메뉴 건너뛰기




Volumn 108, Issue 5-6, 2002, Pages 995-1014

Particle dynamics in time-dependent stadium-like billiards

Author keywords

Billiards; Chaos; Fermi acceleration; Phase portraits

Indexed keywords


EID: 0141561901     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1019735313330     Document Type: Article
Times cited : (62)

References (22)
  • 1
    • 0004223966 scopus 로고
    • American Mathematical Society, N.Y.
    • G. Birkhoff, Dynamical Systems (American Mathematical Society, N.Y., 1927).
    • (1927) Dynamical Systems
    • Birkhoff, G.1
  • 2
    • 0030534814 scopus 로고    scopus 로고
    • Static and time-dependent perturbations of the classical elliptical billiard
    • J. Koiller, R. Markarian, S. Q. Kamphorst, and S. P. de Carvalho, Static and time-dependent perturbations of the classical elliptical billiard, J. Statist. Phys. 83:127 (1996).
    • (1996) J. Statist. Phys. , vol.83 , pp. 127
    • Koiller, J.1    Markarian, R.2    Kamphorst, S.Q.3    De Carvalho, S.P.4
  • 3
    • 0001379329 scopus 로고
    • Dynamical system with elastic reflection: Ergodic properties of dispersing billiards
    • Ya. G. Snai, Dynamical system with elastic reflection: Ergodic properties of dispersing billiards, Russian Math. Surveys 25:137-188 (1970).
    • (1970) Russian Math. Surveys , vol.25 , pp. 137-188
    • Snai, Ya.G.1
  • 4
    • 11744373241 scopus 로고
    • Statistical properties of Lorentz gas with periodic configuration of scatterers
    • L. A. Bunimovich and Ya. G. Snai, Statistical properties of Lorentz gas with periodic configuration of scatterers, Comm. Math. Phys. 78:479-497 (1981).
    • (1981) Comm. Math. Phys. , vol.78 , pp. 479-497
    • Bunimovich, L.A.1    Snai, Ya.G.2
  • 5
    • 0001385478 scopus 로고
    • New ergodic billiards: Exact results
    • R. Markarian. New ergodic billiards: Exact results, Nonlinearity 6:819-841 (1993).
    • (1993) Nonlinearity , vol.6 , pp. 819-841
    • Markarian, R.1
  • 6
    • 0011626535 scopus 로고
    • On ergodic properties of some billiards
    • L. A. Bunimovich, On ergodic properties of some billiards, Func. Anal. Appl. 8:73 (1974).
    • (1974) Func. Anal. Appl. , vol.8 , pp. 73
    • Bunimovich, L.A.1
  • 7
    • 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
  • 8
    • 0002177149 scopus 로고
    • Stochasticity in quantum mechanics
    • G. M. Zaslavsiky, Stochasticity in quantum mechanics, Phys. Rep. 80:147-250 (1981).
    • (1981) Phys. Rep. , vol.80 , pp. 147-250
    • Zaslavsiky, G.M.1
  • 10
    • 3843132077 scopus 로고
    • On the origin of the cosmic radiation
    • E. Fermi, On the origin of the cosmic radiation, Phys. Rev. 75:1169 (1949).
    • (1949) Phys. Rev. , vol.75 , pp. 1169
    • Fermi, E.1
  • 13
    • 0039938911 scopus 로고    scopus 로고
    • Geometric formulation of mechanical systems subjected to time-dependent one-sided constraints
    • A. Ibort, M. de Leon, E. A. Lacomba and others, Geometric formulation of mechanical systems subjected to time-dependent one-sided constraints. J. Phys. A 31:2655 (1998).
    • (1998) J. Phys. A , vol.31 , pp. 2655
    • Ibort, A.1    De Leon, M.2    Lacomba, E.A.3
  • 14
    • 0002232775 scopus 로고
    • Quasiperiodic motions in superquadratic time-periodic potentials
    • M. Levi, Quasiperiodic motions in superquadratic time-periodic potentials, Commun. Math. Phys. 143:43-83 (1991).
    • (1991) Commun. Math. Phys. , vol.143 , pp. 43-83
    • Levi, M.1
  • 15
    • 0033196103 scopus 로고    scopus 로고
    • Bounded gain of energy on the breathing circle billiard
    • S. Q. Kamphorst and S. P. de Carvalho, Bounded gain of energy on the breathing circle billiard, Nonlinearity 12:1363,(1999).
    • (1999) Nonlinearity , vol.12 , pp. 1363
    • Kamphorst, S.Q.1    De Carvalho, S.P.2
  • 16
    • 22844454685 scopus 로고    scopus 로고
    • Mechanism of Fermi acceleration in dispersing billiards with time-dependent boundaries
    • A. Loskutov, A. B. Ryabov, and L. G. Akinshin, Mechanism of Fermi acceleration in dispersing billiards with time-dependent boundaries, J. Experiment. Theoret. Phys. 86:966-973 (1999).
    • (1999) J. Experiment. Theoret. Phys. , vol.86 , pp. 966-973
    • Loskutov, A.1    Ryabov, A.B.2    Akinshin, L.G.3
  • 17
    • 0034634128 scopus 로고    scopus 로고
    • Properties of some chaolic billiards with time-dependent boundaries
    • A. Loskutov, A. B. Ryabov, and L. G. Akinshin, Properties of some chaolic billiards with time-dependent boundaries, J. Phys. A 44:7973-7986 (2000).
    • (2000) J. Phys. A , vol.44 , pp. 7973-7986
    • Loskutov, A.1    Ryabov, A.B.2    Akinshin, L.G.3
  • 18
    • 0035438228 scopus 로고    scopus 로고
    • Vibrating quantum billiards on Riemannian manifolds
    • M. A. Porter and R. L. Liboff, Vibrating quantum billiards on Riemannian manifolds, Internat. J. Bifur. Chaos 11:2305-2315 (2001).
    • (2001) Internat. J. Bifur. Chaos , vol.11 , pp. 2305-2315
    • Porter, M.A.1    Liboff, R.L.2
  • 19
    • 0035438227 scopus 로고    scopus 로고
    • Quantum chaos for the vibrating rectangular billiard
    • M. A. Porter and R. L. Liboff, Quantum chaos for the vibrating rectangular billiard, Internat. J. Bifur. Chaos 11:2317-2337 (2001).
    • (2001) Internat. J. Bifur. Chaos , vol.11 , pp. 2317-2337
    • Porter, M.A.1    Liboff, R.L.2
  • 20
    • 0034195440 scopus 로고    scopus 로고
    • Quantum chaos for the radially vibrating spherical billiard
    • M. A. Porter and R. L. Liboff, Quantum chaos for the radially vibrating spherical billiard, Chaos 10:366-370 (2000).
    • (2000) Chaos , vol.10 , pp. 366-370
    • Porter, M.A.1    Liboff, R.L.2
  • 21
    • 0040363390 scopus 로고
    • Conditions of stochasticity of two-demensional billiards
    • L. A. Bunimovich, Conditions of stochasticity of two-demensional billiards, Chaos 1:187-93 (1991).
    • (1991) Chaos , vol.1 , pp. 187-193
    • Bunimovich, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.