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Bifurcation analysis and linear control of the Newton–Leipnik system. (English) Zbl 1091.93031

Summary: We study a sort of chaotic system – Newton-Leipnik system which possesses two strange attractors. The static and dynamic bifurcations of the system are studied. The chaos controlling is performed by a simpler linear controller, and numerical simulation of the control is supplied. At the same time, Lyapunov exponents of the system show that the result of the chaos controlling is right.

MSC:

93D15 Stabilization of systems by feedback
34C23 Bifurcation theory for ordinary differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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