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
• City of the host institution: São Paulo
• Principal investigators: 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; 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

(135)

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

DA COSTA, DIOGO RICARDO; DE PAIVA, LUAM SILVA; ROCHA, JULIA G. S.; HERMES, JOELSON D. V.; HANSEN, MATHEUS; VIANA, RICARDO LUIZ; CALDAS, IBERE LUIZ; MEDRANO-T, RENE O.. A recursive method to find the extreme and superstable curves in the parameter space of dissipative one-dimensional mappings. Chaos, v. 35, n. 2, p. 11-pg., 2025-02-01. (20/02415-7, 24/06718-5, 19/09150-1, 18/03211-6)

PALMERO, MATHEUS S.; CALDAS, IBERE L.. Confining and escaping magnetic field lines in tokamaks: Analysis via symplectic maps. FUNDAMENTAL PLASMA PHYSICS, v. 8, p. 13-pg., 2023-12-01. (20/12478-6, 18/03000-5, 18/03211-6)

BOARETTO, BRUNO R. R.; MACAU, ELBERT E. N.; MASOLLER, CRISTINA. Noise-induced extreme events in Hodgkin-Huxley neural networks. CHAOS SOLITONS & FRACTALS, v. 194, p. 7-pg., 2025-02-21. (21/09839-0, 23/16273-8, 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)

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)

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)

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)

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)

DA SILVA, SIDNEY T.; GABRICK, ENRIQUE C.; DE MORAES, ANA LUIZA R.; VIANA, RICARDO L.; BATISTA, ANTONIO M.; CALDAS, IBERE L.; KURTHS, JUERGEN. Predicting temperatures in Brazilian states capitals via Machine Learning. European Physical Journal-Special Topics, v. N/A, p. 20-pg., 2025-06-02. (25/02318-5, 22/13761-9, 18/03211-6, 24/14478-4, 24/05700-5)

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)

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)

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)

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)

VIANA, R. L.; SOUZA, L. C.; SALES, M. R.; MUGNAINE, M.; SZEZECH, J. D., JR.; CALDAS, I. L.; MARWAN, N.; KURTHS, J.. Recurrence-Based Characterization of Stickiness in Hamiltonian Systems. RECURRENCE PLOTS AND THEIR QUANTIFICATIONS: METHODOLOGICAL BREAKTHROUGHS AND INTERDISCIPLINARY DISCOVERIES, v. N/A, p. 14-pg., 2025-01-01. (18/03211-6, 23/16146-6, 23/08698-9)

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)

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)

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)

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)

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)

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)

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