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Non linear dynamics

Grant number: 18/03211-6
Support type:Research Projects - Thematic Grants
Duration: October 01, 2018 - September 30, 2023
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal researcher:Iberê Luiz Caldas
Grantee:Iberê Luiz Caldas
Home Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Pesquisadores principais:
Jose Carlos Sartorelli
Assoc. researchers:Dennis Lozano Toufen ; Elbert Einstein Nehrer Macau ; Zwinglio de Oliveira Guimarães Filho
Associated grant(s):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):22/12736-0 - 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
+ associated scholarships 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 (43)
(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)
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)
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)
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)
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)
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)
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)
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, 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)
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)
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, 19/00157-3, 18/03211-6, 18/01722-3, 17/05831-9, 15/50122-0, 16/23698-1)
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)
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)
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)
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)
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)
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)
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, . (18/03211-6, 19/07329-4)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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, . (16/16148-5, 17/18977-1, 15/50122-0, 18/03211-6, 15/07311-7, 17/13502-5, 16/23398-8)
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)
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)
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)
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)
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)

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