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Adaptive function project synchronization of Rössler hyperchaotic system with uncertain parameters. (English) Zbl 1220.37025
Summary: This Letter addresses the function project synchronization problem of two Rössler hyperchaotic in the presence of unknown system parameters. Based on Lyapunov stability theory an adaptive control law is proposed to make the states of two identical Rössler hyperchaotic systems asymptotically synchronized. Numerical simulations are presented to show the effectiveness of the proposed schemes.
MSC:
37D45Strange attractors, chaotic dynamics
34D06Synchronization
34D08Characteristic and Lyapunov exponents
37B25Lyapunov functions and stability; attractors, repellers
93C40Adaptive control systems
93D05Lyapunov and other classical stabilities of control systems