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Hierarchical structure of attractors of dynamical systems

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Abstract

Some basic properties of the small random perturbed dynamical system of Freidlin-Wentzell type are elicited. A hierarchy structure of attractors is constructed and some further properties of this structure are confirmed.

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Authors and Affiliations

  1. Department of Probability and Statistics, Peking University, 100871, Beijing, China

    Yulin Li & Minping Qian

Authors
  1. Yulin Li
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  2. Minping Qian
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Additional information

Project supported by the National Natural Science Foundation of China and the Doctoral Program Foundation of IHE 863 Program, China.

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Li, Y., Qian, M. Hierarchical structure of attractors of dynamical systems. Sci. China Ser. A-Math. 41, 1128–1134 (1998). https://doi.org/10.1007/BF02871974

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  • DOI: https://doi.org/10.1007/BF02871974

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