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Volumn 88, Issue 3-4, 1997, Pages 807-824

Kolmogorov-Sinai entropy, Lyapunov exponents, and mean free time in billiard systems

Author keywords

Billiards; Chaos; Ergodic theory; Kolmogorov Sinai entropy; Lyapunov exponents; Numerical experiments

Indexed keywords


EID: 0031205969     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/b:joss.0000015173.74708.2a     Document Type: Article
Times cited : (25)

References (11)
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  • 2
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  • 3
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    • Enseignement du 3ème cycle de la Physique en Suisse Romande
    • G. Gallavotti, Lectures on the billiards, in "Dynamical systems, theory and applications," Lecture notes in Physics, Vol. 38, Springer-Verlag, Berlin, 1975, ed. J. Moser, p. 236-295; G. Gallavotti, Problemes Ergodiques de la Mechanique Classique, Enseignement du 3ème cycle de la Physique en Suisse Romande.
    • Problemes Ergodiques de la Mechanique Classique
    • Gallavotti, G.1
  • 4
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    • Dynamical systems with elastic reflections, ergodic properties of dispersing billiards
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    • Sinai, Ya.1
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  • 6
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    • Power-law behavior of Lyapunov exponents in some conservative dynamical systems
    • G. Benettin, Power-law behavior of Lyapunov exponents in some conservative dynamical systems, Physica 13B:211-220 (1984).
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    • Benettin, G.1
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    • Numerical experiments on the free motion of a point mass moving in a plane convex region: Stochastic transition and entropy
    • G. Benettin and J. M. Strelcyn, Numerical experiments on the free motion of a point mass moving in a plane convex region: Stochastic transition and entropy, Phys. Rev A 17:773-785 (1978).
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    • Benettin, G.1    Strelcyn, J.M.2
  • 8
    • 0041081046 scopus 로고
    • Universal behavior of Sinai billiard systems in small-scatterer limit
    • B. Friedman, Y. Oono and I. Kubo, Universal Behavior of Sinai Billiard Systems in Small-Scatterer Limit, Phys. Rev. Lett. 52:709-712 (1984).
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  • 9
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    • Numerical study of a D-dimensional periodic Lorentz gas with universal properties
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  • 10
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    • The billiard algorithm and KS entropy
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.