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Function projective synchronization of different chaotic systems with uncertain parameters. (English) Zbl 1223.34077
Summary: This Letter investigates the function projective synchronization of different chaotic systems with unknown parameters. By Lyapunov stability theory, the adaptive control law and the parameter update law are derived to make the states of two different chaotic systems asymptotically synchronized up to a desired scaling function. Numerical simulations on Lorenz system and Newton-Leipnik system are presented to verify the effectiveness of the proposed scheme.
MSC:
34D06Synchronization
34C28Complex behavior, chaotic systems (ODE)
34H10Chaos control (ODE)
34D08Characteristic and Lyapunov exponents
93C40Adaptive control systems