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A new strategy of chaos control and a unified mechanism for several kinds of chaos control methods

A new strategy of chaos control and a unified mechanism for several kinds of chaos control methods Based on a general principle of physics that a physical system is in the most stable state if it is of the lowest energy state, a new method for chaos control is proposed. A calculable generalized energy function in a nonlinear system is suggested for measuring control process. The Henon map and Lorenz system are taken as two typical examples to demonstrate the method. A series of stabilized periodic orbits as well as inverse sequence of chaotic bands are obtained. At the same time, a unified mechanism of physics for several kinds of current chaos control methods is studied using the idea proposed in this paper. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Physica Sinica (Overseas Edition) IOP Publishing

A new strategy of chaos control and a unified mechanism for several kinds of chaos control methods

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Copyright
Copyright © IOP Publishing Ltd
ISSN
1004-423X
DOI
10.1088/1004-423X/8/12/003
Publisher site
See Article on Publisher Site

Abstract

Based on a general principle of physics that a physical system is in the most stable state if it is of the lowest energy state, a new method for chaos control is proposed. A calculable generalized energy function in a nonlinear system is suggested for measuring control process. The Henon map and Lorenz system are taken as two typical examples to demonstrate the method. A series of stabilized periodic orbits as well as inverse sequence of chaotic bands are obtained. At the same time, a unified mechanism of physics for several kinds of current chaos control methods is studied using the idea proposed in this paper.

Journal

Acta Physica Sinica (Overseas Edition)IOP Publishing

Published: Dec 1, 1999

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