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Volumn 11, Issue 2, 1998, Pages 307-317

Unique ergodicity and the approximation of attractors and their invariant measures using Ulam's method

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EID: 0039165658     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/11/2/007     Document Type: Article
Times cited : (16)

References (21)
  • 1
    • 21344475256 scopus 로고
    • Constructive approximations of invariant densities for families of piecewise expanding transformations
    • Boyarsky A, Gora P and Lou Y 1994 Constructive approximations of invariant densities for families of piecewise expanding transformations Constr. Approx. 10 1-13
    • (1994) Constr. Approx. , vol.10 , pp. 1-13
    • Boyarsky, A.1    Gora, P.2    Lou, Y.3
  • 7
    • 0002128214 scopus 로고
    • A closed range theorem for the Frobenius-Perron operator and its application to the spectral analysis
    • Ding J 1994 A closed range theorem for the Frobenius-Perron operator and its application to the spectral analysis J. Math. Anal. Appl. 187 1047-58
    • (1994) J. Math. Anal. Appl. , vol.187 , pp. 1047-1058
    • Ding, J.1
  • 9
    • 0032091761 scopus 로고    scopus 로고
    • Approximating physical invariant measures of mixing dynamical systems
    • to appear
    • Froyland G 1998 Approximating physical invariant measures of mixing dynamical systems Nonlinear Theory Methods Appl. to appear
    • (1998) Nonlinear Theory Methods Appl.
    • Froyland, G.1
  • 10
    • 0039094324 scopus 로고
    • Compactness of invariant densities for families of piecewise expanding monotonic transformations
    • Gora P and Boyarsky A 1989 Compactness of invariant densities for families of piecewise expanding monotonic transformations Can. J. Math. 41 855-69
    • (1989) Can. J. Math. , vol.41 , pp. 855-869
    • Gora, P.1    Boyarsky, A.2
  • 11
    • 0001664734 scopus 로고
    • On the approximation of invariant measures
    • Hunt F Y and Miller W M 1992 On the approximation of invariant measures J. Stat. Phys. 66 535-48
    • (1992) J. Stat. Phys. , vol.66 , pp. 535-548
    • Hunt, F.Y.1    Miller, W.M.2
  • 12
    • 0040605015 scopus 로고
    • Statistical properties of Maps
    • Jensen R V and Jessup E R 1986 Statistical properties of Maps J. Stat. Phys. 643 369-89
    • (1986) J. Stat. Phys. , vol.643 , pp. 369-389
    • Jensen, R.V.1    Jessup, E.R.2
  • 17
    • 0028530846 scopus 로고
    • Stability and approximation of invariant measures for a class of nonexpanding transformations
    • Miller W M 1994 Stability and approximation of invariant measures for a class of nonexpanding transformations Nonlinear Anal. Theory Methods Appl. 23 1013-25
    • (1994) Nonlinear Anal. Theory Methods Appl. , vol.23 , pp. 1013-1025
    • Miller, W.M.1
  • 18
    • 34250112778 scopus 로고
    • On the concept of attractor
    • Milnor J 1985 On the concept of attractor Commun. Math. Phys. 99 177-95
    • (1985) Commun. Math. Phys. , vol.99 , pp. 177-195
    • Milnor, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.