Control of transient chaos in tent maps near crisis. II. Periodic orbit targeting
نویسندگان
چکیده
Recent work on a symbolic approach to the calculation of probability distributions arising in the application of the Ott-Grebogi-Yorke strategy to transiently chaotic tent maps is extended to the case of control to a nontrivial periodic orbit. Closed forms are derived for the probability of control being achieved and the average number of iterations to control when it occurs. Both single-component and multiple-component targeting are considered, and illustrative examples of the results obtained are presented.
منابع مشابه
Control of transient chaos in tent maps near crisis. I. Fixed point targeting
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ورودعنوان ژورنال:
- Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
دوره 61 2 شماره
صفحات -
تاریخ انتشار 2000