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Chaos
Volumn 6, Issue 1, 1996, Pages 43-58
A two-parameter study of the extent of chaos in a billiard system
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[No Author keywords available]
Indexed keywords

EID: 0003047966     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.166156     Document Type: Article
Times cited : (22)
References (14)
  • 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
  • 2
    • 0003017867 scopus 로고
    • On billiards close to dispersing
    • L. A. Bunimovich, "On billiards close to dispersing," Mat. Sb. 94, 49-73 (1974) [English Transi, in Math. USSR Sb. 23, No. 1 (1974)].
    • (1974) Mat. Sb. , vol.94 , pp. 49-73
    • Bunimovich, L.A.1
  • 3
    • 85000261462 scopus 로고
    • L. A. Bunimovich, "On billiards close to dispersing," Mat. Sb. 94, 49-73 (1974) [English Transi, in Math. USSR Sb. 23, No. 1 (1974)].
    • (1974) Math. USSR Sb. , vol.23 , Issue.1
  • 4
    • 36149045979 scopus 로고
    • Regularity and chaos in classical mechanics, illustrated by three deformations of a circular billiard
    • M. V. Berry, "Regularity and chaos in classical mechanics, illustrated by three deformations of a circular billiard," Eur. J. Phys. 2, 91-102 (1981).
    • (1981) Eur. J. Phys. , vol.2 , pp. 91-102
    • Berry, M.V.1
  • 7
    • 0040526047 scopus 로고
    • The Benettin-Strelcyn oval billiard revisited
    • M. Hénon and J. Wisdom, "The Benettin-Strelcyn oval billiard revisited," Physica D 8, 157-169 (1983).
    • (1983) Physica D , vol.8 , pp. 157-169
    • Hénon, M.1    Wisdom, J.2
  • 8
    • 0004607541 scopus 로고
    • 1 formés de quatre arcs de cercles
    • 1 formés de quatre arcs de cercles," Celest. Mech. 38, 23-66 (1986).
    • (1986) Celest. Mech. , vol.38 , pp. 23-66
    • Hayli, A.1    Dumont, Th.2
  • 9
    • 29444443343 scopus 로고
    • On the ergodic properties of nowhere dispersing billiards
    • L. A. Bunimovich, "On the ergodic properties of nowhere dispersing billiards," Commun. Math. Phys. 65, 295-312 (1979).
    • (1979) Commun. Math. Phys. , vol.65 , pp. 295-312
    • Bunimovich, L.A.1
  • 10
    • 0347190915 scopus 로고
    • Postmodern quantum mechanics
    • E. J. Heller and S. Tomsovic, "Postmodern quantum mechanics," Phys. Today 46(7), 38-46 (1993).
    • (1993) Phys. Today , vol.46 , Issue.7 , pp. 38-46
    • Heller, E.J.1    Tomsovic, S.2
  • 11
    • 0004223966 scopus 로고
    • American Mathematical Society, Providence, RI
    • G. D. Birkhoff, Dynamical Systems (American Mathematical Society, Providence, RI, 1927).
    • (1927) Dynamical Systems
    • Birkhoff, G.D.1
  • 12
    • 4243718926 scopus 로고
    • On the discontinuities of the boundary in billiards
    • T. Dagaeff and C. Rouvinez, "On the discontinuities of the boundary in billiards," Physica D 67, 166-187 (1993).
    • (1993) Physica D , vol.67 , pp. 166-187
    • Dagaeff, T.1    Rouvinez, C.2
  • 13
    • 36749116209 scopus 로고
    • A method for determining a stochastic transition
    • J. M. Greene, "A method for determining a stochastic transition," J. Math. Phys. 20, 1183-1201 (1979).
    • (1979) J. Math. Phys. , vol.20 , pp. 1183-1201
    • Greene, J.M.1
  • 14
    • 0003319234 scopus 로고
    • Mathematical methods of classical mechanics
    • Springer-Verlag, New York
    • V. I. Arnold, "Mathematical methods of classical mechanics," Graduate Texts in Mathematics (Springer-Verlag, New York, 1978), Vol. 6.
    • (1978) Graduate Texts in Mathematics , vol.6
    • Arnold, V.I.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.