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Controlling hyperchaos in the new hyperchaotic Chen system. (English) Zbl 1160.93384
Summary: We investigate the new hyperchaotic Chen system, which was present recently by introducing a feedback controller to the Chen system. The linear, speed, nonlinear doubly-periodic function and nonlinear hyperbolic function feedback controls are used to suppress hyperchaos to unstable equilibrium. The Routh-Hurwitz theorem is used to derive the conditions of stability of controlled hyperchaotic Chen systems. Moreover numerical simulations are used to verify the effectiveness of the proposed controllers.

MSC:
93D15 Stabilization of systems by feedback
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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