Chaotic Behavior of the Measure-Preserving Mappings with Odd Dimension

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Cheng Bao-long. Chaotic Behavior of the Measure-Preserving Mappings with Odd Dimension[J]. Applied Mathematics and Mechanics, 1987, 8(9): 833-838.

Citation:

Cheng Bao-long. Chaotic Behavior of the Measure-Preserving Mappings with Odd Dimension[J]. Applied Mathematics and Mechanics, 1987, 8(9): 833-838.

Citation:

Cheng Bao-long. Chaotic Behavior of the Measure-Preserving Mappings with Odd Dimension[J]. Applied Mathematics and Mechanics, 1987, 8(9): 833-838.

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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