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Volumn 37, Issue 11, 1996, Pages 5577-5598

The behavior of nearby trajectories in magnetic billiards

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EID: 0030518477     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531723     Document Type: Article
Times cited : (18)

References (21)
  • 1
    • 0002998341 scopus 로고
    • Les surfaces à courbures opposées et leurs lignes geodésiques
    • J. Hadamard, "Les surfaces à courbures opposées et leurs lignes geodésiques," J. Math. Pures Appl. 27-73 (1898).
    • (1898) J. Math. Pures Appl. , pp. 27-73
    • Hadamard, J.1
  • 5
    • 84927896522 scopus 로고
    • Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards
    • Ya. G. Sinai, "Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards," Russ. Math. Surv. 25, 137-189 (1970); Usp. Mat. Nauk 25, 141-192 (1970).
    • (1970) Russ. Math. Surv. , vol.25 , pp. 137-189
    • Sinai, Ya.G.1
  • 6
    • 84927896522 scopus 로고
    • Ya. G. Sinai, "Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards," Russ. Math. Surv. 25, 137-189 (1970); Usp. Mat. Nauk 25, 141-192 (1970).
    • (1970) Usp. Mat. Nauk , vol.25 , pp. 141-192
  • 7
    • 0000182012 scopus 로고
    • On a fundamental theorem in the theory of dispersing billiards
    • L. A. Bunimovich and Ya. G. Sinai, "On a fundamental theorem in the theory of dispersing billiards," Mat. Sb. 90, 415-431 (1973); Math. USSR Sb. 19, 407-424 (1973).
    • (1973) Mat. Sb. , vol.90 , pp. 415-431
    • Bunimovich, L.A.1    Sinai, Ya.G.2
  • 8
    • 0039558773 scopus 로고
    • L. A. Bunimovich and Ya. G. Sinai, "On a fundamental theorem in the theory of dispersing billiards," Mat. Sb. 90, 415-431 (1973); Math. USSR Sb. 19, 407-424 (1973).
    • (1973) Math. USSR Sb. , vol.19 , pp. 407-424
  • 9
    • 0011626535 scopus 로고
    • On the ergodic properties of some billiards
    • L. A. Bunimovich, "On the ergodic properties of some billiards," Funct. Anal. Appl. 8, 73-74 (1974).
    • (1974) Funct. Anal. Appl. , vol.8 , pp. 73-74
    • Bunimovich, L.A.1
  • 10
    • 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
  • 12
    • 46149132858 scopus 로고
    • Chaos on the pseudosphere
    • N. L. Balazs and A. Voros, "Chaos on the pseudosphere," Phys. Rep. 143(3), 109-240 (1986).
    • (1986) Phys. Rep. , vol.143 , Issue.3 , pp. 109-240
    • Balazs, N.L.1    Voros, A.2
  • 13
    • 0010778232 scopus 로고
    • Transition from Poissonian to Gaussian-orthogonal-ensemble level statistics in a modified Artin's billiard
    • A. Csordás, R. Graham, P. Szépfalusy, and G. Vattay, "Transition from Poissonian to Gaussian-orthogonal-ensemble level statistics in a modified Artin's billiard," Phys. Rev. E 49(1), 325-332 (1994).
    • (1994) Phys. Rev. E , vol.49 , Issue.1 , pp. 325-332
    • Csordás, A.1    Graham, R.2    Szépfalusy, P.3    Vattay, G.4
  • 14
    • 0003255969 scopus 로고
    • Chaos in Classical and Quantum Mechanics
    • Springer, Berlin
    • M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics, volume 1 of Interdisciplinary Applied Mathematics (Springer, Berlin, 1990).
    • (1990) Interdisciplinary Applied Mathematics , vol.1
    • Gutzwiller, M.C.1
  • 15
    • 0000232377 scopus 로고
    • On the K-property of some planar hyperbolic billiards
    • D. Szász, "On the K-property of some planar hyperbolic billiards," Commun. Math. Phys. 145, 595-604 (1992).
    • (1992) Commun. Math. Phys. , vol.145 , pp. 595-604
    • Szász, D.1
  • 17
    • 0000452437 scopus 로고
    • Classical billiards in magnetic fields
    • M. Robnik and M. V. Berry, "Classical billiards in magnetic fields," J. Phys. A 18, 1361-1378 (1985).
    • (1985) J. Phys. A , vol.18 , pp. 1361-1378
    • Robnik, M.1    Berry, M.V.2
  • 18
    • 21144468280 scopus 로고
    • Tangent map for classical billiards in magnetic fields
    • O. Meplan, F. Brut, and C. Gignoux, "Tangent map for classical billiards in magnetic fields," J. Phys. A 26, 237-246 (1993).
    • (1993) J. Phys. A , vol.26 , pp. 237-246
    • Meplan, O.1    Brut, F.2    Gignoux, C.3
  • 19
    • 0001550103 scopus 로고
    • Chaotic scattering in the presence of an externel magnetic field
    • W. Breymann, Z. Kovács, and T. Tél, "Chaotic scattering in the presence of an externel magnetic field," Phys. Rev. E 50(3), 1994-2006 (1994).
    • (1994) Phys. Rev. E , vol.50 , Issue.3 , pp. 1994-2006
    • Breymann, W.1    Kovács, Z.2    Tél, T.3
  • 20
    • 0000210690 scopus 로고
    • On the Landau levels on the hyperbolic plane
    • A. Comtet, "On the Landau levels on the hyperbolic plane," Ann. Phys. 173, 185-209 (1987).
    • (1987) Ann. Phys. , vol.173 , pp. 185-209
    • Comtet, A.1
  • 21
    • 0003273754 scopus 로고
    • Riemannsche Geometrie im Grossen
    • Springer-Verlag, Berlin, Ch. 2
    • D. Gromoll, W. Klingenberg, and W. Meyer, Riemannsche Geometrie im Grossen, Vol. 55 of Lecture Notes in Mathematics (Springer-Verlag, Berlin, 1968), Ch. 2, pp. 46-50.
    • (1968) Lecture Notes in Mathematics , vol.55 , pp. 46-50
    • Gromoll, D.1    Klingenberg, W.2    Meyer, W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.