Controlling hyperchaos of the Rössler system. (English) Zbl 0989.93069

The control of chaos is an intensively studied topic by scientists. The authors are deeply involved in this research subject. The main purpose of the paper is to present a new design for controlling the hyperchaos that appears in the Rössler system. The paper is organized as follows. The Introduction contains several historical results and approaches. In the second section, “Design of the controller”, the authors present the development of the method by adding two inputs to the system for the control where each of the inputs contains two portions of feedback. One of the feedback parts is to construct an equilibrium manifold by modifying the dynamics of the system and the other one is the proportional feedback part that controls the hyperchaotic state to desired states on the manifold. Section 3, “Numerical experiments and discussions”, proves that the hyperchaotic system can be well tracked to the desired state by the present design through the numerical results.


93D15 Stabilization of systems by feedback
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
93C10 Nonlinear systems in control theory
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