Targeting engineering synchronization in chaotic systems

Sourav K. Bhowmick and Dibakar Ghosh
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Sourav K. Bhowmick: Department of Electronics, Asutosh College, Kolkata 700026, India
Dibakar Ghosh: Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700108, India

International Journal of Modern Physics C (IJMPC), 2016, vol. 27, issue 01, 1-15

Abstract: A method of targeting engineering synchronization states in two identical and mismatch chaotic systems is explained in detail. The method is proposed using linear feedback controller coupling for engineering synchronization such as mixed synchronization, linear and nonlinear generalized synchronization and targeting fixed point. The general form of coupling design to target any desire synchronization state under unidirectional coupling with the help of Lyapunov function stability theory is derived analytically. A scaling factor is introduced in the coupling definition to smooth control without any loss of synchrony. Numerical results are done on two mismatch Lorenz systems and two identical Sprott oscillators.

Keywords: Engineering synchronization; mixed synchronization; generalized synchronization; linear feedback controller coupling (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S0129183116500066

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