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1. ANTISYNCHRONIZATION OF IDENTICAL AND NONIDENTICAL Φ6 VAN DER POL AND Φ6 DUFFING OSCILLATORS WITH BOTH PARAMETRIC AND EXTERNAL EXCITATIONS VIA BACKSTEPPING APPROACH.

Author

OJO, K. S., NJAH, A. N., and ADEBAYO, G. A.

Subjects
*SYNCHRONIZATION, *RECURSION theory, *COMPUTER simulation, *VAN der Pol oscillators (Physics), *NUMERICAL analysis, *DUFFING equations, *NONLINEAR systems, *ALGORITHMS
Abstract

This paper investigates antisynchronization of identical and nonidentical Φ6 Van der Pol oscillators (VDPOs) and Φ6 Duffing oscillators (DOs) with both parametric and external excitations based on adaptive backstepping technique. The technique is applied to achieve complete antisynchronization between identical Φ6 (VDPOs), identical Φ6 (DOs), and nonidentical Φ6 oscillators comprising the Φ6 (VDPO) and Φ6 (DO). Numerical simulations are implemented to verify the feasibility and effectiveness of the antisynchronization technique. [ABSTRACT FROM AUTHOR]

Published
2011
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2. ANTICIPATED FUNCTION SYNCHRONIZATION WITH UNKNOWN PARAMETERS OF DISCRETE-TIME CHAOTIC SYSTEMS.

Author

LI, YIN, LI, BIAO, and CHEN, YONG

Subjects
*SYNCHRONIZATION, *DISCRETE-time systems, *COMPUTER simulation, *SIMULATION methods & models, *MATHEMATICAL models, *NUMERICAL analysis
Abstract

In this paper, firstly, the control problem for the chaos synchronization of discrete-time chaotic (hyperchaotic) systems with unknown parameters are considered. Next, backstepping control law is derived to make the error signals between drive 2D discrete-time chaotic system and response 2D discrete-time chaotic system with two uncertain parameters asymptotically synchronized. Finally, the approach is extended to the synchronization problem for 3D discrete-time chaotic system with two unknown parameters. Numerical simulations are presented to show the effectiveness of the proposed chaos synchronization scheme. [ABSTRACT FROM AUTHOR]

Published
2009
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