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Adaptive modified function projective synchronization of unknown chaotic systems with different order. (English) Zbl 1246.65243
Summary: This paper investigates the modified function projective synchronization (MFPS) between two different dimensional chaotic systems with fully unknown or partially unknown parameters via increased order. Based on the Lyapunov stability theorem and adaptive control method, a unified adaptive controller and parameters update law can be designed for achieving the MFPS of the two different chaotic systems with different orders. Numerical simulations are presented to show the effectiveness of the proposed synchronization scheme.
MSC:
65P20Numerical chaos
65L05Initial value problems for ODE (numerical methods)
37D45Strange attractors, chaotic dynamics
65L20Stability and convergence of numerical methods for ODE
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