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Bifurcations and control of chaos in wave-particle interactions

Grant number: 15/05186-0
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): December 01, 2015
Effective date (End): September 30, 2020
Field of knowledge:Physical Sciences and Mathematics - Physics - Classical Areas of Phenomenology and Applications
Principal researcher:Iberê Luiz Caldas
Grantee:Meirielen Caetano de Sousa
Home Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:18/03211-6 - Non linear dynamics, AP.TEM
Associated scholarship(s):19/23366-7 - Electron acceleration by surface plasma waves, BE.EP.PD


We consider the interaction between charged particles and electrostatic waves, and we study the regular particle acceleration that occurs in the resonant islands. Regular particle acceleration is strongly influenced by the presence of chaos in phase space, which destroys regular trajectories. In this project, we investigate new methods that are able to control chaos with a low energy cost, as part of an ongoing collaboration with the Federal University of Rio Grande do Sul. For low density beams, we analyze methods that act locally in phase space, since they may be more efficient when they require less energy to be implemented. In the case of high density beams, we use methods that are able to control chaos in the dynamics of the beam envelope. This project also aims to strengthen the collaboration between the Universities of São Paulo and Aix-Marseille, France. Through this collaboration, we analyze the dynamics of electron beams for a better understanding of wave-particle interactions, including the validation of numerical codes and analytical models, and the development of new and robust models to describe self-consistent effects. Besides controlling chaos and self-consistent effects, we analyze the perturbations that act on the system and their superposition in order to determine how the parameters change the configuration of phase space, specially the quantity and the position of the island chains in which the particles are accelerated. We also consider the successive isochronous bifurcations that alter the number of island chains and play a key hole in the dynamics of the system.

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Scientific publications (5)
(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)
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 AUG 2021. Web of Science Citations: 0.
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 SEP 2020. Web of Science Citations: 0.
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.
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.
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.

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