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Volumn 10, Issue 1, 1997, Pages 81-107

Stochastic stability versus localization in one-dimensional chaotic dynamical systems

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EID: 0007347089     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/10/1/006     Document Type: Article
Times cited : (19)

References (18)
  • 1
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    • On the spectra of randomly perturbed expanding maps
    • Baladi V and Young L-S 1993 On the spectra of randomly perturbed expanding maps Commun. Math. Phys. 156 355-85
    • (1993) Commun. Math. Phys. , vol.156 , pp. 355-385
    • Baladi, V.1    Young, L.-S.2
  • 2
    • 0007346833 scopus 로고
    • Small perturbations of chaotic dynamical systems
    • Blank M L 1989 Small perturbations of chaotic dynamical systems Usp. Mat. Nauk. 44 3-28
    • (1989) Usp. Mat. Nauk. , vol.44 , pp. 3-28
    • Blank, M.L.1
  • 3
    • 0041387195 scopus 로고
    • Ergodic properties of one method of computer modeling of chaotic dynamical systems
    • Blank M L 1989 Ergodic properties of one method of computer modeling of chaotic dynamical systems Mat. Zametki 45 3-12
    • (1989) Mat. Zametki , vol.45 , pp. 3-12
    • Blank, M.L.1
  • 4
    • 0042106494 scopus 로고
    • Chaotic mappings and stochastic Markov chains
    • IAMP-91, 6p
    • Blank M L 1992 Chaotic mappings and stochastic Markov chains Abstracts of Congress IAMP-91, 6p
    • (1992) Abstracts of Congress
    • Blank, M.L.1
  • 5
    • 0007427314 scopus 로고
    • Singular phenomena in chaotic dynamical systems
    • Blank M L 1993 Singular phenomena in chaotic dynamical systems Dokl. Akad. Nauk. (Russia) 328 7-11
    • (1993) Dokl. Akad. Nauk. (Russia) , vol.328 , pp. 7-11
    • Blank, M.L.1
  • 8
    • 0039094324 scopus 로고
    • Compactness of invariant densities for families of expanding, piecewise monotonie transformations
    • Gora P and Boyarsky A 1989 Compactness of invariant densities for families of expanding, piecewise monotonie transformations Canadian J. Math. 41 855-69
    • (1989) Canadian J. Math. , vol.41 , pp. 855-869
    • Gora, P.1    Boyarsky, A.2
  • 9
    • 0000819591 scopus 로고
    • Ergodic properties of invariant measures for piecewise monotonic transformations
    • Hofbauer F and Keller G 1982 Ergodic properties of invariant measures for piecewise monotonic transformations Math. Z. 180 119-40
    • (1982) Math. Z. , vol.180 , pp. 119-140
    • Hofbauer, F.1    Keller, G.2
  • 10
    • 0000668794 scopus 로고
    • A Monte Carlo approach to the approximation of invariant measures
    • Hunt F 1994 A Monte Carlo approach to the approximation of invariant measures Random Comput. Dynam. 2 111-33
    • (1994) Random Comput. Dynam. , vol.2 , pp. 111-133
    • Hunt, F.1
  • 11
    • 0001510122 scopus 로고
    • Stochastic stability in some chaotic dynamical systems
    • Keller G 1982 Stochastic stability in some chaotic dynamical systems Mh. Math. 94 313-33
    • (1982) Mh. Math. , vol.94 , pp. 313-333
    • Keller, G.1
  • 14
    • 0001062377 scopus 로고
    • Finite approximation for the Frobenius- Perron operator. A solution to Ulam's conjecture
    • Li T Y 1976 Finite approximation for the Frobenius- Perron operator. A solution to Ulam's conjecture J. Approx. Th. 17 177-86
    • (1976) J. Approx. Th. , vol.17 , pp. 177-186
    • Li, T.Y.1
  • 15
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    • On the existence of invariant measures for piecewise monotone transformations
    • Lasota A and Yorke J A 1973 On the existence of invariant measures for piecewise monotone transformations Trans. Am. Math. Soc. 186 481-8
    • (1973) Trans. Am. Math. Soc. , vol.186 , pp. 481-488
    • Lasota, A.1    Yorke, J.A.2
  • 16
    • 84972576366 scopus 로고
    • Random iteration of one-dimensional transformations
    • Morita T 1985 Random iteration of one-dimensional transformations Osaka J. Math. 22 489-518
    • (1985) Osaka J. Math. , vol.22 , pp. 489-518
    • Morita, T.1
  • 17
    • 0001063664 scopus 로고
    • Invariant densities for random maps of the interval
    • Pelikan S 1984 Invariant densities for random maps of the interval Trans. Am. Math. Soc. 281 813-25
    • (1984) Trans. Am. Math. Soc. , vol.281 , pp. 813-825
    • Pelikan, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.