메뉴 건너뛰기




Volumn 19, Issue 5, 1999, Pages 1111-1125

Abnormal escape rates from nonuniformly hyperbolic sets

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033422235     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385799141683     Document Type: Article
Times cited : (22)

References (32)
  • 3
    • 0039332325 scopus 로고    scopus 로고
    • Persistent nonhyperbolic transitive diffeomorphisms
    • C. Bonatti and L. J. Díaz. Persistent nonhyperbolic transitive diffeomorphisms. Ann. Math. 143(2) (1996), 357-396.
    • (1996) Ann. Math. , vol.143 , Issue.2 , pp. 357-396
    • Bonatti, C.1    Díaz, L.J.2
  • 5
    • 0013501719 scopus 로고
    • The ergodic theory of Axiom A flows
    • R. Bowen and D. Ruelle. The ergodic theory of Axiom A flows. Invent. Math. 29 (1975), 181-202.
    • (1975) Invent. Math. , vol.29 , pp. 181-202
    • Bowen, R.1    Ruelle, D.2
  • 6
    • 0032354941 scopus 로고    scopus 로고
    • Conditionally invariant measures for Anosov maps with small holes
    • N. Chernov, R. Markarian and S. Troubetzkoy. Conditionally invariant measures for Anosov maps with small holes. Ergod. Th. & Dynam. Sys. 18 (1998), 1049-1074.
    • (1998) Ergod. Th. & Dynam. Sys. , vol.18 , pp. 1049-1074
    • Chernov, N.1    Markarian, R.2    Troubetzkoy, S.3
  • 7
    • 22644452002 scopus 로고    scopus 로고
    • On the enhancement of diffusion by chaos: Escape rates and stochastic instability
    • P. Collet, S. Martinez and B. Schmitt. On the enhancement of diffusion by chaos: escape rates and stochastic instability. Trans. Amer. Math. Soc. 351 (1999), 2875-2897.
    • (1999) Trans. Amer. Math. Soc. , vol.351 , pp. 2875-2897
    • Collet, P.1    Martinez, S.2    Schmitt, B.3
  • 8
    • 4243900592 scopus 로고
    • Rate of escape of some chaotic Julia sets
    • G. Contreras-Barandiarán. Rate of escape of some chaotic Julia sets. Commun. Math. Phys. 133 (1990), 197-215.
    • (1990) Commun. Math. Phys. , vol.133 , pp. 197-215
    • Contreras-Barandiarán, G.1
  • 9
    • 0039841370 scopus 로고
    • 2-creation of links of critical points
    • 2-creation of links of critical points. Ergod. Th. & Dynam. Sys. 13 (1993), 263-288.
    • (1993) Ergod. Th. & Dynam. Sys. , vol.13 , pp. 263-288
    • Contreras, G.1
  • 10
    • 0001218880 scopus 로고
    • Are attractors relevant to turbulence?
    • J. P. Crutchfield and K. Kaneko. Are attractors relevant to turbulence? Phys. Rev. Lett. 60 (1988), 2715-2718.
    • (1988) Phys. Rev. Lett. , vol.60 , pp. 2715-2718
    • Crutchfield, J.P.1    Kaneko, K.2
  • 13
    • 35949018382 scopus 로고
    • Ergodic theory of chaos and strange attractors
    • J.-P. Eckmann and D. Ruelle. Ergodic theory of chaos and strange attractors. Rev. Mod. Phys. 57 (1985), 617-656.
    • (1985) Rev. Mod. Phys. , vol.57 , pp. 617-656
    • Eckmann, J.-P.1    Ruelle, D.2
  • 14
    • 17044421499 scopus 로고
    • Dynamical ensembles in stationary states
    • G. Gallavotti and E. G. D. Cohen. Dynamical ensembles in stationary states. J. Stat. Phys. 80 (1995), 931-970.
    • (1995) J. Stat. Phys. , vol.80 , pp. 931-970
    • Gallavotti, G.1    Cohen, E.G.D.2
  • 15
    • 6144292336 scopus 로고
    • Chaotic scattering theory, thermodynamic formalism, and transport coefficients
    • P. Gaspard and J. R. Dorfman. Chaotic scattering theory, thermodynamic formalism, and transport coefficients. Phys. Rev. E 52(3) (1995), 3525-3552.
    • (1995) Phys. Rev. E , vol.52 , Issue.3 , pp. 3525-3552
    • Gaspard, P.1    Dorfman, J.R.2
  • 16
    • 0012349493 scopus 로고
    • Crises, sudden changes in chaotic attractors, and transient chaos
    • C. Grebogi, E. Ott and J. A. Yorke. Crises, sudden changes in chaotic attractors, and transient chaos. Physica D 7 (1983), 181-200.
    • (1983) Physica D , vol.7 , pp. 181-200
    • Grebogi, C.1    Ott, E.2    Yorke, J.A.3
  • 19
    • 46549094713 scopus 로고
    • Repellers, semi-attractors, and long-lived chaotic transients
    • H. Kantz and P. Grassberger. Repellers, semi-attractors, and long-lived chaotic transients. Physica D 17 (1985), 75-86.
    • (1985) Physica D , vol.17 , pp. 75-86
    • Kantz, H.1    Grassberger, P.2
  • 20
    • 0030128039 scopus 로고    scopus 로고
    • Open billiards: Invariant and conditionally invariant probabilities on Cantor sets
    • A. Lopes and R. Markarian. Open billiards: invariant and conditionally invariant probabilities on Cantor sets. Siam J. Appl. Math. 56 (1996), 651-680.
    • (1996) Siam J. Appl. Math. , vol.56 , pp. 651-680
    • Lopes, A.1    Markarian, R.2
  • 21
    • 49349128830 scopus 로고
    • Contributions to the stability conjecture
    • R. Mañé. Contributions to the stability conjecture. Topology 17 (1978), 383-396.
    • (1978) Topology , vol.17 , pp. 383-396
    • Mañé, R.1
  • 22
    • 0003241363 scopus 로고
    • Hyperbolic nonwandering sets on two-dimensional manifolds
    • Ed. M. Peixoto. Academic, New York
    • S. Newhouse and J. Palis. Hyperbolic nonwandering sets on two-dimensional manifolds. Dynamical Systems (Salvador). Ed. M. Peixoto. Academic, New York, 1973, pp. 293-301.
    • (1973) Dynamical Systems (Salvador) , pp. 293-301
    • Newhouse, S.1    Palis, J.2
  • 23
    • 84967713041 scopus 로고
    • Expanding maps on sets which are almost invariant. Decay and chaos
    • G. Pianigiani and J. A. Yorke. Expanding maps on sets which are almost invariant. Decay and chaos. Trans. Amer. Math. Soc. 252 (1979), 351-366.
    • (1979) Trans. Amer. Math. Soc. , vol.252 , pp. 351-366
    • Pianigiani, G.1    Yorke, J.A.2
  • 25
    • 0030510906 scopus 로고    scopus 로고
    • Positivity of entropy production in nonequilibrium statistical mechanics
    • D. Ruelle. Positivity of entropy production in nonequilibrium statistical mechanics. J. Stat. Phys. 85 (1996), 1-25.
    • (1996) J. Stat. Phys. , vol.85 , pp. 1-25
    • Ruelle, D.1
  • 26
    • 0001330962 scopus 로고    scopus 로고
    • Differentiation of SRB states
    • D. Ruelle. Differentiation of SRB states. Commun. Math. Phys. 189 (1997), 365-371.
    • (1997) Commun. Math. Phys. , vol.189 , pp. 365-371
    • Ruelle, D.1
  • 29
    • 0344233414 scopus 로고
    • Entropy functional (free energy) for dynamical systems and their random perturbations
    • Ed. K. Ito. North Holland, Amsterdam
    • Y. Takahashi. Entropy functional (free energy) for dynamical systems and their random perturbations. Stochastic Analysis (Proc. Taniguchi Int. Symp., Katata and Kyoto, 1982). Ed. K. Ito. North Holland, Amsterdam, 1984, pp. 437-467.
    • (1984) Stochastic Analysis (Proc. Taniguchi Int. Symp., Katata and Kyoto, 1982) , pp. 437-467
    • Takahashi, Y.1
  • 30
    • 0007348981 scopus 로고
    • Heteroclinic attractors: Time averages and moduli of topological conjugacy
    • F. Takens. Heteroclinic attractors: time averages and moduli of topological conjugacy. Bol. Soc. Brasil. Mat. 25 (1994), 107-120.
    • (1994) Bol. Soc. Brasil. Mat. , vol.25 , pp. 107-120
    • Takens, F.1
  • 32
    • 84966215243 scopus 로고
    • Some large deviations results for dynamical systems
    • L.-S. Young. Some large deviations results for dynamical systems. Trans. Amer. Math. Soc. 318 (1990), 525-543.
    • (1990) Trans. Amer. Math. Soc. , vol.318 , pp. 525-543
    • Young, L.-S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.