메뉴 건너뛰기




Volumn 30, Issue 3, 2010, Pages 729-756

Coherent structures and isolated spectrum for Perron-Frobenius cocycles

Author keywords

[No Author keywords available]

Indexed keywords


EID: 77955853623     PISSN: 01433857     EISSN: 14694417     Source Type: Journal    
DOI: 10.1017/S0143385709000339     Document Type: Article
Times cited : (92)

References (32)
  • 2
    • 77955847771 scopus 로고    scopus 로고
    • Personal communication
    • V. Baladi. Personal communication, 1996.
    • (1996)
    • Baladi, V.1
  • 3
    • 0003218287 scopus 로고    scopus 로고
    • Positive transfer operators and decay of correlations
    • World Scientific Singapore
    • V. Baladi. Positive Transfer Operators and Decay of Correlations (Advanced Series in Nonlinear Dynamics, 16). World Scientific, Singapore, 2000.
    • (2000) Advanced Series in Nonlinear Dynamics , vol.16
    • Baladi, V.1
  • 4
    • 23844437390 scopus 로고    scopus 로고
    • Lyapunov exponents for continuous transformations and dimension theory
    • L. Barreira and C. Silva. Lyapunov exponents for continuous transformations and dimension theory. Discrete Contin. Dyn. Syst. 13 (2005), 469-490.
    • (2005) Discrete Contin. Dyn. Syst. , vol.13 , pp. 469-490
    • Barreira, L.1    Silva, C.2
  • 5
    • 0000162998 scopus 로고    scopus 로고
    • Random perturbations of chaotic dynamical systems: Stability of the spectrum
    • M. Blank and G. Keller. Random perturbations of chaotic dynamical systems: stability of the spectrum. Nonlinearity 11(5) (1998), 1351-1364.
    • (1998) Nonlinearity , vol.11 , Issue.5 , pp. 1351-1364
    • Blank, M.1    Keller., G.2
  • 6
    • 0041972697 scopus 로고    scopus 로고
    • Ruelle-Perron-Frobenius spectrum for Anosov maps
    • M. Blank, G. Keller and C. Liverani. Ruelle-Perron-Frobenius spectrum for Anosov maps. Nonlinearity 15(6) (2002), 1905-1973.
    • (2002) Nonlinearity , vol.15 , Issue.6 , pp. 1905-1973
    • Blank, M.1    Keller, G.2    Liverani., C.3
  • 7
    • 0002210006 scopus 로고    scopus 로고
    • Laws of chaos. Invariant measures and dynamical systems in one dimension
    • Birkhäuser Boston, Boston, MA
    • A. Boyarsky and P. Góra. Laws of chaos. Invariant measures and dynamical systems in one dimension. Probability and its Applications. Birkhäuser Boston, Boston, MA, 1997.
    • (1997) Probability and Its Applications
    • Boyarsky, A.1    Góra, P.2
  • 8
    • 0000371241 scopus 로고    scopus 로고
    • On the approximation of complicated dynamical behavior
    • M. Dellnitz and O. Junge. On the approximation of complicated dynamical behavior. SIAM J. Numer. Anal. 36(2) (1999), 491-515.
    • (1999) SIAM J. Numer. Anal. , vol.36 , Issue.2 , pp. 491-515
    • Dellnitz, M.1    Junge, O.2
  • 9
    • 0034215325 scopus 로고    scopus 로고
    • On the isolated spectrum of the Perron-Frobenius operator
    • M. Dellnitz, G. Froyland and S. Sertl. On the isolated spectrum of the Perron-Frobenius operator. Nonlinearity 13(4) (2000), 1171-1188.
    • (2000) Nonlinearity , vol.13 , Issue.4 , pp. 1171-1188
    • Dellnitz, M.1    Froyland, G.2    Sertl., S.3
  • 11
    • 0001753894 scopus 로고    scopus 로고
    • On the concept of stationary Lyapunov basis
    • S. Ershov and A. Potapov. On the concept of stationary Lyapunov basis. Phys. D 118 (1998), 167-198.
    • (1998) Phys. D , vol.118 , pp. 167-198
    • Ershov, S.1    Potapov., A.2
  • 12
    • 12244273732 scopus 로고    scopus 로고
    • Statistically optimal almost-invariant sets
    • G. Froyland. Statistically optimal almost-invariant sets. Phys. D 200(3-4) (2005), 205-219.
    • (2005) Phys. D , vol.200 , Issue.3-4 , pp. 205-219
    • Froyland., G.1
  • 13
    • 34247270832 scopus 로고    scopus 로고
    • On Ulam approximation of the isolated spectrum and eigenfunctions of hyperbolic maps
    • G. Froyland. On Ulam approximation of the isolated spectrum and eigenfunctions of hyperbolic maps. Discrete Contin. Dyn. Syst. 17 (2007), 671-689.
    • (2007) Discrete Contin. Dyn. Syst. , vol.17 , pp. 671-689
    • Froyland, G.1
  • 14
    • 41949106621 scopus 로고    scopus 로고
    • Unwrapping eigenfunctions to discover the geometry of almost-invariant sets in hyperbolic maps
    • G. Froyland. Unwrapping eigenfunctions to discover the geometry of almost-invariant sets in hyperbolic maps. Phys. D 237(6) (2008), 840-853.
    • (2008) Phys. D , vol.237 , Issue.6 , pp. 840-853
    • Froyland., G.1
  • 15
    • 0001468515 scopus 로고
    • Estimation of Lyapunov exponents of dynamical systems using a spatial average
    • G. Froyland, K. Judd and A. Mees. Estimation of Lyapunov exponents of dynamical systems using a spatial average. Phys. Rev. E (3) 51 (1995), 2844-2855.
    • (1995) Phys. Rev. e , vol.3 , Issue.51 , pp. 2844-2855
    • Froyland, G.1    Judd, K.2    Mees, A.3
  • 19
    • 30744463498 scopus 로고    scopus 로고
    • Banach spaces adapted to Anosov systems
    • S. Gouëzel and C. Liverani. Banach spaces adapted to Anosov systems. Ergod. Th. & Dynam. Sys. 26(1) (2006), 189-217.
    • (2006) Ergod. Th. & Dynam. Sys. , vol.26 , Issue.1 , pp. 189-217
    • Gouëzel, S.1    Liverani, C.2
  • 20
    • 0034823558 scopus 로고    scopus 로고
    • Distinguished material surfaces and coherent structures in three-dimensional fluid flows
    • G. Haller. Distinguished material surfaces and coherent structures in three-dimensional fluid flows. Phys. D 149(4) (2001), 248-277.
    • (2001) Phys. D , vol.149 , Issue.4 , pp. 248-277
    • Haller., G.1
  • 21
    • 0034547788 scopus 로고    scopus 로고
    • Lagrangian coherent structures and mixing in two-dimensional turbulence
    • G. Haller and G. Yuan. Lagrangian coherent structures and mixing in two-dimensional turbulence. Phys. D 147(3-4) (2000), 352-370.
    • (2000) Phys. D , vol.147 , Issue.3-4 , pp. 352-370
    • Haller, G.1    Yuan., G.2
  • 22
    • 0000819591 scopus 로고
    • Ergodic properties of invariant measures for piecewise monotonic transformations
    • F. Hofbauer and G. Keller. Ergodic properties of invariant measures for piecewise monotonic transformations. Math. Z. 180(1) (1982), 119-140.
    • (1982) Math. Z. , vol.180 , Issue.1 , pp. 119-140
    • Hofbauer, F.1    Keller, G.2
  • 23
    • 0001205169 scopus 로고
    • On the rate of convergence to equilibrium in one-dimensional systems
    • G. Keller. On the rate of convergence to equilibrium in one-dimensional systems. Comm. Math. Phys. 96(2) (1984), 181-193.
    • (1984) Comm. Math. Phys. , vol.96 , Issue.2 , pp. 181-193
    • Keller, G.1
  • 24
    • 4644295981 scopus 로고    scopus 로고
    • Eigenfunctions for smooth expanding circle maps
    • G. Keller and H. Rugh. Eigenfunctions for smooth expanding circle maps. Nonlinearity 17 (2004), 1723-1730.
    • (2004) Nonlinearity , vol.17 , pp. 1723-1730
    • Keller, G.1    Rugh., H.2
  • 25
    • 0348107022 scopus 로고    scopus 로고
    • Strange eigenmodes and decay of variance in the mixing of diffusive tracers
    • W. Liu and G. Haller. Strange eigenmodes and decay of variance in the mixing of diffusive tracers. Phys. D 188(1-2) (2004), 1-39.
    • (2004) Phys. D , vol.188 , Issue.1-2 , pp. 1-39
    • Liu, W.1    Haller., G.2
  • 26
    • 84966227493 scopus 로고
    • On the existence of invariant measures for piecewise monotonic transformations
    • A. Lasota and J. Yorke. On the existence of invariant measures for piecewise monotonic transformations. Trans. Amer. Math. Soc. 186 (1973), 481-488.
    • (1973) Trans. Amer. Math. Soc. , vol.186 , pp. 481-488
    • Lasota, A.1    Yorke, J.2
  • 27
    • 0037338052 scopus 로고    scopus 로고
    • Persistent patterns in deterministic mixing flows
    • A. Pikovsky and O. Popovych. Persistent patterns in deterministic mixing flows. Europhys. Lett. EPL 61(5) (2003), 625-631.
    • (2003) Europhys. Lett. EPL , vol.61 , Issue.5 , pp. 625-631
    • Pikovsky, A.1    Popovych, O.2
  • 28
    • 33947365569 scopus 로고    scopus 로고
    • Abnormal mixing of passive scalars in chaotic flows
    • O. Popovych, A. Pikovsky and B. Eckhardt. Abnormal mixing of passive scalars in chaotic flows. Phys. E 75 (2007).
    • (2007) Phys. e , vol.75
    • Popovych, O.1    Pikovsky, A.2    Eckhardt., B.3
  • 29
    • 0141774921 scopus 로고
    • The thermodynamic formalism for expanding maps
    • D. Ruelle. The thermodynamic formalism for expanding maps. Comm. Math. Phys. 125(2) (1989), 239-262.
    • (1989) Comm. Math. Phys. , vol.125 , Issue.2 , pp. 239-262
    • Ruelle, D.1
  • 30
    • 2442600512 scopus 로고    scopus 로고
    • Transfer operator approach to conformational dynamics in biomolecular systems
    • Preprint SC-99-136, Konrad-Zuse-Zentrum, Berlin, 1999. Appeared in Ed. B. Fiedler. Springer, Berlin
    • C. Schütte, W. Huisinga and P. Deuflhard. Transfer operator approach to conformational dynamics in biomolecular systems. Preprint SC-99-136, Konrad-Zuse-Zentrum, Berlin, 1999. Appeared in Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems. Ed. B. Fiedler. Springer, Berlin, 2001.
    • (2001) Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems
    • C. Schütte1
  • 31
    • 0032004557 scopus 로고    scopus 로고
    • Periodic orbits Lyapunov vectors and singular vectors in the Lorenz system
    • A. Trevisan and F. Pancotti. Periodic orbits, Lyapunov vectors, and singular vectors in the Lorenz system. J. Atmospheric Sci. 55 (1998), 390-399.
    • (1998) J. Atmospheric Sci. , vol.55 , pp. 390-399
    • Trevisan, A.1    Pancotti, F.2
  • 32
    • 84968516233 scopus 로고
    • A dynamical proof of the multiplicative ergodic theorem
    • P. Walters. A dynamical proof of the multiplicative ergodic theorem. Trans. Amer. Math. Soc. 335(1) (1993), 245-257.
    • (1993) Trans. Amer. Math. Soc. , vol.335 , Issue.1 , pp. 245-257
    • Walters, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.