Advanced search
Start date
Betweenand

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 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 ; Elbert Einstein Nehrer Macau ; Zwinglio de Oliveira Guimarães Filho
Associated grant(s):19/06790-0 - Vulnerability of syncrhonized states in real time, AV.EXT
Associated scholarship(s):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

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 (7)
(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)
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. Web of Science Citations: 0.
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 OCT 7 2019. Web of Science Citations: 0.
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.
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. Web of Science Citations: 2.
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. Web of Science Citations: 0.
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.; ANTONOPOULOS, CHRIS G.; BATISTA, ANTONIO M.; KURTHSW, JUERGEN. Bistable Firing Pattern in a Neural Network Model. FRONTIERS IN COMPUTATIONAL NEUROSCIENCE, v. 13, APR 5 2019. Web of Science Citations: 1.
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 APR 2019. Web of Science Citations: 0.

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