GEOMETRIC-METHOD FOR STABILIZING UNSTABLE PERIODIC-ORBITS

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TOROCZKAI, Z
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O4 [物理学];
学科分类号
0702 ;
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Based on a simple geometrical construction, an algorithm is given for stabilizing hyperbolic periodic orbits of two-dimensional maps. The method does not require analytical knowledge of the system's dynamics, only a rough location of the linearized region around the periodic orbit to be stabilized (the target region). This construction can thus be used as a chaos controlling method of feedback type, accessible to experiments. A novel method to find the target regions is also given.
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页码:71 / 78
页数:8
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