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Chaotic behavior of the measure-preserving mappings with odd dimension

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Abstract

In this paper, we consider the measure-preserving mapping C with dimension 3 which is also the expansion of Henon mapping. Then we study the character of its fixed points and chaotic behavior. Next we offer a possibility that using the chaotic behavior of the lower dimensional mappings brings about the higher.

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References

  1. Henon, M., Numerical study of quadratic area-preserving mappings,Quart. Appl. Math. 27 (1969), 291.

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Authors and Affiliations

  1. Central-South University of Technology, Changsha

    Cheng Bao-long

Authors
  1. Cheng Bao-long
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Communicated by Chien Wei-zang

Projects supported by the Scientific Fund of the Chinese Academy of Sciences.

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Bao-long, C. Chaotic behavior of the measure-preserving mappings with odd dimension. Appl Math Mech 8, 883–888 (1987). https://doi.org/10.1007/BF02019526

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  • DOI: https://doi.org/10.1007/BF02019526

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