Hyperchaos generated from the Lorenz chaotic system and its control. (English) Zbl 1203.93086

Jia, Qiang

Phys. Lett., A 366, No. 3, 217-222 (2007).

Summary: A hyperchaotic Lorenz system is constructed via state feedback control. Abundant dynamics of the hyperchaotic system is studied using the Lyapunov exponents, Poincaré section and bifurcation diagram. Furthermore, effective linear feedback controllers are designed for stabilizing hyperchaos to unstable equilibrium, periodic orbits and quasi-periodic orbit. Numerical simulations are given to illustrate and verify the results.

MSC:

93B52	Feedback control
93C05	Linear systems in control theory
37D45	Strange attractors, chaotic dynamics of systems with hyperbolic behavior
34H10	Chaos control for problems involving ordinary differential equations

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