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Volumn 143, Issue 1, 1996, Pages 97-130

Wild cantor attractors exist

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EID: 0030537370     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.2307/2118654     Document Type: Article
Times cited : (114)

References (37)
  • 2
    • 0001870459 scopus 로고
    • The dynamics of the Hénon map
    • M. BENEDICKS and L. CARLESON, The dynamics of the Hénon map, Ann. Math. 133(1991), 73-169.
    • (1991) Ann. Math. , vol.133 , pp. 73-169
    • Benedicks, M.1    Carleson, L.2
  • 3
    • 0039210196 scopus 로고
    • A horseshoe with positive measure
    • R. BOWEN, A horseshoe with positive measure, Invent. Math. 28(1975), 203-204.
    • (1975) Invent. Math. , vol.28 , pp. 203-204
    • Bowen, R.1
  • 4
    • 0001058412 scopus 로고
    • The iteration of cubic polynomials I
    • B. BRANNER and J. H. HUBBARD, The iteration of cubic polynomials I, Acta Math. 160, (1988), 143-206, The iteration of cubic polynomials II, Acta Math. 169(1992), 229-325.
    • (1988) Acta Math. , vol.160 , pp. 143-206
    • Branner, B.1    Hubbard, J.H.2
  • 5
    • 0346061454 scopus 로고
    • The iteration of cubic polynomials II
    • B. BRANNER and J. H. HUBBARD, The iteration of cubic polynomials I, Acta Math. 160, (1988), 143-206, The iteration of cubic polynomials II, Acta Math. 169(1992), 229-325.
    • (1992) Acta Math. , vol.169 , pp. 229-325
  • 6
    • 0001456877 scopus 로고
    • Measurable dynamics of s-unimodal maps of the interval
    • A. M. BLOKH and M. YU. LYUBICH, Measurable dynamics of S-unimodal maps of the interval, Ann. Sc. E.N.S. 4e série, 24(1991), 545-573.
    • (1991) Ann. Sc. E.N.S. 4e Série , vol.24 , pp. 545-573
    • Blokh, A.M.1    Lyubich, M.Yu.2
  • 9
    • 0009077570 scopus 로고
    • Sensitive dependence on initial conditions for one dimensional maps
    • J. GUCKENHEIMER, Sensitive dependence on initial conditions for one dimensional maps, Commun. Math. Phys. 70(1979), 133-160.
    • (1979) Commun. Math. Phys. , vol.70 , pp. 133-160
    • Guckenheimer, J.1
  • 10
    • 0039048803 scopus 로고
    • Distortion of S-unimodal maps
    • J. GUCKENHEIMER and S. JOHNSON, Distortion of S-unimodal maps, Ann. of Math., 132(1990), 71-130.
    • (1990) Ann. of Math. , vol.132 , pp. 71-130
    • Guckenheimer, J.1    Johnson, S.2
  • 11
    • 0013100014 scopus 로고
    • Some remarks on recent results about S-unimodal maps
    • F. HOFBAUER and G. KELLER, Some remarks on recent results about S-unimodal maps, Ann. Insitut Henri Poincaré, 53(1990), 413-425.
    • (1990) Ann. Insitut Henri Poincaré , vol.53 , pp. 413-425
    • Hofbauer, F.1    Keller, G.2
  • 14
    • 0002244777 scopus 로고
    • Open sets of diffeomorphisms having two attractors, each with an everywhere dense basin
    • I. KAN, Open sets of diffeomorphisms having two attractors, each with an everywhere dense basin, Bull. A.M.S. 31(1994), 68-74.
    • (1994) Bull. A.M.S. , vol.31 , pp. 68-74
    • Kan, I.1
  • 15
    • 84971960550 scopus 로고
    • Exponents, attractors, and hopf decompositions for interval maps
    • G. KELLER, Exponents, attractors, and Hopf decompositions for interval maps, Ergod. Th. & Dynam. Sys. 10(1990), 717-744.
    • (1990) Ergod. Th. & Dynam. Sys. , vol.10 , pp. 717-744
    • Keller, G.1
  • 17
    • 0039210203 scopus 로고
    • On the typical behaviour of trajectories of the exponent
    • M. Yu. LYUBICH, On the typical behaviour of trajectories of the exponent, Russian Math. Surveys 41(1986), 207-208.
    • (1986) Russian Math. Surveys , vol.41 , pp. 207-208
    • Lyubich, M.Yu.1
  • 18
    • 0009446696 scopus 로고
    • The measurable dynamics of the exponential map
    • _, The measurable dynamics of the exponential map, Siberian J. of Math. 28(1987), 111-127.
    • (1987) Siberian J. of Math. , vol.28 , pp. 111-127
  • 23
    • 84968502739 scopus 로고
    • The unimodal Fibonacci map
    • M. LYUBICH and J. MILNOR, The unimodal Fibonacci map, J. A.M.S. 6(1993), 425-457.
    • (1993) J. A.M.S. , vol.6 , pp. 425-457
    • Lyubich, M.1    Milnor, J.2
  • 24
    • 0039047497 scopus 로고
    • thesis, Interval dynamics, Delft
    • M. MARTENS, thesis, Interval dynamics, Delft, (1990).
    • (1990)
    • Martens, M.1
  • 25
    • 0001527258 scopus 로고
    • Julia-Fatou-Sullivan theory for real dynamics
    • M. MARTENS, W. DE MELO and S. VAN STRIEN, Julia-Fatou-Sullivan theory for real dynamics, Acta Math. 168(1992), 273-318.
    • (1992) Acta Math. , vol.168 , pp. 273-318
    • Martens, M.1    De Melo, W.2    Van Strien, S.3
  • 26
    • 34250112778 scopus 로고
    • On the concept of attractor
    • J. MILNOR, On the concept of attractor, Commun. Math. Phys. 99(1985), 177-195.
    • (1985) Commun. Math. Phys. , vol.99 , pp. 177-195
    • Milnor, J.1
  • 27
    • 51249183577 scopus 로고
    • Absolutely continuous invariant measures for certain maps of an interval
    • M. MISIUREWICZ, Absolutely continuous invariant measures for certain maps of an interval, Publ. Math. I.H.E.S. 53(1981), 17-51.
    • (1981) Publ. Math. I.H.E.S. , vol.53 , pp. 17-51
    • Misiurewicz, M.1
  • 29
  • 30
    • 0002046772 scopus 로고
    • Absolutely continuous invariant measures under a summability condition
    • T. NOWICKI and S. VAN STRIEN, Absolutely continuous invariant measures under a summability condition. Invent. Math. 105(1991), 123-136.
    • (1991) Invent. Math. , vol.105 , pp. 123-136
    • Nowicki, T.1    Van Strien, S.2
  • 31
    • 0038644304 scopus 로고
    • The exponential map is not recurrent
    • M. REES, The exponential map is not recurrent. Math. Z., 191(1986), 593-598.
    • (1986) Math. Z. , vol.191 , pp. 593-598
    • Rees, M.1
  • 32
    • 0004200722 scopus 로고
    • Academic Press, New York-San Francisco-London
    • W. F. STOUT, Almost Sure Convergence, Academic Press, New York-San Francisco-London (1974)
    • (1974) Almost Sure Convergence
    • Stout, W.F.1
  • 34
    • 34249962774 scopus 로고
    • 2 intervals maps satisfying the Misiurewicz condition
    • 2 intervals maps satisfying the Misiurewicz condition, Commun. Math. Phys. 128(1990), 437-496.
    • (1990) Commun. Math. Phys. , vol.128 , pp. 437-496
    • Van Strien, S.1
  • 36
    • 0013035195 scopus 로고
    • One-dimensional maps and Poincaré metric
    • G. ŚWIATEK, One-dimensional maps and Poincaré metric, Nonlinearity 5(1991), 81-108.
    • (1991) Nonlinearity , vol.5 , pp. 81-108
    • Światek, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.