The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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CHAOS AND LYAPUNOV EXPONENT

  • Yu, Se-Ra (Department of Mathematics Education, University of Texas at Austin) ;
  • Kim, Yon-Mi (Dept. of Applied Mathematics, College of Engineering, Hong Ik University)
  • Published : 2000.11.01
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Abstract

In this paper, we try to approach chasos with numerical method. After investigating nonlinear dynamcis (chaos) theory, we introduce Lyapunov exponent as chaos\`s index. To look into the existence of chaos in 2-dimensional difference equation we computes Lypunov exponent and examine the various behaviors of solutions by difurcation map.

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