The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 7 Issue 2
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- Pages.87-100
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- 2000
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
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
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.