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Non linear dynamics

Grant number: 18/03211-6
Support Opportunities:Research Projects - Thematic Grants
Duration: October 01, 2018 - September 30, 2023
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 grant(s):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 scholarship(s):22/05667-2 - Transport Barriers in Magnetically Confined Plasmas, BP.DR
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
+ associated scholarships 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)

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Scientific publications (46)
(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)
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, . (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, . (14/50279-4, 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, . (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, . (15/05186-0, 18/03211-6)
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, . (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, . (17/23417-5, 18/03211-6, 13/26598-0)
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, . (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, . (18/22140-2, 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, . (18/03211-6, 18/03000-5)
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, . (18/03211-6)
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, . (18/03211-6, 17/14414-2, 18/03000-5)
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, . (18/03211-6, 15/07311-7, 17/18977-1)
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, . (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, . (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, . (18/03211-6, 15/50686-1, 13/26598-0, 17/23417-5)
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, . (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, . (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, . (15/50122-0, 17/05521-0, 13/26598-0, 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, . (19/07329-4, 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, . (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, . (18/03211-6, 17/20192-2)
DE LIMA, D. R.; CALDAS, I. L.. Growth and performance of the periodic orbits of a nonlinear driven oscillator. CHAOS SOLITONS & FRACTALS, v. 150, . (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, . (18/03211-6, 17/20192-2)
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, . (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, . (18/14435-2, 18/03211-6, 20/01399-8)
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, . (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, . (18/03211-6, 15/07311-7)
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, . (15/50122-0, 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, . (18/03211-6, 20/04624-2, 17/18977-1, 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, . (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, . (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, . (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, . (15/50122-0, 18/03211-6)
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, . (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, . (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, . (18/03000-5, 18/03211-6)
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, . (18/03211-6, 15/07311-7)
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, . (19/09150-1, 20/04624-2, 15/50122-0, 18/03211-6)
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, . (18/03211-6, 11/19296-1)
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, . (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, . (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, . (18/03211-6, 15/50686-1, 17/23417-5)
HANSEN, MATHEUS; CIRO, DAVID; CALDAS, IBERE L.; LEONEL, EDSON D.. Dynamical thermalization in time-dependent billiards. Chaos, v. 29, n. 10, . (18/03211-6, 17/14414-2)
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, . (13/07375-0, 17/05831-9, 16/23698-1, 15/50122-0, 19/00157-3, 18/03211-6, 18/01722-3)
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, . (18/03211-6, 14/07043-0, 15/50122-0, 17/23128-3)
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, . (18/03211-6)

Please report errors in scientific publications list by writing to: cdi@fapesp.br.