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Volumn 13, Issue 2, 2005, Pages 469-490

Lyapunov exponents for continuous transformations and dimension theory

Author keywords

Lyapunov exponents; Multiplicative ergodic theorem

Indexed keywords


EID: 23844437390     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2005.13.469     Document Type: Article
Times cited : (20)

References (10)
  • 1
    • 0030490153 scopus 로고    scopus 로고
    • A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems
    • L. Barreira, A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems, Ergodic Theory Dynam. Systems 16 (1996), 871-927.
    • (1996) Ergodic Theory Dynam. Systems , vol.16 , pp. 871-927
    • Barreira, L.1
  • 2
    • 0347242246 scopus 로고    scopus 로고
    • Lyapunov exponents and smooth ergodic theory
    • Amer. Math. Soc.
    • L. Barreira and Ya. Pesin, Lyapunov Exponents and Smooth Ergodic Theory, University Lecture Series 23, Amer. Math. Soc., 2002.
    • (2002) University Lecture Series , vol.23
    • Barreira, L.1    Pesin, Y.2
  • 3
    • 85019490771 scopus 로고    scopus 로고
    • Smoothness of invariant manifolds for nonautonomous equations
    • to appear
    • L. Barreira and C. Valls, Smoothness of invariant manifolds for nonautonomous equations, Comm. Math. Phys., to appear.
    • Comm. Math. Phys.
    • Barreira, L.1    Valls, C.2
  • 5
    • 0000260838 scopus 로고
    • Dimension de Hausdorff des atracteurs
    • A. Douady and J. Oesterlé, Dimension de Hausdorff des atracteurs, C. R. Acad. Sci. Paris 290 (1980), 1135-1138.
    • (1980) C. R. Acad. Sci. Paris , vol.290 , pp. 1135-1138
    • Douady, A.1    Oesterlé, J.2
  • 6
    • 0003280184 scopus 로고
    • Invariant manifolds, entropy and billiards; Smooth maps with singularities
    • Springer
    • A. Katok and J.-M. Strelcyn, with the collaboration of F. Ledrappier and F. Przytycki, Invariant Manifolds, Entropy and Billiards; Smooth Maps with Singularities, Lect. Notes in Math. 1222, Springer, 1986.
    • (1986) Lect. Notes in Math. , vol.1222
    • Katok, A.1    Strelcyn, J.-M.2    Ledrappier, F.3    Przytycki, F.4
  • 7
    • 0011464210 scopus 로고
    • Characteristic exponents of dynamical systems in metric spaces
    • Y. Kifer, Characteristic exponents of dynamical systems in metric spaces, Ergodic Theory Dynam. Systems 3 (1983), 119-127.
    • (1983) Ergodic Theory Dynam. Systems , vol.3 , pp. 119-127
    • Kifer, Y.1
  • 8
    • 23844476245 scopus 로고    scopus 로고
    • On Lyapunov exponents for non-smooth dynamical systems with an application to a pendulum with dry friction
    • M. Kunze, On Lyapunov exponents for non-smooth dynamical systems with an application to a pendulum with dry friction, J. Dynam. Differential Equations 12 (2000), 31-116.
    • (2000) J. Dynam. Differential Equations , vol.12 , pp. 31-116
    • Kunze, M.1
  • 9
    • 0000543733 scopus 로고
    • A multiplicative ergodic theorem. Lyapunov characteristic numbers for dynamical systems
    • V. Oseledets, A multiplicative ergodic theorem. Lyapunov characteristic numbers for dynamical systems, Trans. Moscow Math. Soc. 19 (1968), 197-221.
    • (1968) Trans. Moscow Math. Soc. , vol.19 , pp. 197-221
    • Oseledets, V.1
  • 10
    • 0003406475 scopus 로고    scopus 로고
    • Dimension theory in dynamical systems: Contemporary views and applications
    • Chicago University Press
    • Ya. Pesin, Dimension theory in dynamical systems: contemporary views and applications, Chicago Lectures in Mathematics, Chicago University Press, 1997.
    • (1997) Chicago Lectures in Mathematics
    • Pesin, Ya.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.