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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Coherent motion of chaotic attractors

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Author(s):
Louodop, Patrick [1, 2] ; Saha, Suman [3, 4] ; Tchitnga, Robert [2, 5] ; Muruganandam, Paulsamy [6] ; Dana, Syamal K. [7, 8] ; Cerdeira, Hilda A. [1]
Total Authors: 6
Affiliation:
[1] Sao Paulo State Univ UNESP, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, Bloco 2, BR-01140070 Barra Funda, SP - Brazil
[2] Univ Dschang, Dept Phys, Fac Sci, Lab Elect & Signal Proc, POB 67, Dschang - Cameroon
[3] Dumkal Inst Engn & Technol, Murshidabad 742406 - India
[4] Jadavpur Univ, Dept Instrumentat & Elect Engn, Kolkata 700090 - India
[5] Univ Ulm, Inst Surface Chem & Catalysis, Albert Einstein Allee 47, D-89081 Ulm - Germany
[6] Bharathidasan Univ, Dept Phys, Tiruchchirappalli 620024, Tamil Nadu - India
[7] Jadavpur Univ, Dept Math, Kolkata 700032 - India
[8] Ctr Complex Syst Res Kolkata, Kolkata 700094 - India
Total Affiliations: 8
Document type: Journal article
Source: Physical Review E; v. 96, n. 4 OCT 18 2017.
Web of Science Citations: 0
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: 14/13272-1 - Finite time synchronization of chaotic systems and applications
Grantee:Patrick Herve Louodop Fotso
Support type: Scholarships in Brazil - Post-Doctorate
FAPESP's process: 11/11973-4 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
Grantee:Nathan Jacob Berkovits
Support type: Research Projects - Thematic Grants