Design of coupling for synchronization in chaotic maps

We present a design of coupling to achieve targeted synchronization in two parameter mismatched chaotic discrete dynamical systems. The coupling design is of open-plus-closed-loop type for which a suitable stability criterion is derived. Numerically the proposed coupling design is illustrated using...

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Bibliographic Details
Published in:Nonlinear dynamics 2015-03, Vol.79 (4), p.2279-2286
Main Authors: Pal, Pinaki, Debroy, Sanghamitra, Mandal, Mrinal Kanti, Banerjee, Ranjib
Format: Article
Language:English
Subjects:
Automotive Engineering
Chaos theory
Classical Mechanics
Control
Coupling
Dynamical Systems
Engineering
Mechanical Engineering
Original Paper
Stability criteria
Synchronism
Vibration
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Summary:We present a design of coupling to achieve targeted synchronization in two parameter mismatched chaotic discrete dynamical systems. The coupling design is of open-plus-closed-loop type for which a suitable stability criterion is derived. Numerically the proposed coupling design is illustrated using the 1D logistic map, 2D and 3D Henon maps. Experimental realization of the targeted coherent dynamics is presented using 1D logistic map.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-014-1810-6