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Coherent motion of chaotic attractors

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Author(s):
Louodop, Patrick ; Saha, Suman ; Tchitnga, Robert ; Muruganandam, Paulsamy ; Dana, Syamal K. ; Cerdeira, Hilda A.
Total Authors: 6
Document type: Journal article
Source: PHYSICAL REVIEW E; v. 96, n. 4, p. 9-pg., 2017-10-18.
Abstract

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)

FAPESP's process: 11/11973-4 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
Grantee:Nathan Jacob Berkovits
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 14/13272-1 - Finite time synchronization of chaotic systems and applications
Grantee:Patrick Herve Louodop Fotso
Support Opportunities: Scholarships in Brazil - Post-Doctoral