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Volumn 357, Issue 10, 2005, Pages 4131-4140

Nonuniform hyperbolicity for singular hyperbolic attractors

Author keywords

3 flows; Nonuniform hyperbolicity; Singular attractors

Indexed keywords


EID: 26444477005     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-04-03706-7     Document Type: Article
Times cited : (4)

References (12)
  • 1
    • 0010206322 scopus 로고
    • Persistently Transitive Vector Fields on Three-dimensional Manifolds
    • Dynamical Systems and Bifurcation Theory MR0907891 (89c:58111)
    • C. Doering. Persistently Transitive Vector Fields on Three-dimensional Manifolds. Dynamical Systems and Bifurcation Theory. Pitman Research Notes in Math. Series. 160, 59-89. 1987. MR0907891 (89c:58111)
    • (1987) Pitman Research Notes in Math. Series , vol.160 , pp. 59-89
    • Doering, C.1
  • 2
    • 0003372424 scopus 로고
    • A strange strange attractor
    • [G]. The Hopf bifurcation and its applications. Marsden, J. and McCracken (Eds.), Springer Verlag. Berlin. MR0494309 (58:13209)
    • [G] J. Guckenheimer. A strange strange attractor. In: The Hopf bifurcation and its applications. Marsden, J. and McCracken (Eds.). Applied Mathematical Series 9, Springer Verlag. Berlin, 1976. MR0494309 (58:13209)
    • (1976) Applied Mathematical Series , vol.9
    • Guckenheimer, J.1
  • 3
    • 0039102898 scopus 로고
    • Dynamical systems with nonuniform hyperbolic behavior. Supplement in KATOK and HASSELBLATT
    • [KM]. Cambridge University Press. MR1326374 (96c:58055)
    • [KM] A. Katok and L. Mendoza. Dynamical Systems with Nonuniform Hyperbolic Behavior. Supplement in KATOK AND HASSELBLATT, Introduction to the Modern Theory of Dynamical Systems. Cambridge University Press. 1995. MR1326374 (96c:58055)
    • (1995) Introduction to the Modern Theory of Dynamical Systems
    • Katok, A.1    Mendoza, L.2
  • 6
    • 22844453883 scopus 로고    scopus 로고
    • Singular Hyperbolic Systems
    • [MPP]. MR1610761 (2000c:37034)
    • [MPP] C. Morales, M. J. Pacifico and E. Pujals. Singular Hyperbolic Systems. Proc. Amer. Math. Soc. 127, 3393-3401. 1999. MR1610761 (2000c:37034)
    • (1999) Proc. Amer. Math. Soc. , vol.127 , pp. 3393-3401
    • Morales, C.1    Pacifico, M.J.2    Pujals, E.3
  • 8
    • 84927987560 scopus 로고
    • Families of invariant manifolds corresponding to non-zero characteristic exponents
    • [P]. MR0458490 (56:16690)
    • [P] Ya. Pesin. Families of Invariant Manifolds Corresponding to non-zero Characteristic Exponents. Math. USSR-Izv. 10, 1261-1305. 1976. MR0458490 (56:16690)
    • (1976) Math. USSR-Izv. , vol.10 , pp. 1261-1305
    • Pesin, Ya.1
  • 9
    • 84966234619 scopus 로고
    • Ergodic Attractors
    • [PS]. MR0983869 (90h:58057)
    • [PS] C. Pugh and M. Shub. Ergodic Attractors. Trans. Amer. Math. Soc. 312. 1989. MR0983869 (90h:58057)
    • (1989) Trans. Amer. Math. Soc. , vol.312
    • Pugh, C.1    Shub, M.2
  • 10
    • 84983697999 scopus 로고
    • Functional Analysis
    • [RN]. MR1068530 (91g:00002)
    • [RN] F. Riez and B. Nagy. Functional Analysis. Dover Publ. 1990. MR1068530 (91g:00002)
    • (1990) Dover Publ.
    • Riez, F.1    Nagy, B.2
  • 11
    • 0002223702 scopus 로고
    • Dynamical systems II
    • [S], Ya. G. Sinai (Ed.) Springer-Verlag. Berlin. MR1024068 (91i:58079)
    • [S] Ya. Sinai. Dynamical Systems II. Encyclopedia of Mathematical Science vol. 2, Ya. G. Sinai (Ed.) Springer-Verlag. Berlin, 1989. MR1024068 (91i:58079)
    • (1989) Encyclopedia of Mathematical Science , vol.2
    • Sinai, Ya.1
  • 12
    • 0040845429 scopus 로고    scopus 로고
    • Dynamics: A Probabilistic and Geometric Perspective
    • [V]. Extra volume, ICM. MR1648047 (99h:58114)
    • [V] M. Viana. Dynamics: A Probabilistic and Geometric Perspective. Documenta Mathematica. Extra volume, ICM 1998. MR1648047 (99h:58114)
    • (1998) Documenta Mathematica
    • Viana, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.