Applied Mathematics and Mechanics

, Volume 8, Issue 9, pp 883–888 | Cite as

Chaotic behavior of the measure-preserving mappings with odd dimension

  • Cheng Bao-long


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.


Mathematical Modeling Industrial Mathematic Chaotic Behavior Dimensional Mapping Henon Mapping 
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    Henon, M., Numerical study of quadratic area-preserving mappings,Quart. Appl. Math. 27 (1969), 291.Google Scholar
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    Sun, Yi-Sui, Invariant manifolds in the measure-preserving mappings with three-dimensions,Sci Sini.,27 (1984), 174.Google Scholar
  3. [3]
    LI, T.Y., and J.A. Yorke, Period three implies chaos,Amer. Math. Monthly,82 (1975), 985.Google Scholar

Copyright information

© Shanghai University of Technology 1987

Authors and Affiliations

  • Cheng Bao-long
    • 1
  1. 1.Central-South University of TechnologyChangsha

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