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
Xiao-shu, Luo; Jin-qing, Fang; Li-hu, Wang; Ling-jiang, Kong; Feng, Jiang
1999-12-01 00:00:00
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.pngActa Physica Sinica (Overseas Edition)IOP Publishinghttp://www.deepdyve.com/lp/iop-publishing/a-new-strategy-of-chaos-control-and-a-unified-mechanism-for-several-OScZ9dAhsQ
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.
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