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

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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.

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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