Complex modified projective synchronization of two chaotic complex nonlinear systems

In this paper, we present a novel type of synchronization called complex modified projective synchronization (CMPS) and study it to a system of two chaotic complex nonlinear 3-dimensional flows, possessing chaotic attractors. Based on the Lyapunov function approach, a scheme is designed to achieve C...

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Bibliographic Details
Published in:Nonlinear dynamics 2013-09, Vol.73 (4), p.2231-2240
Main Authors: Mahmoud, Gamal M., Mahmoud, Emad E.
Format: Article
Language:English
Subjects:
Automotive Engineering
Chaos theory
Chemical-mechanical polishing
Classical Mechanics
Complex systems
Control
Dynamical Systems
Engineering
Liapunov functions
Mathematical analysis
Mechanical Engineering
Nonlinear dynamics
Nonlinear systems
Original Paper
Synchronism
Synchronization
Three dimensional flow
Vibration
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Summary:In this paper, we present a novel type of synchronization called complex modified projective synchronization (CMPS) and study it to a system of two chaotic complex nonlinear 3-dimensional flows, possessing chaotic attractors. Based on the Lyapunov function approach, a scheme is designed to achieve CMPS for such pairs of (either identical or different) complex systems. Analytical expressions for the complex control functions are derived using this scheme to achieve CMPS. This type of complex synchronization is considered as a generalization of several kinds of synchronization that have appeared in the recent literature. The master and slave chaotic complex systems achieved CMPS can be synchronized through the use of a complex scale matrix. The effectiveness of the obtained results is illustrated by a studying two examples of such coupled chaotic attractors in the complex domain. Numerical results are plotted to show the rapid convergence of modulus errors to zero, thus demonstrating that CMPS is efficiently achieved.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-013-0937-1