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Volumn 174, Issue 3, 1996, Pages 661-679

Chaotic properties of the elliptical stadium

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[No Author keywords available]

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EID: 0011943141     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02101531     Document Type: Article
Times cited : (29)

References (15)
  • 1
    • 36149045979 scopus 로고
    • Regularity and chaos in classical mechanics, illustrated by three deformations of a circular billiard
    • Berry, M.V.: 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
  • 2
    • 0039151660 scopus 로고
    • Providence, RI: A.M.S. Colloquium Publications (Original ed. 1927)
    • Birkhoff, G.D.: Dynamical Systems. Providence, RI: A.M.S. Colloquium Publications 1966 (Original ed. 1927)
    • (1966) Dynamical Systems
    • Birkhoff, G.D.1
  • 3
    • 0007144740 scopus 로고
    • On billiards close to dispersing
    • Bunimovich, L.A.: On billiards close to dispersing. Math. USSR Sb. 23, 45-67 (1974); Bunimovich, L.A.: On ergodic properties of nowhere dispersing billiards. Commun. Math. Phys. 65, 295-312 (1979)
    • (1974) Math. USSR Sb. , vol.23 , pp. 45-67
    • Bunimovich, L.A.1
  • 4
    • 29444443343 scopus 로고
    • On ergodic properties of nowhere dispersing billiards
    • Bunimovich, L.A.: On billiards close to dispersing. Math. USSR Sb. 23, 45-67 (1974); Bunimovich, L.A.: On 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
  • 6
    • 0000686820 scopus 로고
    • Elliptical billiards and Poncelet's theorem
    • Chang, S.-J., Friedberg, R.: Elliptical billiards and Poncelet's theorem. J. Math. Phys. 29(7), 1537-1550 (1988)
    • (1988) J. Math. Phys. , vol.29 , Issue.7 , pp. 1537-1550
    • Chang, S.-J.1    Friedberg, R.2
  • 7
    • 0001703406 scopus 로고
    • Using integrability to produce chaos: Billiards with positive entropy
    • Donnay, V.J.: Using integrability to produce chaos: Billiards with positive entropy. Commun. Math. Phys. 141, 225-257 (1991)
    • (1991) Commun. Math. Phys. , vol.141 , pp. 225-257
    • Donnay, V.J.1
  • 10
    • 0009175428 scopus 로고
    • Introduction to the ergodic theory of plane billiards
    • Santiago de Chile, 1990. Harlow: Longman
    • Markarian, R.: Introduction to the ergodic theory of plane billiards. In: Dynamical Systems, Santiago de Chile, 1990. Harlow: Longman, 1993. pp. 327-439
    • (1993) Dynamical Systems , pp. 327-439
    • Markarian, R.1
  • 11
    • 0001385478 scopus 로고
    • New ergodic billiards: Exact results
    • Markarian, R.: New ergodic billiards: Exact results. Nonlinearity 6, 819-841 (1993)
    • (1993) Nonlinearity , vol.6 , pp. 819-841
    • Markarian, R.1
  • 14
    • 0039151658 scopus 로고
    • Plane billiards as smooth dynamical systems with singularities
    • Katok, Strelcyn, in coll. with Ledrappier, Przytrcki, Berlin, Heidelberg, New York: Springer
    • Strelcyn, J.-M.: Plane Billiards as Smooth Dynamical Systems with Singularities. In: Katok, Strelcyn, in coll. with Ledrappier, Przytrcki, LNM 1222. Berlin, Heidelberg, New York: Springer, 1986
    • (1986) LNM , vol.1222
    • Strelcyn, J.-M.1
  • 15
    • 0000176923 scopus 로고
    • Invariant families of cones and Lyapunov exponents
    • Wojtkowski, M.: Invariant families of cones and Lyapunov exponents. Ergod. Th. Dynam. Sys. 5, 145-161 (1985)
    • (1985) Ergod. Th. Dynam. Sys. , vol.5 , pp. 145-161
    • Wojtkowski, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.