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Nonlinear dynamics

Grant number: 11/19296-1
Support type:Research Projects - Thematic Grants
Duration: August 01, 2012 - July 31, 2018
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal Investigator:Iberê Luiz Caldas
Grantee:Iberê Luiz Caldas
Home Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Co-Principal Investigators:Jose Carlos Sartorelli
Assoc. researchers:Dennis Lozano Toufen ; Zwinglio de Oliveira Guimarães Filho
Associated grant(s):14/50794-6 - Control of instabilities by Alfvén waves and resonant magnetic perturbations in magnetized plasmas, AP.R
13/23713-2 - Particle transport and turbulence in tokamaks, AV.EXT
Associated scholarship(s):18/03000-5 - Chaotic transport in Symplectic Maps: applications in plasma, BP.DR
13/17989-5 - Nontwist phenomena in multi-dimensional Hamiltonian Systems, BP.PD
12/20452-0 - Development of a Hamiltonian formulation for the anomalous particle transport in confined plasmas, BP.PD
+ associated scholarships 12/22108-5 - Plasma turbulence control, BE.PQ
12/18073-1 - Symplectic transport in fusion diverted plasmas, BP.DR
12/10240-6 - Particle transport in magnetically confined plasmas, BP.DR - associated scholarships

Abstract

We apply basic theories of chaos and turbulence to investigate and control 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, and mechanical systems. (AU)

Scientific publications (56)
(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)
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. Web of Science Citations: 0.
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 FEB 2019. Web of Science Citations: 0.
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, DEC 2018. Web of Science Citations: 2.
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, NOV 1 2018. Web of Science Citations: 0.
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.; KURTHS, JUERGEN; BATISTA, ANTONIO M. Delayed feedback control of phase synchronisation in a neuronal network model. European Physical Journal-Special Topics, v. 227, n. 10-11, p. 1151-1160, NOV 2018. Web of Science Citations: 2.
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 NOV 2018. Web of Science Citations: 0.
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 SEP 4 2018. Web of Science Citations: 1.
CIRO, DAVID; CALDAS, IBERE L.; VIANA, RICARDO L.; EVANS, TODD E. Efficient manifolds tracing for planar maps. Chaos, v. 28, n. 9 SEP 2018. Web of Science Citations: 0.
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, SI, p. 673-682, SEP 2018. Web of Science Citations: 1.
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, AUG 2018. Web of Science Citations: 0.
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.; BATISTA, A. M.; KURTHS, J. Recurrence quantification analysis for the identification of burst phase synchronisation. Chaos, v. 28, n. 8 AUG 2018. Web of Science Citations: 3.
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.; KURTHS, J. Riddling: Chimera's dilemma. Chaos, v. 28, n. 8 AUG 2018. Web of Science Citations: 2.
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; MORRISON, PHILIP J. Symplectic Maps for Diverted Plasmas. IEEE TRANSACTIONS ON PLASMA SCIENCE, v. 46, n. 7, 1, SI, p. 2354-2361, JUL 2018. Web of Science Citations: 0.
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.; FERRARI, F. A. S.; KURTHS, I; BATISTA, A. M.; LO, C-Y; HE, Y.; LIN, C-P. Synchronous behaviour in network model based on human cortico-cortical connections. Physiological Measurement, v. 39, n. 7 JUL 2018. Web of Science Citations: 3.
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, APR 19 2018. Web of Science Citations: 1.
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, APR 15 2018. Web of Science Citations: 8.
DE SOUSA, M. C.; CALDAS, I. L. Improving particle beam acceleration in plasmas. Physics of Plasmas, v. 25, n. 4 APR 2018. Web of Science Citations: 0.
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, APR 2018. Web of Science Citations: 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 APR 2018. Web of Science Citations: 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 MAR 2018. Web of Science Citations: 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 MAR 2018. Web of Science Citations: 0.
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, FEB 15 2018. Web of Science Citations: 0.
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 FEB 7 2018. Web of Science Citations: 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, JAN 2018. Web of Science Citations: 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; BATISTA, ANTONIO M. Synaptic Plasticity and Spike Synchronisation in Neuronal Networks. Brazilian Journal of Physics, v. 47, n. 6, p. 678-688, DEC 2017. Web of Science Citations: 2.
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, NOV 2017. Web of Science Citations: 2.
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, NOV 2017. Web of Science Citations: 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, AUG 2017. Web of Science Citations: 19.
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, JUN 2017. Web of Science Citations: 8.
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, JUN 2017. Web of Science Citations: 0.
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, APR 2017. Web of Science Citations: 8.
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, MAR 2017. Web of Science Citations: 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 MAR 2017. Web of Science Citations: 1.
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, FEB 9 2017. Web of Science Citations: 10.
MAURO CATTANI; IBERÊ LUIZ CALDAS; SILVIO LUIZ DE SOUZA; KELLY CRISTIANE IAROSZ. Deterministic Chaos Theory: Basic Concepts. Revista Brasileira de Ensino de Física, v. 39, n. 1 2017.
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, AUG 5 2016. Web of Science Citations: 2.
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 AUG 2016. Web of Science Citations: 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, JUL 15 2016. Web of Science Citations: 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 JUL 5 2016. Web of Science Citations: 1.
ROSALEM, K. C.; ROBERTO, M.; CALDAS, I. L. Drift-wave transport in the velocity shear layer. Physics of Plasmas, v. 23, n. 7 JUL 2016. Web of Science Citations: 0.
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, MAY 2016. Web of Science Citations: 16.
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 MAY 2016. Web of Science Citations: 2.
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, APR 22 2016. Web of Science Citations: 3.
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 APR 22 2016. Web of Science Citations: 5.
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 APR 2016. Web of Science Citations: 10.
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, NOV 6 2015. Web of Science Citations: 10.
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, OCT 2 2015. Web of Science Citations: 14.
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 OCT 2015. Web of Science Citations: 7.
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, JUL 15 2015. Web of Science Citations: 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 JUL 6 2015. Web of Science Citations: 8.
ABUD, C. V.; CALDAS, I. L. Impact of punctual flat magnetic shear on the field line transport. Physics of Plasmas, v. 22, n. 6 JUN 2015. Web of Science Citations: 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 DEC 2014. Web of Science Citations: 6.
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 SEP 12 2014. Web of Science Citations: 5.
ROSALEM, K. C.; ROBERTO, M.; CALDAS, I. L. Influence of the electric and magnetic shears on tokamak transport. NUCLEAR FUSION, v. 54, n. 6 JUN 2014. Web of Science Citations: 3.
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 DEC 31 2013. Web of Science Citations: 5.
CIRO, D.; CALDAS, I. L. Magnetic topology and current channels in plasmas with toroidal current density inversions. Physics of Plasmas, v. 20, n. 10 OCT 2013. Web of Science Citations: 2.

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