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Volumn 7, Issue 1, 1997, Pages 12-20

Pesin's dimension for Poincaré recurrences

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EID: 21744462351     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.166237     Document Type: Article
Times cited : (57)

References (19)
  • 1
    • 0000713340 scopus 로고
    • Connection between recurrence-time statistics and anomalous transport
    • G. M. Zaslavsky and M. K. Tippelt, "Connection between recurrence-time statistics and anomalous transport," Phys. Rev. Lett. 67, 3251-3254 (1991).
    • (1991) Phys. Rev. Lett. , vol.67 , pp. 3251-3254
    • Zaslavsky, G.M.1    Tippelt, M.K.2
  • 2
    • 33744602902 scopus 로고    scopus 로고
    • Self-similarity, renormalization and phase space nonuniformity of Hamiltonian chaotic dynamics
    • G. M. Zaslavsky, M. Edelman, and B. A. Niyazov, "Self-similarity, renormalization and phase space nonuniformity of Hamiltonian chaotic dynamics," Chaos 7, 159-181 (1997).
    • (1997) Chaos , vol.7 , pp. 159-181
    • Zaslavsky, G.M.1    Edelman, M.2    Niyazov, B.A.3
  • 5
    • 0003752857 scopus 로고
    • Probability and related topics in physical science
    • Interscience, London
    • M. Kac, "Probability and related topics in physical science," in Lectures in Applied Mathematics (Interscience, London, 1957).
    • (1957) Lectures in Applied Mathematics
    • Kac, M.1
  • 7
    • 0002489898 scopus 로고
    • Über das lineare Mass for punkt mengen-eineverallgemeinerung das längenbegriffs
    • C. Carathéodory, "Über das lineare Mass for punkt mengen-eineverallgemeinerung das längenbegriffs," Nach. Ges. Wiss. Göttingen 406-426 (1914).
    • (1914) Nach. Ges. Wiss. Göttingen , pp. 406-426
    • Carathéodory, C.1
  • 8
    • 0001334913 scopus 로고
    • Dimension type characteristics for invariant sets of dynamical systems
    • Ya. Pesin, "Dimension type characteristics for invariant sets of dynamical systems," Russ. Math. Surveys 43, 111-151 (1988).
    • (1988) Russ. Math. Surveys , vol.43 , pp. 111-151
    • Pesin, Ya.1
  • 9
    • 0039792757 scopus 로고
    • Generalized spectrum for dimensions: The approach based on Carathéodory construction
    • edited by T. Russias World Scientific, Singapore
    • Ya. Pesin, "Generalized spectrum for dimensions: The approach based on Carathéodory construction," in Constantin Carathéodory, an International Tribute, edited by T. Russias (World Scientific, Singapore, 1991), Vol. 2, pp. 1108-1119.
    • (1991) Constantin Carathéodory, An International Tribute , vol.2 , pp. 1108-1119
    • Pesin, Ya.1
  • 14
    • 0001635627 scopus 로고
    • Über die simultanen diophantischen approximaton
    • V. Jamik, "Über die simultanen diophantischen approximaton," Math. J. 33, 505-543 (1931).
    • (1931) Math. J. , vol.33 , pp. 505-543
    • Jamik, V.1
  • 17
    • 33646727744 scopus 로고
    • Disjoints in ergodic theory: Minimal sets and the problem in diophantine approximation
    • H. Fürstenberg, "Disjoints in ergodic theory: Minimal sets and the problem in diophantine approximation," Math. Syst. Theory 1, 1-49 (1967).
    • (1967) Math. Syst. Theory , vol.1 , pp. 1-49
    • Fürstenberg, H.1
  • 18
    • 0001194019 scopus 로고
    • Global universality at the onset of chaos: Results of a forced Rayleigh-Bénard experiment
    • M. H. Jensen, L. P. Kadanoff, A. Libchaber, I. Procaccia, and J. Stavans, "Global universality at the onset of chaos: Results of a forced Rayleigh-Bénard experiment," Phys. Rev. Lett. 55, 2798-2801 (1985).
    • (1985) Phys. Rev. Lett. , vol.55 , pp. 2798-2801
    • Jensen, M.H.1    Kadanoff, L.P.2    Libchaber, A.3    Procaccia, I.4    Stavans, J.5
  • 19
    • 0346372923 scopus 로고
    • The infinite number of generalized dimensions of fractals and strange attractors
    • H. G. E. Hentschel and I. Procaccia, "The infinite number of generalized dimensions of fractals and strange attractors," Physica D 8, 435-444 (1983).
    • (1983) Physica D , vol.8 , pp. 435-444
    • Hentschel, H.G.E.1    Procaccia, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.