메뉴 건너뛰기




Volumn 187, Issue 3, 1997, Pages 597-621

Hard chaos in magnetic billiards (On the Euclidean plane)

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0040455020     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050151     Document Type: Article
Times cited : (11)

References (21)
  • 1
    • 0030536725 scopus 로고    scopus 로고
    • Integrability and ergodicity of classical billiards in a magnetic field
    • Berglund, N. and Kunz, H.: Integrability and Ergodicity of Classical Billiards in a Magnetic field. J. Stat. Phys. 83, (1/2) 81-126 (1996)
    • (1996) J. Stat. Phys. , vol.83 , Issue.1-2 , pp. 81-126
    • Berglund, N.1    Kunz, H.2
  • 2
    • 0001550103 scopus 로고
    • Chaotic scattering in the presence of an external magnetic field
    • Breymann, W. and Kovács, Z. and Tél, T.: Chaotic scattering in the presence of an external 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
  • 3
    • 29444443343 scopus 로고
    • On the ergodic properties of nowhere dispersing billiards
    • Bunimovich, L. A.: 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
  • 4
    • 0011626535 scopus 로고
    • On the ergodic properties of some billiards
    • Bunimovich, L. A.: 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
  • 5
    • 0000182012 scopus 로고
    • On a fundamental theorem in the theory of dispersing billiards
    • Bunimovich, L. A. and Sinai, Ya. G.: 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, Y.G.2
  • 6
    • 0039558773 scopus 로고
    • Bunimovich, L. A. and Sinai, Ya. G.: 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
  • 11
    • 21144468280 scopus 로고
    • Tangent map for classical billiards in magnetic fields
    • Meplan, O., Brut, F. and Gignoux, C.: 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
  • 12
    • 0000464128 scopus 로고
    • Quantum billiards in a magnetic field: Chaos and diamagnetism
    • Nakamura, K. and Thomas, H.: Quantum Billiards in a Magnetic Field: Chaos and Diamagnetism. Phys. Rev. Lett. 61, (3) 247-250 (1988)
    • (1988) Phys. Rev. Lett. , vol.61 , Issue.3 , pp. 247-250
    • Nakamura, K.1    Thomas, H.2
  • 13
    • 0000452437 scopus 로고
    • Classical billiards in magnetic fields
    • Robnik, M. and Berry, M. V: 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
  • 14
    • 0009987755 scopus 로고
    • Regular and chaotic billiard dynamics in magnetic fields
    • S. Sakar, editor, London: Adam Hilger
    • Robnik, M.: Regular and Chaotic Billiard Dynamics in Magnetic Fields. In: S. Sakar, editor, Nonlinear Phenomena and Chaos. London: Adam Hilger, 1986 pp. 303-330
    • (1986) Nonlinear Phenomena and Chaos , pp. 303-330
    • Robnik, M.1
  • 15
    • 84927896522 scopus 로고
    • Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards
    • Sinai, Ya.G.: 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
  • 16
    • 84927896522 scopus 로고
    • Sinai, Ya.G.: 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
  • 17
    • 0030518477 scopus 로고    scopus 로고
    • The behaviour of nearby trajectories in magnetic billiards
    • Tasnádi, T: The Behaviour of Nearby Trajectories in Magnetic Billiards. J. Math. Phys. 37, 5577-5598 (1996)
    • (1996) J. Math. Phys. , vol.37 , pp. 5577-5598
    • Tasnádi, T.1
  • 18
    • 4243614783 scopus 로고    scopus 로고
    • Hard chaos in magnetic billiards (on the hyperbolic plane)
    • Submitted
    • Tasnádi, T.: Hard Chaos in Magnetic Billiards (On the Hyperbolic Plane). Submitted to Commun. Math. Phys. (1996)
    • (1996) Commun. Math. Phys.
    • Tasnádi, T.1
  • 19
    • 0000928980 scopus 로고
    • Principles for the design of billiards with nonvanishing Lyapunov exponents
    • Wojtkowski, M.: Principles for the Design of Billiards with Nonvanishing Lyapunov Exponents. Commun. Math. Phys. 105, 391-414 (1986)
    • (1986) Commun. Math. Phys. , vol.105 , pp. 391-414
    • Wojtkowski, M.1
  • 20
    • 0006889012 scopus 로고
    • Statistical properties of the energy spectrum of "gliding" electrons with mixed classical trajectories
    • Zaslavskiǐ, G. M. and Filonenko, N. N.: Statistical properties of the energy spectrum of "gliding" electrons with mixed classical trajectories. Sov. Phys.-JETP 38, (2) 317-323 (1974); Zh. Eksp. Teor. Fiz. 65, 643-656, (1973)
    • (1974) Sov. Phys.-JETP , vol.38 , Issue.2 , pp. 317-323
    • Zaslavskiǐ, G.M.1    Filonenko, N.N.2
  • 21
    • 0038965816 scopus 로고
    • Zaslavskiǐ, G. M. and Filonenko, N. N.: Statistical properties of the energy spectrum of "gliding" electrons with mixed classical trajectories. Sov. Phys.-JETP 38, (2) 317-323 (1974); Zh. Eksp. Teor. Fiz. 65, 643-656, (1973)
    • (1973) Zh. Eksp. Teor. Fiz. , vol.65 , pp. 643-656


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.