Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (7): 649-653.

• 论文 • 上一篇    下一篇

CHAOTIC BEHAVIOR IN THE HELLEMAN MAPPING

程宝龙   

  1. Central-South Polytechnic University, Changsha
  • 收稿日期:1986-06-08 出版日期:1987-07-18 发布日期:1987-07-18
  • 基金资助:

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

CHAOTIC BEHAVIOR IN THE HELLEMAN MAPPING

Cheng Bao-long   

  1. Central-South Polytechnic University, Changsha
  • Received:1986-06-08 Online:1987-07-18 Published:1987-07-18
  • Supported by:

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

摘要: In this paper, we establish the analytical conditions for the Helleman mapping in which the Smale horseshoe appears. Then we use it to educe the chaotic criterion of Henon maps.

关键词: micropolar ferromagnetic fluid, solute gradient, magnetization, porous medium, medium permeability, triple-diffusive convection

Abstract: In this paper, we establish the analytical conditions for the Helleman mapping in which the Smale horseshoe appears. Then we use it to educe the chaotic criterion of Henon maps.

Key words: porous medium, medium permeability, triple-diffusive convection, magnetization, solute gradient, micropolar ferromagnetic fluid

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