Feedback control of bursting and multistability in chaotic systems

Year: 2012

Authors: Geltrude A., Al-Naimee K., Euzzor S., Meucci R., Arecchi F.T., Goswami BK.

Autors Affiliation: Istituto Nazionale di Ottica – CNR, Largo E. Fermi 6, 50125 Firenze, Italy;
Physics Department, College of Science, University of Baghdad, Baghdad, Iraq;
Dipartimento di Fisica, Università di Firenze, 50019 Sesto Fiorentino, Italy;
Laser and Plasma Technology Division, Bhabha Atomic Research Centre, Mumbai, India

Abstract: With a modulated CO2 laser as a standard model of periodically driven multistable systems. we experimentally demonstrate that a small-amplitude optoelectronic feedback perturbation can efficiently transform a bursting chaotic system to a nonchaotic one. Numerical simulations are in excellent agreement with the experimental results. The control has also been equally effective in the case of a driven FitzHugh-Nagumo model of Neuroscience. (C) 2011 Elsevier B.V. All rights reserved.

Journal/Review: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

Volume: 17 (7)      Pages from: 3031  to: 3039

More Information: The Authors acknowledge \”Ente Cassa di Risparmio\” of Firenze for partial support. K.A.N. acknowledges TRIL – ICTP for granting.
KeyWords: Bursting; FitzHugh-Nagumo model; Multistability; Multistable systems; Optoelectronic feedback; Standard model, Carbon dioxide; Chaos theory; Control, Chaotic systems
DOI: 10.1016/j.cnsns.2011.11.007

Citations: 18
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