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Dinâmica não linear

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Aplicamos teorias básicas do caos e turbulência para investigar e controlar sistemas dinâmicos. Para sistemas dinâmicos hamiltonianos, investigamos a transição para o caos e o surgimento e quebra de barreiras de transporte, como observados em plasmas confinados magneticamente e feixes de partículas em aceleradores. Também investigamos a origem da turbulência em um plasma confinado magnéticamente e interpretamos experiências de controle da turbulência em tokamaks e em helimaks. Além desses sistemas, investigamos também o controle de sistemas caóticos dissipativos, de interesse na física aplicada e na engenharia, e determinamos propriedades dinâmicas desses sistemas no espaço dos parâmetros. Fazemos experiências de controle sobre o circuito de Matsumoto-Chua, a formação de gotas, a formação de bolhas de ar e sistemas mecânicos. (AU)

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Publicações científicas (59)
(Referências obtidas automaticamente do Web of Science e do SciELO, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores)
DE SOUSA, M. C.; MARCUS, F. A.; CALDAS, I. L.; VIANA, R. L.. Energy distribution in intrinsically coupled systems: The spring pendulum paradigm. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 509, p. 1110-1119, . (15/05186-0, 11/19296-1)
PROTACHEVICZ, P. R.; BORGES, F. S.; IAROSZ, K. C.; CALDAS, I. L.; BAPTISTA, M. S.; VIANA, R. L.; LAMEU, E. L.; MACAU, E. E. N.; BATISTA, A. M.. How synapses can enhance sensibility of a neural network. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 492, p. 1045-1052, . (15/07311-7, 11/19296-1, 16/23398-8, 16/16148-5, 15/50122-0)
FRAILE, JR., ANDRE CARLOS; ROBERTO, MARISA; CALDAS, IBERE LUIZ; LOPES MARTINS, CAROLINE GAMEIRO. Plasma Response to Resonant Magnetic Perturbations in Large Aspect Ratio Tokamaks. IEEE TRANSACTIONS ON PLASMA SCIENCE, v. 45, n. 11, p. 2906-2912, . (15/16471-8, 11/19296-1)
MEDEIROS, E. S.; CALDAS, I. L.; BAPTISTA, M. S.. Sensitive dependence on parameters of continuous-time nonlinear dynamical systems. CHAOS SOLITONS & FRACTALS, v. 99, p. 16-19, . (11/19296-1, 13/26598-0)
BORGES, F. S.; PROTACHEVICZ, P. R.; PENA, R. F. O.; LAMEU, E. L.; HIGA, V, G. S.; KIHARA, J. A. H.; MATIAS, F. S.; ANTONOPOULOS, C. G.; DE PASQUALE, R.; ROQUE, A. C.; et al. Self-sustained activity of low firing rate in balanced networks. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 537, . (16/23398-8, 13/07699-0, 15/50122-0, 17/18977-1, 15/07311-7, 11/19296-1, 17/13502-5, 17/20920-8, 17/26439-0, 13/25667-8)
PALMERO, MATHEUS S.; LIVORATI, ANDRE L. P.; CALDAS, IBERE L.; LEONEL, EDSON D.. Ensemble separation and stickiness influence in a driven stadium-like billiard: A Lyapunov exponents analysis. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 65, p. 248-259, . (17/14414-2, 14/25316-3, 11/19296-1, 12/00556-6, 12/23688-5, 15/26699-6)
PROTACHEVICZ, P. R.; BORGES, R. R.; REIS, A. S.; BORGES, F. S.; IAROSZ, K. C.; CALDAS, I. L.; LAMEU, E. L.; MACAU, E. E. N.; VIANA, R. L.; SOKOLOV, I. M.; et al. Synchronous behaviour in network model based on human cortico-cortical connections. Physiological Measurement, v. 39, n. 7, . (15/50122-0, 16/23398-8, 11/19296-1, 17/20920-8, 15/07311-7, 17/13502-5, 17/18977-1)
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)
MUGNAINE, MICHELE; REIS, ADRIANE S.; BORGES, FERNANDO S.; BORGES, RAFAEL R.; FERRARI, FABIANO A. S.; IAROSZ, KELLY C.; CALDAS, IBERE L.; LAMEU, EWANDSON L.; VIANA, RICARDO L.; SZEZECH, JR., JOSE D.; et al. Delayed feedback control of phase synchronisation in a neuronal network model. European Physical Journal-Special Topics, v. 227, n. 10-11, p. 1151-1160, . (17/18977-1, 15/50122-0, 16/23398-8, 11/19296-1, 17/13502-5, 17/20920-8, 15/07311-7)
LAMEU, E. L.; MACAU, E. E. N.; BORGES, F. S.; IAROSZ, K. C.; CALDAS, I. L.; BORGES, R. R.; PROTACHEVICZ, P. R.; VIANA, R. L.; BATISTA, A. M.. Alterations in brain connectivity due to plasticity and synaptic delay. European Physical Journal-Special Topics, v. 227, n. 5-6, p. 673-682, . (17/18977-1, 15/50122-0, 16/23398-8, 11/19296-1, 17/13502-5, 17/20920-8, 15/07311-7)
FERRARI, F. A. S.; VIANA, R. L.; REIS, A. S.; IAROSZ, K. C.; CALDAS, I. L.; BATISTA, A. M.. A network of networks model to study phase synchronization using structural connection matrix of human brain. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 496, p. 162-170, . (17/20920-8, 15/07311-7, 11/19296-1)
LAMEU, E. L.; YANCHUK, S.; MACAU, E. E. N.; BORGES, F. S.; IAROSZ, K. C.; CALDAS, I. L.; PROTACHEVICZ, P. R.; BORGES, R. R.; VIANA, R. L.; SZEZECH, JR., J. D.; et al. Recurrence quantification analysis for the identification of burst phase synchronisation. Chaos, v. 28, n. 8, . (17/18977-1, 15/50122-0, 16/23398-8, 11/19296-1, 17/13502-5, 17/20920-8, 15/07311-7)
SANTOS, V.; SZEZECH, JR., J. D.; BATISTA, A. M.; IAROSZ, K. C.; BAPTISTA, M. S.; REN, H. P.; GREBOGI, C.; VIANA, R. L.; CALDAS, I. L.; MAISTRENKO, Y. L.; et al. Riddling: Chimera's dilemma. Chaos, v. 28, n. 8, . (15/50122-0, 15/05186-0, 11/19296-1, 17/20920-8, 15/07311-7)
MEDEIROS, EVERTON S.; MEDRANO-T, RENE O.; CALDAS, IBERE L.; FEUDEL, ULRIKE. Boundaries of synchronization in oscillator networks. Physical Review E, v. 98, n. 3, . (15/50122-0, 13/26598-0, 11/19296-1, 17/05521-0)
VISCONDI, THIAGO F.; CALDAS, IBERE L.; MORRISON, PHILIP J.. A method for Hamiltonian truncation: a four-wave example. Journal of Physics A-Mathematical and Theoretical, v. 49, n. 16, . (12/20452-0, 11/19296-1)
OYARZABAL, R. S.; SZEZECH, JR., J. D.; BATISTA, A. M.; DE SOUZA, S. L. T.; CALDAS, I. L.; VIANA, R. L.; SANJUAN, M. A. F.. Transient chaotic transport in dissipative drift motion. Physics Letters A, v. 380, n. 18-19, p. 1621-1626, . (11/19296-1)
DE SOUSA, M. C.; CALDAS, I. L.. Improving particle beam acceleration in plasmas. Physics of Plasmas, v. 25, n. 4, . (15/05186-0, 11/19296-1)
PEREIRA, F. A. C.; HERNANDEZ, W. A.; TOUFEN, D. L.; GUIMARAES-FILHO, Z. O.; CALDAS, I. L.; GENTLE, K. W.. Burst temperature from conditional analysis in Texas Helimak and TCABR tokamak. Physics of Plasmas, v. 25, n. 4, . (14/07043-0, 11/19296-1, 15/50122-0)
HANSEN, MATHEUS; CIRO, DAVID; CALDAS, IBERE L.; LEONEL, EDSON D.. Explaining a changeover from normal to super diffusion in time-dependent billiards. EPL, v. 121, n. 6, . (17/14414-2, 11/19296-1)
DA FONSECA, J. D.; DEL-CASTILLO-NEGRETE, D.; SOKOLOV, I. M.; CALDAS, I. L.. A statistical study of gyro-averaging effects in a reduced model of drift-wave transport. Physics of Plasmas, v. 23, n. 8, . (11/19296-1, 12/10240-6)
BORGES, R. R.; BORGES, F. S.; LAMEU, E. L.; BATISTA, A. M.; IAROSZ, K. C.; CALDAS, I. L.; ANTONOPOULOS, C. G.; BAPTISTA, M. S.. Spike timing-dependent plasticity induces non-trivial topology in the brain. NEURAL NETWORKS, v. 88, p. 58-64, . (15/07311-7, 16/16148-5, 11/19296-1)
FERRO, R. M.; CALDAS, I. L.. Internal transport barriers in plasmas with reversed plasma flow. Physics Letters A, v. 382, n. 15, p. 1014-1019, . (11/19296-1)
DEPETRI, GABRIELA I.; PEREIRA, FELIPE A. C.; MARIN, BORIS; BAPTISTA, MURILO S.; SARTORELLI, J. C.. Dynamics of a parametrically excited simple pendulum. Chaos, v. 28, n. 3, . (11/19296-1, 14/07043-0, 17/04748-0)
ABUD, C. V.; CALDAS, I. L.. On Slater's criterion for the breakup of invariant curves. PHYSICA D-NONLINEAR PHENOMENA, v. 308, p. 34-39, . (13/17989-5, 11/19296-1)
LAMEU, EWANDSON L.; BORGES, FERNANDO S.; LAROSZ, KELLY C.; PROTACHEVICZ, PAULO R.; ANTONOPOULOS, CHRIS G.; MACAU, ELBERT E. N.; BATISTA, ANTONIO M.. Short-term and spike-timing-dependent plasticity facilitate the formation of modular neural networks. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 96, . (15/50122-0, 17/13502-5, 16/23398-8, 15/07311-7, 17/18977-1, 17/20920-8, 20/04624-2, 11/19296-1)
LIVORATI, ANDRE L. P.; CALDAS, IBERE L.; DETTMANN, CARL P.; LEONEL, EDSON D.. Crises in a dissipative bouncing ball model. Physics Letters A, v. 379, n. 43-44, p. 2830-2838, . (14/25316-3, 11/19296-1, 12/23688-5)
DOS SANTOS, VAGNER; SZEZECH, JR., JOSE D.; BAPTISTA, MURILO S.; BATISTA, ANTONIO M.; CALDAS, IBERE L.. Unstable dimension variability structure in the parameter space of coupled Henon maps. Applied Mathematics and Computation, v. 286, p. 23-28, . (11/19296-1)
BARTOLONI, B.; SCHELIN, A. B.; CALDAS, I. L.. Shearless bifurcation on symplectic maps of magnetic field lines in tokamaks with reversed current. Physics Letters A, v. 380, n. 31-32, p. 2416-2421, . (12/18073-1, 11/19296-1)
DEPETRI, G. I.; SARTORELLI, J. C.; MARIN, B.; BAPTISTA, M. S.. Tilted excitation implies odd periodic resonances. Physical Review E, v. 94, n. 1, . (11/19296-1)
MAURO CATTANI; IBERÊ LUIZ CALDAS; SILVIO LUIZ DE SOUZA; KELLY CRISTIANE IAROSZ. Teoria do Caos Determinístico: Conceitos Básicos. Revista Brasileira de Ensino de Física, v. 39, n. 1, . (15/07311-7, 11/19296-1)
ROSALEM, K. C.; ROBERTO, M.; CALDAS, I. L.. Drift-wave transport in the velocity shear layer. Physics of Plasmas, v. 23, n. 7, . (15/16471-8, 11/19296-1)
LIVORATI, ANDRE L. P.; PALMERO, MATHEUS S.; DETTMANN, CARL P.; CALDAS, IBERE L.; LEONEL, EDSON D.. Separation of particles leading either to decay or unlimited growth of energy in a driven stadium-like billiard. Journal of Physics A-Mathematical and Theoretical, v. 47, n. 36, . (12/00556-6, 11/19296-1, 12/23688-5)
BORGES, R. R.; BORGES, F. S.; LAMEU, E. L.; BATISTA, A. M.; IAROSZ, K. C.; CALDAS, I. L.; VIANA, R. L.; SANJUAN, M. A. F.. Effects of the spike timing-dependent plasticity on the synchronisation in a random Hodgkin-Huxley neuronal network. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 34, p. 12-22, . (15/07311-7, 11/19296-1)
SANTOS, MOISES S.; SZEZECH, JR., JOSE D.; BATISTA, ANTONIO M.; IAROSZ, KELLY C.; CALDAS, IBERE L.; VIANA, RICARDO L.. Dragon-kings death in nonlinear wave interactions. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 534, . (15/07311-7, 11/19296-1, 15/50122-0)
FRAILE JUNIOR, ANDRE CARLOS; ROBERTO, MARISA; CALDAS, IBERE LUIZ. Plasma Response to Resonant Perturbations at Tokamak Edge. Brazilian Journal of Physics, v. 48, n. 4, p. 426-432, . (15/16471-8, 11/19296-1)
SANTOS, M. S.; SZEZECH, J. D.; BORGES, F. S.; IAROSZ, K. C.; CALDAS, I. L.; BATISTA, A. M.; VIANA, R. L.; KURTHS, J.. Chimera-like states in a neuronal network model of the cat brain. CHAOS SOLITONS & FRACTALS, v. 101, p. 86-91, . (15/07311-7, 11/50151-0, 11/19296-1, 16/16148-5)
BORGES, F. S.; PROTACHEVICZ, P. R.; LAMEU, E. L.; BONETTI, R. C.; IAROSZ, K. C.; CALDAS, I. L.; BAPTISTA, M. S.; BATISTA, A. M.. Synchronised firing patterns in a random network of adaptive exponential integrate-and-fire neuron model. NEURAL NETWORKS, v. 90, p. 1-7, . (15/07311-7, 11/19296-1, 16/16148-5)
MARCUS, F. A.; ROBERTO, M.; CALDAS, I. L.; ROSALEM, K. C.; ELSKENS, Y.. Influence of the radial electric field on the shearless transport barriers in tokamaks. Physics of Plasmas, v. 26, n. 2, . (15/16471-8, 11/19296-1)
CALDAS, IBERE LUIZ; BARTOLONI, BRUNO F.; CIRO, DAVID; ROBERSON, GERALDO; SCHELIN, ADRIANE B.; KROETZ, TIAGO; ROBERTO, MARISA; VIANA, RICARDO LUIZ; IAROSZ, KELLY CRISTIANE; BATISTA, ANTONIO MARCOS; et al. Symplectic Maps for Diverted Plasmas. IEEE TRANSACTIONS ON PLASMA SCIENCE, v. 46, n. 7, 1, SI, p. 2354-2361, . (15/07311-7, 11/19296-1, 12/18073-1)
CIRO, DAVID; CALDAS, IBERE L.; VIANA, RICARDO L.; EVANS, TODD E.. Efficient manifolds tracing for planar maps. Chaos, v. 28, n. 9, . (11/19296-1, 12/18073-1)
BORGES, RAFAEL R.; BORGES, FERNANDO S.; LAMEU, EWANDSON L.; PROTACHEVICZ, PAULO R.; IAROSZ, KELLY C.; CALDAS, IBERE L.; VIANA, RICARDO L.; MACAU, ELBERT E. N.; BAPTISTA, MURILO S.; GREBOGI, CELSO; et al. Synaptic Plasticity and Spike Synchronisation in Neuronal Networks. Brazilian Journal of Physics, v. 47, n. 6, p. 678-688, . (15/50122-0, 16/16148-5, 16/23398-8, 11/19296-1, 15/07311-7)
BORGES, F. S.; LAMEU, E. L.; IAROSZ, K. C.; PROTACHEVICZ, P. R.; CALDAS, I. L.; VIANA, R. L.; MACAU, E. E. N.; BATISTA, A. M.; BAPTISTA, M. S.. Inference of topology and the nature of synapses, and the flow of information in neuronal networks. Physical Review E, v. 97, n. 2, . (15/50122-0, 16/16148-5, 16/23398-8, 11/19296-1, 15/07311-7)
MATHIAS, A. C.; KROETZ, T.; CALDAS, I. L.; VIANA, R. L.. Chaotic magnetic field lines and fractal structures in a tokamak with magnetic limiter. CHAOS SOLITONS & FRACTALS, v. 104, p. 588-598, . (11/19296-1)
EVARISTO, RONALDO M.; BATISTA, ANTONIO M.; VIANA, RICARDO L.; IAROSZ, KELLY C.; SZEZECH, JR., JOSE D.; DE GODOY, MOACIR F.. Mathematical model with autoregressive process for electrocardiogram signals. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 57, p. 415-421, . (15/07311-7, 11/19296-1, 16/16148-5)
NOGUEIRA, T. N.; PEREIRA, F. A. C.; PROCOPIO, J.; SARTORELLI, J. C.. Dripping faucet dynamics in a nonuniform electric field. Chaos, v. 28, n. 11, . (11/19296-1, 14/07043-0)
TOUFEN, D. L.; PEREIRA, F. A. C.; GUIMARAES-FILHO, Z. O.; CALDAS, I. L.; GENTLE, K. W.. Electrostatic turbulence intermittence driven by biasing in Texas Helimak. Physics of Plasmas, v. 21, n. 12, . (12/22108-5, 11/19296-1)
CIRO, D.; CALDAS, I. L.. Magnetic topology and current channels in plasmas with toroidal current density inversions. Physics of Plasmas, v. 20, n. 10, . (12/18073-1, 11/19296-1)
KROETZ, TIAGO; LIVORATI, ANDRE L. P.; LEONEL, EDSON D.; CALDAS, IBERE L.. Global ballistic acceleration in a bouncing-ball model. Physical Review E, v. 92, n. 1, . (14/25316-3, 11/19296-1, 12/23688-5)
ABUD, C. V.; CALDAS, I. L.. Impact of punctual flat magnetic shear on the field line transport. Physics of Plasmas, v. 22, n. 6, . (11/19296-1, 13/17989-5)
MEDEIROS, EVERTON S.; CALDAS, IBERE L.; BAPTISTA, MURILO S.; FEUDEL, ULRIKE. Trapping Phenomenon Attenuates the Consequences of Tipping Points for Limit Cycles. SCIENTIFIC REPORTS, v. 7, . (13/26598-0, 11/19296-1, 15/20407-3)
ROBERSON, GERALDO; ROBERTO, MARISA; CALDAS, IBERE LUIZ; KROETZ, TIAGO; VIANA, RICARDO LUIZ. Shaping Diverted Plasmas With Symplectic Maps. IEEE TRANSACTIONS ON PLASMA SCIENCE, v. 45, n. 3, p. 356-363, . (15/16471-8, 11/19296-1)
ROSALEM, K. C.; ROBERTO, M.; CALDAS, I. L.. Influence of the electric and magnetic shears on tokamak transport. NUCLEAR FUSION, v. 54, n. 6, . (11/19296-1, 13/03401-6)
PEREIRA, F. A. C.; TOUFEN, D. L.; GUIMARAES-FILHO, Z. O.; CALDAS, I. L.; GENTLE, K. W.. Burst propagation in Texas Helimak. Plasma Physics and Controlled Fusion, v. 58, n. 5, SI, . (14/07043-0, 12/22108-5, 11/19296-1)
LAMEU, EWANDSON L.; BORGES, FERNANDO S.; BORGES, RAFAEL R.; IAROSZ, KELLY C.; CALDAS, IBERE L.; BATISTA, ANTONIO M.; VIANA, RICARDO L.; KURTHS, JUERGEN. Suppression of phase synchronisation in network based on cat's brain. Chaos, v. 26, n. 4, . (15/07311-7, 11/50151-0, 11/19296-1)
LIVORATI, ANDRE L. P.; DETTMANN, CARL P.; CALDAS, IBERE L.; LEONEL, EDSON D.. On the statistical and transport properties of a non-dissipative Fermi-Ulam model. Chaos, v. 25, n. 10, . (14/25316-3, 11/19296-1, 12/23688-5)
DE SOUSA, M. C.; CALDAS, I. L.; OZORIO DE ALMEIDA, A. M.; RIZZATO, F. B.; PAKTER, R.. Alternate islands of multiple isochronous chains in wave-particle interactions. Physical Review E, v. 88, n. 6, . (11/20794-6, 11/19296-1)
VISCONDI, THIAGO F.; CALDAS, IBERE L.; MORRISON, PHILIP J.. Beatification: Flattening the Poisson bracket for two-dimensional fluid and plasma theories. Physics of Plasmas, v. 24, n. 3, . (12/20452-0, 11/19296-1)
SANTOS, M. S.; SZEZECH, JR., J. D.; BATISTA, A. M.; CALDAS, I. L.; VIANA, R. L.; LOPES, S. R.. Recurrence quantification analysis of chimera states. Physics Letters A, v. 379, n. 37, p. 2188-2192, . (11/19296-1)
HANSEN, MATHEUS; DA COSTA, DIOGO RICARDO; CALDAS, IBERE L.; LEONEL, EDSON D.. Statistical properties for an open oval billiard: An investigation of the escaping basins. CHAOS SOLITONS & FRACTALS, v. 106, p. 355-362, . (17/14414-2, 11/19296-1, 12/23688-5, 13/22764-2, 14/00334-9)

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