| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 767143 | Communications in Nonlinear Science and Numerical Simulation | 2012 | 13 Pages |
In this present paper, we elaborated the concept of 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 projection of a fourth-order chaotic system even though their parameters are unknown. The techniques are successfully applied to several examples: hyperchaotic Chen system (fourth-order) and Lü system (third-order), theoretical analysis and numerical simulations are shown to verify the results.
► Reduced-order anti-synchronization of uncertain chaotic systems. ► Adaptive control scheme is developed. ► Analytic expression of the controller with its adaptive laws of parameters is shown. ► Two examples are given to show the effectiveness of the proposed method.
