CHAOS AND LYAPUNOV EXPONENT
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2000, v.7 no.2, pp.87-100
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)
Yu, Se-Ra,
&
Kim, Yon-Mi.
(2000). CHAOS AND LYAPUNOV EXPONENT. 한국수학교육학회지시리즈B:순수및응용수학, 7(2), 87-100.
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.
- keywords
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chaos,
Lyaunov exponent,
bifurcation map,
sensitive dependence on initial conditions.