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Coherent motion of chaotic attractors

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Autor(es):
Louodop, Patrick ; Saha, Suman ; Tchitnga, Robert ; Muruganandam, Paulsamy ; Dana, Syamal K. ; Cerdeira, Hilda A.
Número total de Autores: 6
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW E; v. 96, n. 4, p. 9-pg., 2017-10-18.
Resumo

We report a simple model of two drive-response-type coupled chaotic oscillators, where the response system copies the nonlinearity of the driver system. It leads to a coherent motion of the trajectories of the coupled systems that establishes a constant separating distance in time between the driver and the response attractors, and their distance depends upon the initial state. The coupled system responds to external obstacles, modeled by short-duration pulses acting either on the driver or the response system, by a coherent shifting of the distance, and it is able to readjust their distance as and when necessary via mutual exchange of feedback information. We confirm these behaviors with examples of a jerk system, the paradigmatic Rossler system, a tunnel diode system and a Josephson junction-based jerk system, analytically, to an extent, and mostly numerically. (AU)

Processo FAPESP: 11/11973-4 - ICTP Instituto Sul-Americano para Pesquisa Fundamental: um centro regional para física teórica
Beneficiário:Nathan Jacob Berkovits
Modalidade de apoio: Auxílio à Pesquisa - Temático
Processo FAPESP: 14/13272-1 - Sincronização de sistemas caóticos em tempo finito e aplicações
Beneficiário:Patrick Herve Louodop Fotso
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado