Abstract
This paper investigates the analysis, control and synchronization of the hyperchaotic Zhou system (2009) via adaptive control. First, an adaptive control scheme is derived to stabilize the hyperchaotic Zhou system with unknown parameters to its unstable equilibrium at the origin. Then an adaptive synchronization scheme is derived to achieve global chaos synchronization of the identical hyperchaotic Zhou systems with unknown parameters. The results derived for adaptive stabilization and synchronization for the hyperchaotic system are established using the Lyapunov stability theory. Numerical simulations are shown to demonstrate the effectiveness of the adaptive control and synchronization schemes derived in this paper.KeywordsAdaptive controlhyperchaossynchronizationhyperchaotic Zhou system
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