A NEW STRATEGY OF CHAOS CONTROL AND A UNIFIED MECHANISM FOR SEVERAL KINDS OF CHAOS CONTROL METHODS
LUO XIAO-SHU (罗晓曙)a, FANG JIN-QING (方锦清)b, WANG LI-HU (王力虎)a, KONG LING-JIANG (孔令江)a, JIANG FENG (江峰)a
a Department of Physics and Electronic Science, Guangxi Normal University, Guili 541004, China; b China Institute of Atomic Energy, Beijing 102413, China
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.
Received: 13 January 1999
Revised: 06 June 1999
Accepted manuscript online:
Fund: Project supported by the Science Foundation of Education Bureau of GuangXi Zhuang Autonomous Region (Grant No. 9816940) and by the National Natural Science Foundation of China.
Cite this article:
LUO XIAO-SHU (罗晓曙), FANG JIN-QING (方锦清), WANG LI-HU (王力虎), KONG LING-JIANG (孔令江), JIANG FENG (江峰) A NEW STRATEGY OF CHAOS CONTROL AND A UNIFIED MECHANISM FOR SEVERAL KINDS OF CHAOS CONTROL METHODS 1999 Acta Physica Sinica (Overseas Edition) 8 895
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