Controlling Chaos using Differential Geometric Method
- 16 October 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 75 (16) , 2952-2955
- https://doi.org/10.1103/physrevlett.75.2952
Abstract
We present an effective approach for controlling chaos by using a differential geometric method. It has been shown that the proposed method can control chaotic motion not only to a steady state but also to any desired periodic orbit. The main characteristic of the method is to algebraically transform a nonlinear dynamics into a linear one, so that linear control techniques can be applied. To demonstrate the feasibility of our proposed method, a Lorenz system under different designed requirements is illustrated.Keywords
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