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Volumn 12, Issue 1, 1999, Pages 79-101

Using Ulam's method to calculate entropy and other dynamical invariants

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EID: 0032623230     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/12/1/006     Document Type: Article
Times cited : (35)

References (17)
  • 1
    • 0003823726 scopus 로고
    • Equilibrium states and the ergodic theory of Anosov diffeomorphisms
    • Berlin: Springer
    • Bowen R 1975 Equilibrium states and the ergodic theory of Anosov diffeomorphisms Lecture Notes in Mathematics 470 (Berlin: Springer)
    • (1975) Lecture Notes in Mathematics 470
    • Bowen, R.1
  • 2
    • 0009373943 scopus 로고
    • A matrix method for estimating the Liapunov exponent of one-dimensional systems
    • Boyarsky A 1988 A matrix method for estimating the Liapunov exponent of one-dimensional systems J. Stat. Phys. 50213-29
    • (1988) J. Stat. Phys. , pp. 50213-50229
    • Boyarsky, A.1
  • 3
    • 84971847796 scopus 로고
    • Smooth Markov partitions and toral automorphisms
    • Cawley E 1991 Smooth Markov partitions and toral automorphisms Ergod. Theor. Dynam. Syst. 11 633-51
    • (1991) Ergod. Theor. Dynam. Syst. , vol.11 , pp. 633-651
    • Cawley, E.1
  • 4
    • 0001120807 scopus 로고
    • Decay of correlations in a chaotic measure-preserving transformation
    • Crawford J and Cary J 1983 Decay of correlations in a chaotic measure-preserving transformation Physica D 6 223-32
    • (1983) Physica D , vol.6 , pp. 223-232
    • Crawford, J.1    Cary, J.2
  • 5
    • 0002626691 scopus 로고    scopus 로고
    • Finite approximations of Frobenius-Perron operators, a solution of Ulam's conjecture to multi-dimensional transformations
    • Ding J and Zhou A 1996 Finite approximations of Frobenius-Perron operators, a solution of Ulam's conjecture to multi-dimensional transformations Physica D 92 61-8
    • (1996) Physica D , vol.92 , pp. 61-68
    • Ding, J.1    Zhou, A.2
  • 7
    • 0001293196 scopus 로고
    • Finite approximation of Sinai-Bowen-Ruelle measures of anosov systems in two dimensions
    • Froyland G 1995 Finite approximation of Sinai-Bowen-Ruelle measures of Anosov systems in two dimensions Rand. Comput. Dynam. 3 251-64
    • (1995) Rand. Comput. Dynam. , vol.3 , pp. 251-264
    • Froyland, G.1
  • 8
    • 0031494864 scopus 로고    scopus 로고
    • Computer-assisted hounds for the rate of decay of correlations
    • Froyland G 1997 Computer-assisted hounds for the rate of decay of correlations Commun. Math. Phys. 189 237-57
    • (1997) Commun. Math. Phys. , vol.189 , pp. 237-257
    • Froyland, G.1
  • 9
    • 0001468515 scopus 로고
    • Estimation of Lyapunov exponents of dynamical systems using a spatial average
    • Froyland G, Judd K and Mees A I 1995 Estimation of Lyapunov exponents of dynamical systems using a spatial average Phys. Rev. E 51 2844-55
    • (1995) Phys. Rev. E , vol.51 , pp. 2844-2855
    • Froyland, G.1    Judd, K.2    Mees A. I3
  • 10
    • 0003195540 scopus 로고
    • Introduction to the modern theory of dynamical systems
    • Cambridge: Cambridge University Press
    • Katok A and Hasselblatt B 1995 Introduction to the modern theory of dynamical systems Encyclopedia of Mathematics and its Applications vol 54 (Cambridge: Cambridge University Press)
    • (1995) Encyclopedia of Mathematics and Its Applications , vol.54
    • Katok, A.1    Hasselblatt, B.2
  • 12
    • 0003267742 scopus 로고
    • Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations
    • Cambridge: Cambridge University Press
    • Palis J and Takens F 1993 Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations Cambridge Studies in Advanced Mathematics vol 35 (Cambridge: Cambridge University Press)
    • (1993) Cambridge Studies in Advanced Mathematics , vol.35
    • Palis, J.1    Takens, F.2
  • 15
    • 0000809231 scopus 로고
    • A measure associated with axiom-A attractors
    • Ruelle D 1976 A measure associated with axiom-A attractors Am. J. Math. 98 619-54
    • (1976) Am. J. Math. , vol.98 , pp. 619-654
    • Ruelle, D.1
  • 16
    • 0141774921 scopus 로고
    • The thermodynamic formalism for expanding maps
    • Ruelle D 1989 The thermodynamic formalism for expanding maps Commun. Math. Phys. 125 239-62
    • (1989) Commun. Math. Phys. , vol.125 , pp. 239-262
    • Ruelle, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.