Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
759361 | Communications in Nonlinear Science and Numerical Simulation | 2010 | 13 Pages |
Abstract
In this paper, we investigate the reduced-order anti-synchronization of uncertain chaotic systems. Based upon the parameters modulation and the adaptive control techniques, we show that dynamical evolution of third-order chaotic system can be anti-synchronized with the canonical projection of a fourth-order chaotic system even though their parameters are unknown. The techniques are successfully applied to two examples: hyperchaotic Lorenz system (fourth-order) and Lorenz system (third-order); Lü hyperchaotic system (fourth-order) and Chen system (third-order). Theoretical analysis and numerical simulations are shown to verify the results.
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Authors
M. Mossa Al-sawalha, M.S.M. Noorani,