Non linear dynamics

• Grant number: 18/03211-6
• Support Opportunities: Research Projects - Thematic Grants
• Start date: October 01, 2018
• End date: September 30, 2024
• Field of knowledge: Physical Sciences and Mathematics - Physics
• Principal Investigator: Iberê Luiz Caldas
• Grantee: Iberê Luiz Caldas
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Pesquisadores principais: Elbert Einstein Nehrer Macau ; Jose Carlos Sartorelli
• Associated researchers: Dennis Lozano Toufen ; Elbert Einstein Nehrer Macau ; Zwinglio de Oliveira Guimarães Filho
• Associated research grant(s): 24/14825-6 - Characterization and Identification of Transport Barriers in Dynamic Systems, AV.BR; 24/14478-4 - Machine Learning in Complex Systems, AV.BR; 24/05176-4 - Characterization of Parameter Space for Nonlinear Systems, AV.BR; + associated grants 23/05646-8 - International Conference on Statistical Physics, AR.EXT; 22/13761-9 - Complex Systems Dynamics, AV.BR; 22/04251-7 - Fractal Structures in Plasma Physics, AV.BR; 19/06790-0 - Vulnerability of syncrhonized states in real time, AV.EXT - associated grants
• Associated scholarship(s): 24/08496-0 - Transport in Helimaks, BP.DD; 22/15489-4 - Guiding centre orbits of particles in tokamaks, BP.DD; 22/05667-2 - Transport Barriers in Magnetically Confined Plasmas, BP.DR; + associated scholarships 22/12736-0 - Oscillations in magnetically confined plasmas, BP.PD; 21/09839-0 - The role of synaptic current in synchronizing of neuronal networks, BP.PD; 22/01934-6 - Symplectic maps in plasmas, BP.IC; 21/14350-0 - Control of particles transport in Texas Helimak, BP.DD; 21/12232-0 - Chaotic particle transport, BP.PD; 20/03912-4 - Bursts Statistics in the TCABR Tokamak, BP.MS; 20/04624-2 - Synaptic plasticity in neuronal networks, BP.PD; 20/01399-8 - Symplectic maps for magnetically confined plasmas, BP.DD; 18/22140-2 - Modelling circadian cycles, jet-lag and social jet-lag in mammals, BP.PD; 15/05186-0 - Bifurcations and control of chaos in wave-particle interactions, BP.PD; 15/07311-7 - Dynamic behaviour of neural networks, BP.PD; 13/26598-0 - Fractal Boundaries between chaos and periodicity in the parameters space., BP.PD - associated scholarships

Abstract

We apply basic theories of chaos and turbulence to investigate the control of chaotic dynamical systems. For hamiltonian systems, we investigate the transition to chaos and the onset and break of transport barriers, as observed in magnetically confined plasmas and particle accelerators. We also investigate the turbulence onset in magnetically confined plasmas and interpret control experiments in tokamaks and helimaks. Moreover, we also investigate chaotic dissipative systems, found in applied physics and engineering, and identify dynamical properties of these systems in the parameter space. We perform experiments on the Matsumoto-Chua circuit, faucet formation, bubble formation, mechanical systems (parametric pendula), and plasma turbulence and MHD instabilities in tokamaks. We also investigate the synchronization in neural networks, and the occurrence of chimeras and plasticity in these systems, and the syncrhronization of a network of non linear oscillators. (AU)

Scientific publications

(123)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

PRADO, THIAGO DE LIMA; MACAU, ELBERT EINSTEIN NEHRER; LOPES, SERGIO ROBERTO. Detection of data corruption in stationary time series using recurrence microstates probabilities. European Physical Journal-Special Topics, JUN 2021. (15/50122-0, 18/03211-6)

MUGNAINE, MICHELE; BATISTA, ANTONIO M.; CALDAS, IBERE L.; SZEZECH JR, JOSE D.; DE CARVALHO, RICARDO EGYDIO; VIANA, RICARDO L.. Curry-Yorke route to shearless attractors and coexistence of attractors in dissipative nontwist systems. Chaos, v. 31, n. 2, FEB 2021. (19/07329-4, 18/03211-6)

MEDEIROS, EVERTON S.; MEDRANO-T, RENE O.; CALDAS, THERE L.; TEL, TAMAS; FEUDEL, ULRIKE. State-dependent vulnerability of synchronization. Physical Review E, v. 100, n. 5, NOV 4 2019. (18/03211-6, 17/05521-0, 13/26598-0, 15/50122-0)

MATHIAS, A. C.; MUGNAINE, M.; SANTOS, M. S.; SZEZECH, JR., J. D.; CALDAS, I. L.; VIANA, R. L.. Fractal structures in the parameter space of nontwist area-preserving maps. Physical Review E, v. 100, n. 5, NOV 18 2019. (18/03211-6)

VIANA, R. L.; CALDAS, I. L.; SZEZECH JR., J. D.; BATISTA, A. M.; ABUD, C. V.; SCHELIN, A. B.; MUGNAINE, M.; SANTOS, M. S.; LEAL, B. B.; BARTOLONI, B.; et al. Transport Barriers in Symplectic Maps. Brazilian Journal of Physics, APR 2021. (18/03211-6)

FREITAS, VANDER L. S.; YANCHUK, SERHIY; GRANDE, HELDER L. C.; MACAU, ELBERT E. N.. The effects of time-delay and phase lags on symmetric circular formations of mobile agents. European Physical Journal-Special Topics, JUN 2021. (15/50122-0, 18/03211-6)

MARTINS DE OLIVEIRA, VITOR; CIRO, DAVID; CALDAS, IBERE LUIZ. Dynamical trapping in the area-preserving Henon map. European Physical Journal-Special Topics, v. 229, n. 8, SI, p. 1507-1516, MAY 2020. (18/03211-6)

DE OLIVEIRA, VITOR M.; PALMERO, MATHEUS S.; CALDAS, IBERE L.. Measure, dimension, and complexity of the transient motion in Hamiltonian systems. PHYSICA D-NONLINEAR PHENOMENA, v. 431, p. 12-pg., 2022-03-01. (18/03211-6, 18/03000-5)

YANG, CHAO; SANTOS, MOISES S.; PROTACHEVICZ, PAULO R.; DOS REIS, PATRICIO D. C.; IAROSZ, KELLY C.; CALDAS, IBERE L.; BATISTA, ANTONIO M.. Chimera states induced by spike timing-dependent plasticity in a regular neuronal network. AIP ADVANCES, v. 12, n. 10, p. 6-pg., 2022-10-01. (18/03211-6, 20/04624-2)

HANSEN, MATHEUS; CIRO, DAVID; CALDAS, IBERE L.; LEONEL, EDSON D.. Dynamical thermalization in time-dependent billiards. Chaos, v. 29, n. 10, OCT 2019. (18/03211-6, 17/14414-2)

HERNANDEZ, W. A.; GUIMARAES-FILHO, Z.; GRENFELL, G. G.; NASCIMENTO, I. C.. Spatial inhomogeneity effects on burst temperature estimation using a triple probe configuration in Tokamak Chauffage Alfven Bresilien tokamak. JOURNAL OF PLASMA PHYSICS, v. 85, n. 4, AUG 2019. (18/03211-6, 11/19296-1)

PEREIRA, F. A. C.; SOKOLOV, I. M.; TOUFEN, D. L.; GUIMARAES-FILHO, Z. O.; CALDAS, I. L.; GENTLE, K. W.. Statistical properties of intermittent bursts in the Texas Helimak. Physics of Plasmas, v. 26, n. 5, MAY 2019. (18/03211-6, 14/07043-0, 15/50122-0, 17/23128-3)

SILVEIRA, F. E. M.; BENETTI, M. H.; CALDAS, I. L.; SANTOS, K. N. M. M.. escription limit for soliton waves due to critical scaling of electrostatic potentia. Physics of Plasmas, v. 28, n. 9, SEP 2021. (18/03211-6, 17/20192-2)

CONINCK, JOSE C. P.; FERRARI, FABIANO A. S.; REIS, ADRIANE S.; IAROSZ, KELLY C.; CALDAS, IBERE L.; BATISTA, ANTONIO M.; VIANA, RICARDO L.. Network properties of healthy and Alzheimer brains. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 547, JUN 1 2020. (18/03211-6, 15/07311-7)

LOPEZ, ALVARO G.; IAROSZ, KELLY C.; BATIST, ANTONIO M.; SEOANE, JESUS M.; VIANA, RICARDO L.; SANJUAN, MIGUEL A. F.. The role of dose density in combination cancer chemotherapy. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 79, DEC 2019. (18/03211-6, 15/07311-7)

DE SOUSA, M. C.; DOVEIL, F.; ELSKENS, Y.; CALDAS, I. L.. Wave-particle interactions in a long traveling wave tube with upgraded helix. Physics of Plasmas, v. 27, n. 9, SEP 2020. (15/05186-0, 13/01335-6, 11/20794-6, 18/03211-6)

SILVA, I. M.; SCHELIN, A. B.; VIANA, R. L.; CALDAS, I. L.. Transport of blood particles: Chaotic advection even in a healthy scenario. Chaos, v. 30, n. 9, SEP 2020. (18/03211-6)

HANSEN, MATHEUS; PROTACHEVICZ, PAULO R.; IAROSZ, KELLY C.; CALDAS, IBERE L.; BATISTA, ANTONIO; MACAU, ELBERT E. N.. Dynamics of uncoupled and coupled neurons under an external pulsed current. CHAOS SOLITONS & FRACTALS, v. 155, p. 10-pg., 2022-02-01. (18/03211-6, 20/04624-2, 19/09150-1, 15/50122-0)

LACERDA, JULIANA C.; FREITAS, CELSO; MACAU, ELBERT E. N.. Elementary changes in topology and power transmission capacity can induce failures in power grids. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 590, p. 10-pg., 2022-03-15. (18/03211-6)

SALES, MATHEUS R.; MUGNAINE, MICHELE; SZEZECH, JOSE D., JR.; VIANA, RICARDO L.; CALDAS, IBERE L.; MARWAN, NORBERT; KURTHS, JUERGEN. Stickiness and recurrence plots: An entropy-based approach. Chaos, v. 33, n. 3, p. 10-pg., 2023-03-01. (22/04251-7, 18/03211-6)

KOLTUN, ANA P. S.; TROBIA, JOSE; BATISTA, ANTONIO M.; LENZI, ERVIN K.; SANTOS, MOISES S.; BORGES, FERNANDO S.; IAROSZ, KELLY C.; CALDAS, IBERE L.; GABRICK, ENRIQUE C.. Fractional Tumour-Immune Model with Drug Resistance. Brazilian Journal of Physics, v. 54, n. 2, p. 6-pg., 2024-04-01. (18/03211-6)

DE SOUZA, L. F. BERNARDI; DE CARVALHOA, R. EGYDIO; CALDAS, I. L.. Transport barriers for two modes drift wave map. Physics Letters A, v. 444, p. 7-pg., 2022-06-07. (18/03211-6, 19/07329-4)

REIS, A. S.; BRUGNAGO, E. L.; VIANA, R. L.; BATISTA, A. M.; IAROSZ, K. C.; FERRARI, F. A. S.; CALDAS, I. L.. The role of the fitness model in the suppression of neuronal synchronous behavior with three-stage switching control in clustered networks. CHAOS SOLITONS & FRACTALS, v. 167, p. 10-pg., 2023-02-01. (21/12232-0, 22/04251-7, 18/03211-6)

ROSSI, KALEL L.; BUDZINSKI, ROBERTO C.; BOARETTO, BRUNO R. R.; MULLER, LYLE E.; FEUDEL, ULRIKE. Shifts in global network dynamics due to small changes at single nodes. PHYSICAL REVIEW RESEARCH, v. 5, n. 1, p. 17-pg., 2023-03-30. (21/09839-0, 18/03211-6)

GABRICK, ENRIQUE C.; SAYARI, ELAHEH; PROTACHEVICZ, PAULO R.; SZEZECH JR, JOSE D.; IAROSZ, KELLY C.; DE SOUZA, SILVIO L. T.; ALMEIDA, ALEXANDRE C. L.; VIANA, RICARDO L.; CALDAS, IBERE L.; BATISTA, ANTONIO M.. Unpredictability in seasonal infectious diseases spread. CHAOS SOLITONS & FRACTALS, v. 166, p. 8-pg., 2022-12-13. (22/05153-9, 18/03211-6, 20/04624-2)

PROTACHEVICZ, PAULO RICARDO; BORGES, FERNANDO DA SILVA; BATISTA, ANTONIO MARCOS; BAPTISTA, MURILO DA SILVA; CALDAS, IBERE LUIZ; MACAU, ELBERT EINSTEIN NEHRER; LAMEU, EWANDSON LUIZ. Plastic neural network with transmission delays promotes equivalence between function and structure. CHAOS SOLITONS & FRACTALS, v. 171, p. 9-pg., 2023-04-26. (20/04624-2, 22/05153-9, 16/23398-8, 22/13761-9, 18/03211-6, 17/13502-5)

MATHIAS, A. C.; MUGNAINE, M.; SANTOS, M. S.; SZEZECH, J. D., JR.; CALDAS, I. L.; VIANA, R. L.. Fractal structures in the parameter space of nontwist area-preserving maps. PHYSICAL REVIEW E, v. 100, n. 5, p. 8-pg., 2019-11-18. (18/03211-6)

RAPHALDINI, BRENO; CIRO, DAVID; MEDEIROS, EVERTON S.; MASSAROPPE, LUCAS; TRINDADE, RICARDO I. F.. Evidence for crisis-induced intermittency during geomagnetic superchron transitions. PHYSICAL REVIEW E, v. 101, n. 2, p. 8-pg., 2020-02-12. (13/26598-0, 15/50686-1, 18/03211-6, 17/23417-5)

MARTINS DE OLIVEIRA, VITOR; CIRO, DAVID; CALDAS, IBERE LUIZ. Dynamical trapping in the area-preserving Henon map. European Physical Journal-Special Topics, v. 229, n. 8, p. 10-pg., 2020-05-01. (18/03211-6)

SANTOS, MOISES S.; PROTACHEVICZ, PAULO R.; CALDAS, IBERE L.; IAROSZ, KELLY C.; VIANA, RICARDO L.; SZEZECH, JOSE D.; DE SOUZA, SILVIO L. T.; BATISTA, ANTONIO M.. Spiral wave chimera states in regular and fractal neuronal networks. JOURNAL OF PHYSICS-COMPLEXITY, v. 2, n. 1, p. 7-pg., 2021-06-01. (18/03211-6, 20/04624-2)

REIS, ADRIANE S.; BRUGNAGO, EDUARDO L.; CALDAS, IBERE L.; BATISTA, ANTONIO M.; IAROSZ, KELLY C.; FERRARI, FABIANO A. S.; VIANA, RICARDO L.. Suppression of chaotic bursting synchronization in clustered scale-free networks by an external feedback signal. Chaos, v. 31, n. 8, AUG 2021. (18/03211-6)

OSORIO, L. A.; ROBERTO, M.; CALDAS, I. L.; VIANA, R. L.; ELSKENS, Y.. Onset of internal transport barriers in tokamaks. Physics of Plasmas, v. 28, n. 8, AUG 2021. (18/14435-2, 18/03211-6, 20/01399-8)

DE LIMA, D. R.; CALDAS, I. L.. Growth and performance of the periodic orbits of a nonlinear driven oscillator. CHAOS SOLITONS & FRACTALS, v. 150, SEP 2021. (18/03211-6)

SILVEIRA, FRANCISCO E. M.; BENETTI, MONA HEGEL; CALDAS, IBERE LUIZ. Equation of State of the Kappa-Distributed Solar Wind Particles in the Earth's Magnetopause. SOLAR PHYSICS, v. 296, n. 7, JUL 2021. (18/03211-6, 17/20192-2)

RAPHALDINI, BRENO; MEDEIROS, EVERTON; RAUPP, CARLOS F. M.; TERUYA, ANDRE SEIJI. A New Mechanism for Maunder-like Solar Minima: Phase Synchronization Dynamics in a Simple Nonlinear Oscillator of Magnetohydrodynamic Rossby Waves. Astrophysical Journal Letters, v. 890, n. 1, FEB 10 2020. (18/03211-6, 15/50686-1, 17/23417-5)

REIS, ADRIANE S.; BRUGNAGO, EDUARDO L.; VIANA, RICARDO L.; BATISTA, ANTONIO M.; IAROSZ, KELLY C.; CALDAS, IBERE L.. Effects of feedback control in small-world neuronal networks interconnected according to a human connectivity map. Neurocomputing, v. 518, p. 11-pg., 2023-01-21. (18/03211-6, 21/12232-0)

BRUGNAGO, E. L.; FELICIO, C. C.; BEIMS, M. W.. Forecasting the Duration of Three Connected Wings in a Generalized Lorenz Model. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 32, n. 13, p. 16-pg., 2022-10-01. (18/03211-6, 21/12232-0)

GRIME, GABRIEL C.; ROBERTO, MARISA; VIANA, RICARDO L.; ELSKENS, YVES; CALDAS, IBERE L.. Biquadratic nontwist map: a model for shearless bifurcations. CHAOS SOLITONS & FRACTALS, v. 169, p. 8-pg., 2023-02-11. (22/05667-2, 22/04251-7, 18/03211-6)

OSORIO-QUIROGA, L. A.; GRIME, G. C.; ROBERTO, M.; VIANA, R. L.; ELSKENS, Y.; CALDAS, I. L.. E x B Drift Particle Transport in Tokamaks. Brazilian Journal of Physics, v. 53, n. 4, p. 11-pg., 2023-08-01. (22/05667-2, 20/01399-8, 22/08699-2, 22/04251-7, 18/03211-6)

BOARETTO, BRUNO R. R.; BUDZINSKI, ROBERTO C.; ROSSI, KALEL L.; MASOLLER, CRISTINA; MACAU, ELBERT E. N.. Spatial permutation entropy distinguishes resting brain states. CHAOS SOLITONS & FRACTALS, v. 171, p. 6-pg., 2023-04-28. (21/09839-0, 18/03211-6)

PRADO, THIAGO DE LIMA; MACAU, ELBERT EINSTEIN NEHRER; LOPES, SERGIO ROBERTO. Detection of data corruption in stationary time series using recurrence microstates probabilities. European Physical Journal-Special Topics, v. 230, n. 14-15, p. 2737-2744, OCT 2021. (15/50122-0, 18/03211-6)

PALMERO, MATHEUS S.; DIAZ, I, GABRIEL; CALDAS, IBERE L.; SOKOLOV, IGOR M.. Sub-diffusive behavior in the Standard Map. European Physical Journal-Special Topics, v. 230, n. 14-15, p. 2765-2773, OCT 2021. (18/03000-5, 18/03211-6)

GUSSO, ANDRE; VIANA, RICARDO L.; MATHIAS, AMANDA C.; CALDAS, IBERE L.. Nonlinear dynamics and chaos in micro/nanoelectromechanical beam resonators actuated by two-sided electrodes. CHAOS SOLITONS & FRACTALS, v. 122, p. 6-16, MAY 2019. (18/03211-6)

TROBIA, JOSE; TIAN, KUN; BATISTA, ANTONIO M.; GREBOGI, CELSO; REN, HAI-PENG; SANTOS, MOISES S.; PROTACHEVICZ, PAULO R.; BORGES, FERNANDO S.; SZEZECH, JR., JOSE D.; VIANA, RICARDO L.; et al. Mathematical model of brain tumour growth with drug resistance. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 103, DEC 2021. (18/03211-6, 20/04624-2, 17/18977-1, 15/07311-7)

FERREIRA, LEONARDO N.; VEGA-OLIVEROS, DIDIER A.; ZHAO, LIANG; CARDOSO, MANOEL F.; MACAU, ELBERT E. N.. Global fire season severity analysis and forecasting. Computers & Geosciences, v. 134, JAN 2020. (13/07375-0, 17/05831-9, 16/23698-1, 15/50122-0, 19/00157-3, 18/03211-6, 18/01722-3)

SILVEIRA, F. E. M.; CAMARGO, R. S.; CALDAS, I. L.. Concentration discontinuity of alkalies at high pressures. Physics Letters A, v. 395, APR 16 2021. (18/03211-6, 17/20192-2)

DOS SANTOS, VAGNER; BORGES, FERNANDO S.; IAROSZ, KELLY C.; CALDAS, IBERE L.; SZEZECH, J. D.; VIANA, RICARDO L.; BAPTISTA, MURILO S.; BATISTA, ANTONIO M.. Basin of attraction for chimera states in a network of Rossler oscillators. Chaos, v. 30, n. 8, AUG 2020. (18/03211-6, 15/07311-7, 17/18977-1)

PROTACHEVICZ, PAULO R.; HANSEN, MATHEUS; IAROSZ, KELLY C.; CALDAS, IBERE L.; BATISTA, ANTONIO M.; KURTHS, JURGEN. Emergence of Neuronal Synchronisation in Coupled Areas. FRONTIERS IN COMPUTATIONAL NEUROSCIENCE, v. 15, APR 22 2021. (19/09150-1, 20/04624-2, 15/50122-0, 18/03211-6)

MUGNAINE, MICHELE; LEAL, BRUNO B.; CALDAS, IBERE L.; DE ALMEIDA, ALFREDO M. OZORIO; VIANA, RICARDO L.. Isochronous bifurcations in a two-parameter twist map. PHYSICAL REVIEW E, v. 110, n. 2, p. 8-pg., 2024-08-14. (18/03211-6, 22/12736-0, 23/10521-0)

BITTENCOURT, M. S.; BRUGNAGO, E. L.; GUIMARAES-FILHO, Z. O.; CALDAS, I. L.; REIS, A. S.. How a responsive reproduction factor is determinant in a prey-predator dynamics: A numerical and analytical study in a discrete-time model. Chaos, v. 35, n. 1, p. 12-pg., 2025-01-01. (18/03211-6, 21/12232-0)

BOARETTO, B. R. R.; ANDREANI, A. C.; LOPES, S. R.; PRADO, T. L.; MACAU, E. E. N.. The use of entropy of recurrence microstates and artificial intelligence to detect cardiac arrhythmia in ECG records. Applied Mathematics and Computation, v. 475, p. 11-pg., 2024-04-15. (18/03211-6, 21/09839-0)

DOS SANTOS, VAGNER; SALES, MATHEUS ROLIM; CALDAS, IBERE LUIZ; VIANA, RICARDO LUIZ; SZEZECH JR, JOSE DANILO. Extended networks as a route of stabilization of divergent dynamics. CHAOS SOLITONS & FRACTALS, v. 193, p. 8-pg., 2025-04-01. (24/14825-6, 18/03211-6, 23/08698-9)

DE PAIVA, LUAM SILVA; ROCHA, JULIA G. S.; HERMES, JOELSON D. V.; HANSEN, MATHEUS; VIANA, RICARDO LUIZ; CALDAS, IBERE LUIZ; MEDRANO-T, RENE O.; DA COSTA, DIOGO RICARDO. Dynamical properties of the composed Logistic-Gauss map. Chaos, v. 35, n. 1, p. 15-pg., 2025-01-01. (15/50122-0, 20/02415-7, 24/06718-5, 19/09150-1, 18/03211-6)

MUGNAINE, MICHELE; CALDAS, IBERE L.; SZEZECH JR, JOSE D.; VIANA, RICARDO L.. Nontwist field line mapping in a tokamak with ergodic magnetic limiter. PHYSICAL REVIEW E, v. 108, n. 5, p. 12-pg., 2023-11-13. (18/03211-6, 22/12736-0)

BORGES, FERNANDO S.; PROTACHEVICZ, PAULO R.; SOUZA, DIOGO L. M.; BITTENCOURT, CONRADO F.; GABRICK, ENRIQUE C.; BENTIVOGLIO, LUCAS E.; SZEZECH JR, JOSE D.; BATISTA, ANTONIO M.; CALDAS, IBERE L.; DURA-BERNAL, SALVADOR; et al. The Roles of Potassium and Calcium Currents in the Bistable Firing Transition. BRAIN SCIENCES, v. 13, n. 9, p. 17-pg., 2023-09-01. (21/12232-0, 18/03211-6, 22/13761-9, 20/04624-2)

SOUZA, DIOGO L. M.; GABRICK, ENRIQUE C.; PROTACHEVICZ, PAULO R.; BORGES, FERNANDO S.; TROBIA, JOSE; IAROSZ, KELLY C.; BATISTA, ANTONIO M.; CALDAS, IBERE L.; LENZI, ERVIN K.. Adaptive exponential integrate-and-fire model with fractal extension. Chaos, v. 34, n. 2, p. 9-pg., 2024-02-01. (18/03211-6, 23/12863-5, 20/04624-2)

GABRICK, ENRIQUE C.; BRUGNAGO, EDUARDO L.; DE MORAES, ANA L. R.; PROTACHEVICZ, PAULO R.; DA SILVA, SIDNEY T.; BORGES, FERNANDO S.; CALDAS, IBERE L.; BATISTA, ANTONIO M.; KURTHS, JUERGEN. Control, bi-stability, and preference for chaos in time-dependent vaccination campaign. Chaos, v. 34, n. 9, p. 13-pg., 2024-09-01. (20/04624-2, 18/03211-6, 23/12863-5, 21/12232-0, 22/13761-9)

FRAILE, ANDRE C.; ROBERTO, MARISA; CANAL, GUSTAVO P.; CALDAS, IBERE L.. Isochronous bifurcations of magnetic islands in tokamaks. Physics of Plasmas, v. 31, n. 7, p. 11-pg., 2024-07-01. (22/08699-2, 18/03211-6)

FAVARO, VITOR H. A.; GABRICK, ENRIQUE C.; BATISTA, ANTONIO M.; CALDAS, IBERE L.; VIANA, RICARDO L.. Epidemiological model based on networks with non-local coupling. CHAOS SOLITONS & FRACTALS, v. 177, p. 9-pg., 2023-11-18. (22/04251-7, 18/03211-6)

MUGNAINE, M.; CALDAS, I. L.; SZEZECH JR, J. D.; VIANA, R. L.; MORRISON, P. J.. Shearless effective barriers to chaotic transport induced by even twin islands in nontwist systems. PHYSICAL REVIEW E, v. 110, n. 4, p. 9-pg., 2024-10-02. (18/03211-6, 22/12736-0, 23/10521-0)

MUGNAINE, MICHELE; BATISTA, ANTONIO M.; CALDAS, IBERE L.; SZEZECH JR, JOSE D.; DE CARVALHO, RICARDO EGYDIO; VIANA, RICARDO L.. Curry-Yorke route to shearless attractors and coexistence of attractors in dissipative nontwist systems. Chaos, v. 31, n. 2, p. 12-pg., 2021-02-01. (18/03211-6, 19/07329-4)

GABRICK, ENRIQUE C.; SALES, MATHEUS R.; SAYARI, ELAHEH; TROBIA, JOSE; LENZI, ERVIN K.; BORGES, FERNANDO S.; SZEZECH JR., JOSE D.; IAROSZ, KELLY C.; VIANA, RICARDO L.; CALDAS, IBERE L.; et al. Fractional Dynamics and Recurrence Analysis in Cancer Model. Brazilian Journal of Physics, v. 53, n. 6, p. 11-pg., 2023-12-01. (22/04251-7, 18/03211-6, 22/13761-9)

ALVAREZ, ARNOLD A.; BRUGNAGO, EDUARDO L.; CALDAS, I. L.. Routes to chaos and bistability in the Rypdal model with a parametric disturbance. CHAOS SOLITONS & FRACTALS, v. 186, p. 10-pg., 2024-07-18. (21/12232-0, 18/03211-6, 21/14350-0)

DIAZ, I, GABRIEL; PALMERO, MATHEUS S.; CALDAS, IBERE LUIZ; LEONEL, EDSON D.. Diffusion entropy analysis in billiard systems. Physical Review E, v. 100, n. 4, OCT 7 2019. (18/03211-6, 17/14414-2, 18/03000-5)

RAPHALDINI, BRENO; CIRO, DAVID; MEDEIROS, EVERTON S.; MASSAROPPE, LUCAS; TRINDADE, RICARDO I. F.. Evidence for crisis-induced intermittency during geomagnetic superchron transitions. Physical Review E, v. 101, n. 2, FEB 12 2020. (18/03211-6, 15/50686-1, 13/26598-0, 17/23417-5)

PALMERO, MATHEUS S.; DIAZ, I, GABRIEL; CALDAS, IBERE L.; SOKOLOV, IGOR M.. Sub-diffusive behavior in the Standard Map. European Physical Journal-Special Topics, JUN 2021. (18/03211-6, 18/03000-5)

ZURITA, M.; HERNANDEZ, W. A.; CREPALDI, C.; PEREIRA, F. A. C.; GUIMARAES-FILHO, Z. O.. Stochastic modeling of plasma fluctuations with bursts and correlated noise in TCABR. Physics of Plasmas, v. 29, n. 5, p. 16-pg., 2022-05-01. (18/03211-6, 20/03912-4)

MUGNAINE, MICHELE; BATISTA, ANTONIO M.; CALDAS, IBERE L.; SZEZECH JR, JOSE D.; VIANA, RICARDO L.. Ratchet current in nontwist Hamiltonian systems. Chaos, v. 30, n. 9, SEP 2020. (18/03211-6)

MUGNAINE, MICHELE; GABRICK, ENRIQUE C.; PROTACHEVICZ, PAULO R.; IAROSZ, KELLY C.; DE SOUZA, SILVIO L. T.; ALMEIDA, ALEXANDRE C. L.; BATISTA, ANTONIO M.; CALDAS, IBERE L.; SZEZECH, JOSE D., JR.; VIANA, RICARDO L.. Control attenuation and temporary immunity in a cellular automata SEIR epidemic model. CHAOS SOLITONS & FRACTALS, v. 155, p. 9-pg., 2022-02-01. (18/03211-6, 20/04624-2)

DE SOUSA, M. C.; DOVEIL, F.; ELSKENS, Y.; CALDAS, I. L.; IEEE. An Upgraded 4 Meters Long Traveling Wave Tube for Plasma Physics Research. IVEC 2021: 2021 22ND INTERNATIONAL VACUUM ELECTRONICS CONFERENCE, v. N/A, p. 2-pg., 2021-01-01. (18/03211-6, 11/20794-6, 13/01335-6, 15/05186-0)

SANTOS, MOISES S.; PROTACHEVICZ, PAULO R.; IAROSZ, KELLY C.; CALDAS, IBERE L.; VIANA, RICARDO L.; BORGES, FERNANDO S.; REN, HAI-PENG; SZEZECH, JR., JOSE D.; BATISTA, ANTONIO M.; GREBOGI, CELSO. Spike-burst chimera states in an adaptive exponential integrate-and-fire neuronal network. Chaos, v. 29, n. 4, APR 2019. (18/03211-6, 15/07311-7, 17/18977-1)

PROTACHEVICZ, PAULO R.; BORGES, FERNANDO S.; LAMEU, EWANDSON L.; JI, PENG; IAROSZ, KELLY C.; KIHARA, ALEXANDRE H.; CALDAS, LBERE L.; SZEZECH JR, JOSE D.; BAPTISTE, MURILO S.; MACAU, ELBERT E. N.; et al. Bistable Firing Pattern in a Neural Network Model. FRONTIERS IN COMPUTATIONAL NEUROSCIENCE, v. 13, APR 5 2019. (17/18977-1, 16/23398-8, 16/16148-5, 15/07311-7, 17/13502-5, 15/50122-0, 18/03211-6)

VISCONDI, THIAGO F.; GRIGOLO, ADRIANO; CALDAS, IBERE L.; MENEGHINI, JULIO R.. Slippery-sticky transition of interfacial fluid slip. Physics of Fluids, v. 33, n. 6, JUN 2021. (14/50279-4, 18/03211-6)

DE OLIVEIRA, VITOR M.; SOUSA-SILVA, PRISCILLA A.; CALDAS, IBERE L.. Order-chaos-order and invariant manifolds in the bounded planar Earth-Moon system. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, v. 132, n. 11-12, DEC 2020. (18/03211-6)

LACERDA, JULIANA C.; DIAS, JUSSARA; FREITAS, CELSO; MACAU, ELBERT. Vulnerability and stability of power grids modeled by second-order Kuramoto model: a mini review. European Physical Journal-Special Topics, v. 230, n. 18-20, SI, AUG 2021. (18/03211-6)

GOMES, J. V.; DE SOUSA, M. C.; VIANA, R. L.; CALDAS, I. L.; ELSKENS, Y.. Low-dimensional chaos in the single wave model for self-consistent wave-particle Hamiltonian. Chaos, v. 31, n. 8, AUG 2021. (15/05186-0, 18/03211-6)

TOUFEN, D. L.; PEREIRA, F. A. C.; GUIMARAES-FILHO, Z. O.; CALDAS, I. L.; GENTLE, K. W.. Gradient-driven turbulence in Texas Helimak. Physics of Plasmas, v. 29, n. 4, p. 7-pg., 2022-04-01. (18/03211-6)

LAZAROTTO, MATHEUS J.; CALDAS, IBERE L.; ELSKENS, YVES. Diffusion transitions in a 2D periodic lattice. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 112, p. 18-pg., 2022-09-01. (18/03211-6)

FREITAS, VANDER L. S.; YANCHUK, SERHIY; GRANDE, HELDER L. C.; MACAU, ELBERT E. N.. The effects of time-delay and phase lags on symmetric circular formations of mobile agents. European Physical Journal-Special Topics, v. 230, n. 14-15, p. 2857-2864, OCT 2021. (15/50122-0, 18/03211-6)

LACERDA, JULIANA C.; FREITAS, CELSO; MACAU, ELBERT E. N.; KURTHS, JUERGEN. How heterogeneity in connections and cycles matter for synchronization of complex networks. Chaos, v. 31, n. 11, NOV 2021. (18/03211-6)

PALMERO, MATHEUS S.; CALDAS, IBERE L.; SOKOLOV, IGOR M.. Finite-time recurrence analysis of chaotic trajectories in Hamiltonian systems. Chaos, v. 32, n. 11, p. 16-pg., 2022-11-01. (18/03211-6, 20/12478-6, 18/03000-5)

PROTACHEVICZ, PAULO R.; BORGES, FERNANDO S.; IAROSZ, KELLY C.; BAPTISTA, MURILO S.; LAMEU, EWANDSON L.; HANSEN, MATHEUS; CALDAS, IBERE L.; SZEZECH, JOSE D., JR.; BATISTA, ANTONIO M.; KURTHS, JUERGEN. Influence of Delayed Conductance on Neuronal Synchronization. FRONTIERS IN PHYSIOLOGY, v. 11, p. 9-pg., 2020-09-03. (15/50122-0, 20/04624-2, 15/07311-7, 16/23398-8, 17/18977-1, 18/03211-6)

DE SOUZA, SILVIO L. T.; BATISTA, ANTONIO M.; CALDAS, IBERE L.; IAROSZ, KELLY C.; SZEZECH JR, JOSE D.. Dynamics of epidemics: Impact of easing restrictions and control of infection spread. CHAOS SOLITONS & FRACTALS, v. 142, JAN 2021. (18/03211-6)

REIS, ADRIANE S.; IAROSZ, KELLY C.; FERRARI, FABIANO A. S.; CALDAS, IBERE L.; BATISTA, ANTONIO M.; VIANA, RICARDO L.. Bursting synchronization in neuronal assemblies of scale-free networks. CHAOS SOLITONS & FRACTALS, v. 142, JAN 2021. (18/03211-6)

MEDEIROS, EVERTON S.; MEDRANO-T, RENE O.; CALDAS, IBERE L.; FEUDEL, ULRIKE. The impact of chaotic saddles on the synchronization of complex networks of discrete-time units. JOURNAL OF PHYSICS-COMPLEXITY, v. 2, n. 3, SEP 2021. (15/50122-0, 17/05521-0, 13/26598-0, 18/03211-6)

DA SILVA, S. T.; BATISTA, C. A. S.; VIANA, R. L.. Machine learning applied to pattern characterization in spatially extended dynamical systems. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 592, p. 15-pg., 2022-01-11. (18/03211-6)

HANSEN, MATHEUS; PROTACHEVICZ, PAULO R.; IAROSZ, KELLY C.; CALDAS, IBERE L.; BATISTA, ANTONIO M.; MACAU, ELBERT E. N.. The effect of time delay for synchronisation suppression in neuronal networks. CHAOS SOLITONS & FRACTALS, v. 164, p. 10-pg., 2022-11-01. (18/03211-6, 20/04624-2, 19/09150-1, 15/50122-0)

MATHIAS, AMANDA C.; DE SOUZA, LEONARDO C.; SCHELIN, ADRIANE R.; CALDAS, IBERE L.; VIANA, RICARDO L.. Fractal Escape Basins for Magnetic Field Lines in Fusion Plasma Devices. JOURNAL OF APPLIED NONLINEAR DYNAMICS, v. 12, n. 4, p. 16-pg., 2023-12-01. (18/03211-6)

BENETTI, M. H.; SILVEIRA, F. E. M.; CALDAS, I. L.. Fundamental solution of diffusion equation for Kappa gas: Diffusion length for suprathermal electrons in solar wind. PHYSICAL REVIEW E, v. 107, n. 5, p. 8-pg., 2023-05-22. (18/03211-6)

MATHIAS, A. C.; PEROTTO, G.; VIANA, R. L.; SCHELIN, A.; CALDAS, I. L.. Fractal Structures and Magnetic Footprints in a Divertor Tokamak. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 32, n. 06, p. 14-pg., 2022-05-01. (18/03211-6)

GRIME, G. C.; ROBERTO, M.; VIANA, R. L.; ELSKENS, Y.; CALDAS, I. L.. Shearless bifurcations in particle transport for reversed-shear tokamaks. JOURNAL OF PLASMA PHYSICS, v. 89, n. 1, p. 19-pg., 2023-02-15. (22/04251-7, 18/03211-6, 22/05667-2)

SOUZA, L. C.; MATHIAS, A. C.; CALDAS, I. L.; ELSKENS, Y.; VIANA, R. L.. Fractal and Wada escape basins in the chaotic particle drift motion in tokamaks with electrostatic fluctuations. Chaos, v. 33, n. 8, p. 17-pg., 2023-08-01. (22/04251-7, 18/03211-6)

DA SILVA, SIDNEY T.; GABRICK, ENRIQUE C.; PROTACHEVICZ, PAULO R.; IAROSZ, KELLY C.; CALDAS, IBERE L.; BATISTA, ANTONIO M.; KURTHS, JUERGEN. When climate variables improve the dengue forecasting: a machine learning approach. European Physical Journal-Special Topics, v. N/A, p. 15-pg., 2024-06-17. (22/13761-9, 18/03211-6, 23/12863-5, 20/04624-2)

ROSA, LUCAS A. S.; BRUGNAGO, EDUARDO L.; DELBEN, GUILHERME J.; ROST, JAN-MICHAEL; BEIMS, MARCUS W.. The influence of hyperchaoticity, synchronization, and Shannon entropy on the performance of a physical reservoir computer. Chaos, v. 34, n. 4, p. 16-pg., 2024-04-01. (21/12232-0, 18/03211-6)

SEIFERT, EVANDRO G.; TROBIA, JOSE; CRUZINIANI, FATIMA E.; DE SOUZA, DIOGO L. M.; SAYARI, ELAHEH; GABRICK, ENRIQUE C.; IAROSZ, KELLY C.; SZEZECH JR, JOSE D.; CALDAS, IBERE L.; BATISTA, ANTONIO M.. Effect of Medication in a Glucose-Insulin Mathematical Model. JOURNAL OF APPLIED NONLINEAR DYNAMICS, v. 13, n. 4, p. 9-pg., 2024-12-01. (18/03211-6, 22/13761-9)

SOUZA, DIOGO L. M.; BORGES, FERNANDO S.; GABRICK, ENRIQUE C.; BENTIVOGLIO, LUCAS E.; PROTACHEVICZ, PAULO R.; DOS SANTOS, VAGNER; VIANA, RICARDO L.; CALDAS, IBERE L.; IAROSZ, KELLY C.; BATISTA, ANTONIO M.; et al. Spiral wave dynamics in a neuronal network model. JOURNAL OF PHYSICS-COMPLEXITY, v. 5, n. 2, p. 10-pg., 2024-06-01. (22/04251-7, 18/03211-6, 20/04624-2)

SPEZZATTO, G. S.; FLAUZINO, J. V. V.; CORSO, G.; BOARETTO, B. R. R.; MACAU, E. E. N.; PRADO, T. L.; LOPES, S. R.. Recurrence microstates for machine learning classification. Chaos, v. 34, n. 7, p. 10-pg., 2024-07-01. (18/03211-6, 21/09839-0)

LAZAROTTO, MATHEUS J.; CALDAS, IBERE L.; ELSKENS, YVES. Island myriads in periodic potentials. Chaos, v. 34, n. 3, p. 16-pg., 2024-03-01. (18/03211-6)

DE SOUSA, M. C.; SCHELIN, A. B.; MARCUS, F. A.; VIANA, R. L.; CALDAS, I. L.. Internal energy exchanges and chaotic dynamics in an intrinsically coupled system. Physics Letters A, v. 453, p. 5-pg., 2022-10-14. (15/05186-0, 22/04251-7, 18/03211-6)

BOARETTO, BRUNO R. R.; PROTACHEVICZ, PAULO R.; HANSEN, MATHEUS; OLIVEIRA, JONAS; ANDREANI, ALEXANDRE C.; MACAU, ELBERT E. N.. Phase synchronization in a sparse network of randomly connected neurons under the effect of Poissonian spike inputs. Chaos, v. 33, n. 12, p. 11-pg., 2023-12-01. (22/05153-9, 21/09839-0, 18/03211-6, 20/04624-2)

HAERTER, P.; DE SOUZA, L. C.; MATHIAS, A. C.; VIANA, R. L.; CALDAS, I. L.. Basin Entropy and Wada Property of Magnetic Field Line Escape in Toroidal Plasmas with Reversed Shear. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 33, n. 09, p. 12-pg., 2023-07-01. (22/04251-7, 18/03211-6)

DA COSTA, DIOGO RICARDO; PALMERO, MATHEUS S.; MENDEZ-BERMUDEZ, J. A.; IAROSZ, KELLY C.; SZEZECH JR, JOSE D.; BATISTA, ANTONIO M.. Tilted-hat mushroom billiards: Web-like hierarchical mixed phase space. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 91, p. 9-pg., 2020-12-01. (19/06931-2, 18/03000-5, 20/02415-7, 15/07311-7, 18/03211-6)

DIAS, JUSSARA; MONTANARI, ARTHUR N.; MACAU, ELBERT E. N.. Power-grid vulnerability and its relation with network structure. Chaos, v. 33, n. 3, p. 10-pg., 2023-03-01. (15/50122-0, 18/03211-6)

ROLIM SALES, MATHEUS; MUGNAINE, MICHELE; LEONEL, EDSON DENIS; CALDAS, IBERE L.; SZEZECH JR, JOSE D.. Shrinking shrimp-shaped domains and multistability in the dissipative asymmetric kicked rotor map. Chaos, v. 34, n. 11, p. 10-pg., 2024-11-01. (23/08698-9, 18/03211-6, 21/09519-5, 22/12736-0)

GRIME, GABRIEL C.; ROBERTO, MARISA; VIANA, RICARDO L.; ELSKENS, YVES; CALDAS, IBERE L.. Shearless curve breakup in the biquadratic nontwist map. CHAOS SOLITONS & FRACTALS, v. 172, p. 8-pg., 2023-06-07. (22/08699-2, 22/04251-7, 18/03211-6, 22/05667-2)

GABRICK, ENRIQUE C.; BRUGNAGO, EDUARDO L.; DE SOUZA, SILVIO L. T.; IAROSZ, KELLY C.; SZEZECH JR, JOSE D.; VIANA, RICARDO L.; CALDAS, IBERE L.; BATISTA, ANTONIO M.; KURTHS, JUERGEN. Impact of periodic vaccination in SEIRS seasonal model. Chaos, v. 34, n. 1, p. 14-pg., 2024-01-01. (21/12232-0, 22/04251-7, 18/03211-6, 22/13761-9)

BRUGNAGO, EDUARDO L.; GABRICK, ENRIQUE C.; IAROSZ, KELLY C.; SZEZECH JR, JOSE D.; VIANA, RICARDO L.; BATISTA, ANTONIO M.; CALDAS, IBERE L.. Multistability and chaos in SEIRS epidemic model with a periodic time-dependent transmission rate. Chaos, v. 33, n. 12, p. 12-pg., 2023-12-01. (21/12232-0, 22/04251-7, 18/03211-6, 22/13761-9)

SAYARI, ELAHEH; SEIFERT, EVANDRO G.; CRUZINIANI, FATIMA E.; GABRICK, ENRIQUE C.; IAROSZ, KELLY C.; SZEZECH JR, JOSE D.; BAPTISTA, MURILO S.; CALDAS, IBERE L.; BATISTA, ANTONIO M.. Structural connectivity modifications in the brain of selected patients with tumour after its removal by surgery (a case study). PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 623, p. 15-pg., 2023-08-01. (22/13761-9, 18/03211-6)

DIAZ, GABRIEL, I; PALMERO, MATHEUS S.; CALDAS, IBERE LUIZ; LEONEL, EDSON D.. Diffusion entropy analysis in billiard systems. Physical Review E, v. 100, n. 4, p. 9-pg., 2019-10-07. (17/14414-2, 18/03211-6, 18/03000-5)

MEDEIROS, EVERTON S.; MEDRANO-T, RENE O.; CALDAS, THERE L.; TEL, TAMAS; FEUDEL, ULRIKE. State-dependent vulnerability of synchronization. PHYSICAL REVIEW E, v. 100, n. 5, p. 7-pg., 2019-11-04. (15/50122-0, 13/26598-0, 18/03211-6, 17/05521-0)

MENDES, CARLOS F. O.; BRUGNAGO, EDUARDO L.; BEIMS, MARCUS W.; GRIMM, ALICE M.. Temporal relation between human mobility, climate, and COVID-19 disease. Chaos, v. 33, n. 5, p. 10-pg., 2023-05-01. (21/12232-0, 18/03211-6)

RAPHALDINI, BRENO; MEDEIROS, EVERTON S.; CIRO, DAVID; FRANCO, DANIEL RIBEIRO; TRINDADE, RICARDO I. F.. Geomagnetic reversals at the edge of regularity. PHYSICAL REVIEW RESEARCH, v. 3, n. 1, FEB 18 2021. (17/23417-5, 18/03211-6, 13/26598-0)

BORGES, FERNANDO S.; PROTACHEVICZ, PAULO R.; SOUZA, DIOGO L. M.; BITTENCOURT, CONRADO F.; GABRICK, ENRIQUE C.; BENTIVOGLIO, LUCAS E.; SZEZECH JR, JOSE D.; BATISTA, ANTONIO M.; CALDAS, IBERE L.; DURA-BERNAL, SALVADOR; et al. The Roles of Potassium and Calcium Currents in the Bistable Firing Transition (vol 13, 1347, 2023). BRAIN SCIENCES, v. 14, n. 8, p. 1-pg., 2024-08-01. (21/12232-0, 18/03211-6, 22/13761-9, 20/04624-2)

SOUZA, L. C.; SALES, M. R.; MUGNAINE, M.; SZEZECH, J. D.; CALDAS, I. L.; VIANA, R. L.. Chaotic escape of impurities and sticky orbits in toroidal plasmas. PHYSICAL REVIEW E, v. 109, n. 1, p. 10-pg., 2024-01-05. (22/04251-7, 18/03211-6, 22/12736-0)

PEREIRA, F. A. C.; TOUFEN, D. L.; GUIMARAES-FILHO, Z. O.; CALDAS, I. L.; VIANA, R. L.; GENTLE, K. W.. Coexistence of turbulence regimes in the Texas Helimak. Physics of Plasmas, v. 28, n. 3, MAR 2021. (18/03211-6, 15/50122-0, 17/23128-3)

RUZISKA, FLAVIA M.; CALDAS, IBERE L.. Synchronization and attractors in a model simulating social jetlag. CHAOS SOLITONS & FRACTALS, v. 144, MAR 2021. (18/22140-2, 18/03211-6)

VIANA, R. L.; CALDAS, I. L.; SZEZECH JR., J. D.; BATISTA, A. M.; ABUD, C. V.; SCHELIN, A. B.; MUGNAINE, M.; SANTOS, M. S.; LEAL, B. B.; BARTOLONI, B.; et al. Transport Barriers in Symplectic Maps. Brazilian Journal of Physics, v. 51, n. 3, p. 11-pg., 2021-04-07. (18/03211-6)

GRIME, GABRIEL C.; CALDAS, IBERE L.; VIANA, RICARDO L.; ELSKENS, YVES. Effective transport barriers in the biquadratic nontwist map. PHYSICAL REVIEW E, v. 111, n. 1, p. 12-pg., 2025-01-17. (22/05667-2, 18/03211-6)

BOARETTO, BRUNO R. R.; MACAU, ELBERT E. N.; MASOLLER, CRISTINA. Characterizing the spike timing of a chaotic laser by using ordinal analysis and machine learning. Chaos, v. 34, n. 4, p. 8-pg., 2024-04-01. (18/03211-6, 21/09839-0)

LEAL, B. B.; CALDAS, I. L.; DE SOUSA, M. C.; VIANA, R. L.; OZORIO DE ALMEIDA, A. M.. Isochronous island bifurcations driven by resonant magnetic perturbations in tokamaks. PHYSICAL REVIEW E, v. 109, n. 1, p. 13-pg., 2024-01-31. (22/04251-7, 18/03211-6)

DE SOUZA, SILVIO L. T.; BATISTA, ANTONIO M.; MEDRANO-T, RENE O.; CALDAS, IBERE L.. Quasiperiodic shrimp-shaped domains in intrinsically coupled oscillators. Chaos, v. 34, n. 12, p. 6-pg., 2024-12-01. (24/05176-4, 24/14478-4, 18/03211-6, 24/06718-5)

VIANA, R. L.; MUGNAINE, M.; CALDAS, I. L.. Hamiltonian description for magnetic field lines in fusion plasmas: A tutorial. Physics of Plasmas, v. 30, n. 9, p. 15-pg., 2023-09-01. (18/03211-6, 22/12736-0)

PROTACHEVICZ, P. R.; BONIN, C. A.; IAROSZ, K. C.; CALDAS, I. L.; BATISTA, A. M.. Large coefficient of variation of inter-spike intervals induced by noise current in the resonate-and-fire model neuron. COGNITIVE NEURODYNAMIC, v. N/A, p. 10-pg., 2022-02-28. (18/03211-6, 20/04624-2)