Chaos in magnetized relativistic systems: regular acceleration and control of chaos

• Grant number: 11/20794-6
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
• Effective date (Start): February 01, 2012
• Effective date (End): July 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Physics - Classical Areas of Phenomenology and Applications
• Principal Investigator: Iberê Luiz Caldas
• Grantee: Meirielen Caetano de Sousa
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated scholarship(s): 13/01335-6 - Controlling chaos in Wave-Particle interactions, BE.EP.DD

Abstract

The objective of this project is to study the behavior of a relativistic particle moving under the influence of a uniform magnetic field and an electrostatic wave. The properties of the system will be studied as a function of the parameters of the electrostatic wave and among these properties we point out the perturbation level from which the system becomes chaotic, how the transition to chaos occurs and the possibility of accelerating the particle coherently from initial low energies. Besides the study of such properties, we will analyze how the creation of a robust torus in the phase space of the system affects the regular acceleration of the particle. We also intend to apply two methods of control of chaos to reduce the chaotic regions in the phase space of the system. The efficiency of the two methods of control will be compared and to conclude, we will study how they influence the process of regular acceleration of the particle. (AU)

Scientific publications

(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)

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. (15/05186-0, 13/01335-6, 11/20794-6, 18/03211-6)

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. (11/19296-1, 11/20794-6)

DE SOUSA, M. C.; DOVEIL, F.; ELSKENS, Y.; CALDAS, I. L.; IEEE. An Upgraded 4 Meters Long Traveling Wave Tube for Plasma Physics Research. IVEC 2021: 2021 22ND INTERNATIONAL VACUUM ELECTRONICS CONFERENCE, v. N/A, p. 2-pg., 2021-01-01. (18/03211-6, 11/20794-6, 13/01335-6, 15/05186-0)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

SOUSA, Meirielen Caetano de. Wave-particle interaction: Resonances, regular acceleration and control of chaos. 2015. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Física (IF/SBI) São Paulo.