Cite this article:
LUO XIAO-SHU, FANG JIN-QING, WANG LI-HU, KONG LING-JIANG, JIANG FENG. A NEW STRATEGY OF CHAOS CONTROL AND A UNIFIED MECHANISM FOR SEVERAL KINDS OF CHAOS CONTROL METHODSJ. Chin. Phys. B, 1999, 8(12): 895-901.
| LUO XIAO-SHU, FANG JIN-QING, WANG LI-HU, KONG LING-JIANG, JIANG FENG. A NEW STRATEGY OF CHAOS CONTROL AND A UNIFIED MECHANISM FOR SEVERAL KINDS OF CHAOS CONTROL METHODSJ. Chin. Phys. B, 1999, 8(12): 895-901. |
A NEW STRATEGY OF CHAOS CONTROL AND A UNIFIED MECHANISM FOR SEVERAL KINDS OF CHAOS CONTROL METHODS
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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 stale, 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 aa inverse sequence of chaotic bands are obtained. At the same time, a unified mechanism of physics for several kinds of current cbaos control methods is studied using the idea proposed in this paper. -
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