메뉴 건너뛰기




Volumn 16, Issue 1, 1996, Pages 159-178

Measure of minimal sets of polymodal maps

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030532937     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0143385700008750     Document Type: Article
Times cited : (14)

References (25)
  • 1
    • 0011613307 scopus 로고
    • Measure of solenoidal attractors of unimodal maps of the interval
    • A. M. Blokh and M. Yu. Lyubich. Measure of solenoidal attractors of unimodal maps of the interval. Math. Notes 48(5) (1990), 15-20.
    • (1990) Math. Notes , vol.48 , Issue.5 , pp. 15-20
    • Blokh, A.M.1    Lyubich, M.Yu.2
  • 2
    • 84974201247 scopus 로고
    • Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems: 2. The smooth case
    • A. M. Blokh and M Yu. Lyubich. Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems: 2. The smooth case. Ergod. Th. & Dynam. Sys. 9 (1989), 751-758.
    • (1989) Ergod. Th. & Dynam. Sys. , vol.9 , pp. 751-758
    • Blokh, A.M.1    Lyubich, M.Yu.2
  • 3
    • 0000432564 scopus 로고
    • Measure and dimension of solenoidal attractors of one dimensional dynamical systems
    • A. M. Bokh and M. Yu. Lyubich. Measure and dimension of solenoidal attractors of one dimensional dynamical systems. Commun. Math. Phys. 127 (1990), 573-583.
    • (1990) Commun. Math. Phys. , vol.127 , pp. 573-583
    • Bokh, A.M.1    Lyubich, M.Yu.2
  • 4
    • 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. Sci. E.N.S., serie 4e 24 (1991), 545-573.
    • (1991) Ann. Sci. E.N.S., Serie 4E , vol.24 , pp. 545-573
    • Blokh, A.M.1    Lyubich, M.Yu.2
  • 5
    • 0005639386 scopus 로고
    • On decomposition of one-dimensional dynamical systems into ergodic components. The case of negative schwarzian
    • A. M. Blokh and M. Yu. Lyubich. On decomposition of one-dimensional dynamical systems into ergodic components. The case of negative schwarzian. Leningrad Math. J. 1(1) (1990).
    • (1990) Leningrad Math. J. , vol.1 , Issue.1
    • Blokh, A.M.1    Lyubich, M.Yu.2
  • 6
    • 0040827369 scopus 로고
    • Absorbing Cantor sets in dynamical systems: Fibonacci maps
    • Preprint, 2
    • H. Bruin, G. Keller, T. Nowicki and S. van Strien. Absorbing Cantor sets in dynamical systems: Fibonacci maps. Preprint, Stony Brook (2/1994).
    • (1994) Stony Brook
    • Bruin, H.1    Keller, G.2    Nowicki, T.3    Van Strien, S.4
  • 7
    • 0011677944 scopus 로고    scopus 로고
    • Limit sets of S-unimodal maps with zero entropy
    • J. Guckenheimer. Limit sets of S-unimodal maps with zero entropy. Commun. Math. Phys. 110
    • Commun. Math. Phys. , vol.110
    • Guckenheimer, J.1
  • 8
    • 0039048803 scopus 로고
    • Distortion of S-unimodal maps
    • J. Guckenheimer and S. Johnson. Distortion of S-unimodal maps. Ann. Math. 132 (1990), 171-130.
    • (1990) Ann. Math. , vol.132 , pp. 171-1130
    • Guckenheimer, J.1    Johnson, S.2
  • 9
    • 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. Inst. Henri Poincare 53(4) (1990), 413-425.
    • (1990) Ann. Inst. Henri Poincare , vol.53 , Issue.4 , pp. 413-425
    • Hofbauer, F.1    Keller, G.2
  • 10
    • 0000700763 scopus 로고
    • Metric properties of non-renormalizable S-unimodal maps I: Induced expansion and invariant measures
    • M. Jacobson and G. Swiatek. Metric properties of non-renormalizable S-unimodal maps I: induced expansion and invariant measures. Ergod. Th. & Dynam. Sys. 14 (1994), 721-755.
    • (1994) Ergod. Th. & Dynam. Sys. , vol.14 , pp. 721-755
    • Jacobson, M.1    Swiatek, G.2
  • 11
    • 84971960550 scopus 로고
    • Exponents, attractors and Hopf decomposition for interval maps
    • G. Keller. Exponents, attractors and Hopf decomposition for interval maps. Ergod. Th. & Dynam. Sys. 10 (1990), 717-744.
    • (1990) Ergod. Th. & Dynam. Sys. , vol.10 , pp. 717-744
    • Keller, G.1
  • 12
    • 84974306827 scopus 로고
    • Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems: 1. The case of negative schwarzian derivative
    • M. Yu. Lyubich. Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems: 1. The case of negative schwarzian derivative. Ergod. Th. & Dynam. Sys. 9 (1989), 737-749.
    • (1989) Ergod. Th. & Dynam. Sys. , vol.9 , pp. 737-749
    • Lyubich, M.Yu.1
  • 13
    • 0039640912 scopus 로고
    • Ergodic theory for smooth one-dimensional dynamical systems
    • Preprint
    • M. Lyubich. Ergodic theory for smooth one-dimensional dynamical systems. Preprint IMS Stony Brook 11 (1991).
    • (1991) IMS Stony Brook , vol.11
    • Lyubich, M.1
  • 14
    • 0001298363 scopus 로고
    • Combinatorics, geometry and attractors of quasi-quadratic maps
    • M. Yu. Lyubich. Combinatorics, geometry and attractors of quasi-quadratic maps. Ann. Math. 140 (1994), 347-404.
    • (1994) Ann. Math. , vol.140 , pp. 347-404
    • Lyubich, M.Yu.1
  • 15
    • 84968502739 scopus 로고
    • The unimodal fibonacci map
    • M. Yu. Lyubich and J. Milnor. The unimodal Fibonacci map. J. AMS 6 (1993), 425-557.
    • (1993) J. AMS , vol.6 , pp. 425-557
    • Lyubich, M.Yu.1    Milnor, J.2
  • 16
    • 34250112903 scopus 로고
    • Hyperbolicity, sinks and measure in one dimensional dynamics
    • R. Mañé. Hyperbolicity, sinks and measure in one dimensional dynamics. Commun. Math. Phys. 100 (1985), 495-524.
    • (1985) Commun. Math. Phys. , vol.100 , pp. 495-524
    • Mañé, R.1
  • 17
    • 0001147837 scopus 로고
    • Distortion results and invariant Cantor sets of unimodal maps
    • M. Martens. Distortion results and invariant Cantor sets of unimodal maps. Ergod. Th. & Dynam. Sys. 14 (1994), 331-349.
    • (1994) Ergod. Th. & Dynam. Sys. , vol.14 , pp. 331-349
    • Martens, M.1
  • 19
    • 34250112778 scopus 로고
    • On the concept of attractor
    • J. Milnor. On the concept of attractor. Commun. Math. Phys. 99 (1985), 177-195; 102 (1985), 517-519.
    • (1985) Commun. Math. Phys. , vol.99 , pp. 177-195
    • Milnor, J.1
  • 20
    • 0001996785 scopus 로고
    • J. Milnor. On the concept of attractor. Commun. Math. Phys. 99 (1985), 177-195; 102 (1985), 517-519.
    • (1985) Commun. Math. Phys. , vol.102 , pp. 517-519
  • 21
    • 0001039409 scopus 로고
    • A structure theorem in one-dimensional dynamics
    • W. de Melo and S.J. van Strien. A structure theorem in one-dimensional dynamics. Ann. Math. 129 (1989), 519-546.
    • (1989) Ann. Math. , vol.129 , pp. 519-546
    • De Melo, W.1    Van Strien, S.J.2
  • 23
    • 34249962774 scopus 로고
    • 2 interval maps satisfying the Misiurewicz condiction
    • 2 interval maps satisfying the Misiurewicz condiction. Commun. Math. Phys. 128 (1990), 437-495.
    • (1990) Commun. Math. Phys. , vol.128 , pp. 437-495
    • Van Strien, S.J.1
  • 24
    • 0040827366 scopus 로고
    • Markov partition in non hyperbolic interval dynamics
    • E. Vargas. Markov partition in non hyperbolic interval dynamics. Commun. Math. Phys. 138 (1991), 521-535.
    • (1991) Commun. Math. Phys. , vol.138 , pp. 521-535
    • Vargas, E.1
  • 25
    • 0039048800 scopus 로고
    • Bifurcation frequency for unimodal maps
    • E. Vargas. Bifurcation frequency for unimodal maps. Commun. Math. Phys. 41 (1991), 633-650.
    • (1991) Commun. Math. Phys. , vol.41 , pp. 633-650
    • Vargas, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.