The symbolic dynamics of the sawtooth map is extended to the dissipative piecewise linear standard map. The ordering rules of foliations are derived, and the admissibility condition for allowed symbolic sequences is obtained. A symbolic analysis is given for invariant circles of the piecewise linear standard map without dissipation.
Abstract
The symbolic dynamics of the sawtooth map is extended to the dissipative piecewise linear standard map. The ordering rules of foliations are derived, and the admissibility condition for allowed symbolic sequences is obtained. A symbolic analysis is given for invariant circles of the piecewise linear standard map without dissipation.
关键词
symbolic dynamics /
dissipative piecewise linear standard map /
ordering rule
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Key words
symbolic dynamics /
dissipative piecewise linear standard map /
ordering rule
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参考文献
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脚注
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基金
The project partially supported by National Natural Science Foundation of China
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