CHAOTIC BEHAVIOR OF THE MEASURE-PRESERVING MAPPINGS WITH ODD DIMENSION

Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (9): 883-888.

CHAOTIC BEHAVIOR OF THE MEASURE-PRESERVING MAPPINGS WITH ODD DIMENSION

程宝龙

Central-South University of Technology, Changsha

收稿日期:1986-04-05 出版日期:1987-09-18 发布日期:1987-09-18

CHAOTIC BEHAVIOR OF THE MEASURE-PRESERVING MAPPINGS WITH ODD DIMENSION

Cheng Bao-long

Central-South University of Technology, Changsha

Received:1986-04-05 Online:1987-09-18 Published:1987-09-18

摘要/Abstract

摘要： 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.

关键词: optimal control, discrete Hamilton-Jacobi-Bellman equations, variational inequality, modified domain decomposition method, convergence

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.

Key words: optimal control, discrete Hamilton-Jacobi-Bellman equations, variational inequality, modified domain decomposition method, convergence

程宝龙. CHAOTIC BEHAVIOR OF THE MEASURE-PRESERVING MAPPINGS WITH ODD DIMENSION[J]. Applied Mathematics and Mechanics (English Edition), 1987, 8(9): 883-888.

Cheng Bao-long. CHAOTIC BEHAVIOR OF THE MEASURE-PRESERVING MAPPINGS WITH ODD DIMENSION[J]. Applied Mathematics and Mechanics (English Edition), 1987, 8(9): 883-888.

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CHAOTIC BEHAVIOR OF THE MEASURE-PRESERVING MAPPINGS WITH ODD DIMENSION

CHAOTIC BEHAVIOR OF THE MEASURE-PRESERVING MAPPINGS WITH ODD DIMENSION

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