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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.7 No.2

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CHAOS AND LYAPUNOV EXPONENT

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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, 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
chaos, Lyaunov exponent, bifurcation map, sensitive dependence on initial conditions.

한국수학교육학회지시리즈B:순수및응용수학

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