메뉴 건너뛰기




Volumn 28, Issue 4, 2008, Pages 1049-1080

The boundary of hyperbolicity for Hénon-like families

Author keywords

[No Author keywords available]

Indexed keywords


EID: 47249159390     PISSN: 01433857     EISSN: 14694417     Source Type: Journal    
DOI: 10.1017/S0143385707000776     Document Type: Article
Times cited : (24)

References (20)
  • 1
    • 47249125547 scopus 로고    scopus 로고
    • Personal communication
    • E. Bedford. Personal communication, 2005.
    • (2005)
    • Bedford, E.1
  • 2
  • 3
    • 15744371234 scopus 로고    scopus 로고
    • Real polynomial diffeomorphisms with maximal entropy: Tangencies
    • E. Bedford and J. Smillie. Real polynomial diffeomorphisms with maximal entropy: Tangencies. Ann. Math. 160 (2004), 1-26.
    • (2004) Ann. Math , vol.160 , pp. 1-26
    • Bedford, E.1    Smillie, J.2
  • 4
    • 33749371086 scopus 로고    scopus 로고
    • Real polynomial diffeomorphisms with maximal entropy: II. Small Jacobian
    • E. Bedford and J. Smillie. Real polynomial diffeomorphisms with maximal entropy: II. Small Jacobian. Ergod. Th. & Dynam. Sys. 26(5) (2006), 1259-1283.
    • (2006) Ergod. Th. & Dynam. Sys , vol.26 , Issue.5 , pp. 1259-1283
    • Bedford, E.1    Smillie, J.2
  • 5
    • 0001870459 scopus 로고
    • The dynamics of the Heńon map
    • M. Benedicks and L. Carleson. The dynamics of the Heńon map. Ann. of Math. 133 (1991), 73-169.
    • (1991) Ann. of Math , vol.133 , pp. 73-169
    • Benedicks, M.1    Carleson, L.2
  • 6
    • 0035587012 scopus 로고    scopus 로고
    • Solution of the basin problem for Hénon-like attractors
    • M. Benedicks and M. Viana. Solution of the basin problem for Hénon-like attractors. Invent. Math. 143(2) (2001), 375-434.
    • (2001) Invent. Math , vol.143 , Issue.2 , pp. 375-434
    • Benedicks, M.1    Viana, M.2
  • 7
    • 0040801873 scopus 로고    scopus 로고
    • M. Benedicks and L.-S. Young. Markov extensions and decay of correlations for certain Hénon maps. Astérisque (261) (2000), xi, 13-56 (English, with English and French summaries). Géométrie complexe et systèmes dynamiques (Orsay, 1995) 0303-1179..
    • M. Benedicks and L.-S. Young. Markov extensions and decay of correlations for certain Hénon maps. Astérisque (261) (2000), xi, 13-56 (English, with English and French summaries). Géométrie complexe et systèmes dynamiques (Orsay, 1995) 0303-1179..
  • 8
    • 33845317713 scopus 로고
    • Sinaï-Bowen-Ruelle measures for certain Hénon. maps
    • M. Benedicks and L.-S. Young. Sinaï-Bowen-Ruelle measures for certain Hénon. maps. Invent. Math. 112(3) (1993), 541-576.
    • (1993) Invent. Math , vol.112 , Issue.3 , pp. 541-576
    • Benedicks, M.1    Young, L.-S.2
  • 9
    • 33745228447 scopus 로고    scopus 로고
    • A non-hyperbolic system with strictly non-zero Lyapunov exponents for all invariant measures
    • Y. Cao, S. Luzzatto and I. Rios. A non-hyperbolic system with strictly non-zero Lyapunov exponents for all invariant measures. Disc. & Cont. Dyn. Syst. 15(1) (2006), 61-71.
    • (2006) Disc. & Cont. Dyn. Syst , vol.15 , Issue.1 , pp. 61-71
    • Cao, Y.1    Luzzatto, S.2    Rios, I.3
  • 10
    • 0000671077 scopus 로고
    • Shift automorphisms in the Hénon mapping
    • R. Devaney and Z. Nitecki. Shift automorphisms in the Hénon mapping. Comm. Math. Phys. 67(2) (1979), 137-146.
    • (1979) Comm. Math. Phys , vol.67 , Issue.2 , pp. 137-146
    • Devaney, R.1    Nitecki, Z.2
  • 11
    • 0002591468 scopus 로고
    • A two-dimensional mapping with, a strange attractor
    • M. Hénon. A two-dimensional mapping with, a strange attractor. Comm. Math. Phys. 50 (1976), 69-77.
    • (1976) Comm. Math. Phys , vol.50 , pp. 69-77
    • Hénon, M.1
  • 12
    • 30944462612 scopus 로고    scopus 로고
    • Stable manifolds under very weak hyperbolicky conditions
    • M. Holland and S. Luzzatto. Stable manifolds under very weak hyperbolicky conditions. J. Differential Equations 221(2) (2006), 444-469.
    • (2006) J. Differential Equations , vol.221 , Issue.2 , pp. 444-469
    • Holland, M.1    Luzzatto, S.2
  • 13
    • 2442561557 scopus 로고    scopus 로고
    • Parameter exclusions in Hénon-like systems
    • S. Luzzatto and M. Viana. Parameter exclusions in Hénon-like systems. Russian Math. Surveys 58(6) (2003), 1053-1092.
    • (2003) Russian Math. Surveys , vol.58 , Issue.6 , pp. 1053-1092
    • Luzzatto, S.1    Viana, M.2
  • 15
    • 0242344635 scopus 로고
    • Abundance of strange attractors
    • L. Mora and M. Viana. Abundance of strange attractors. Acta Math. 171(1) (1993), 1-71.
    • (1993) Acta Math , vol.171 , Issue.1 , pp. 1-71
    • Mora, L.1    Viana, M.2
  • 16
    • 0038434713 scopus 로고
    • A multiplicative ergodic theorem. Characteristic Ljapunov exponents of dynamical systems
    • V. I. Oseledec. A multiplicative ergodic theorem. Characteristic Ljapunov exponents of dynamical systems. Trans. Moscow Math. Soc. 19 (1968), 179-210.
    • (1968) Trans. Moscow Math. Soc , vol.19 , pp. 179-210
    • Oseledec, V.I.1
  • 18
    • 84927987560 scopus 로고
    • Families of invariant manifolds corresponding to non-zero characteristic exponents
    • Ya. Pesin. Families of invariant manifolds corresponding to non-zero characteristic exponents. Math. USSR. Izv. 10 (1976), 1261-1302.
    • (1976) Math. USSR. Izv , vol.10 , pp. 1261-1302
    • Pesin, Y.1
  • 19
    • 84961291543 scopus 로고
    • Characteristic Lyapunov exponents and smooth ergodic theory
    • Ya. B. Pesin. Characteristic Lyapunov exponents and smooth ergodic theory. Russian Math. Surveys 324(1977), 55-114.
    • (1977) Russian Math. Surveys , vol.324 , pp. 55-114
    • Pesin, Y.B.1
  • 20
    • 0035531747 scopus 로고    scopus 로고
    • Strange attractors with one direction of instability
    • Q. Wang and L.-S. Young. Strange attractors with one direction of instability. Comm. Math. Phys. 218(1) (2001), 1-97.
    • (2001) Comm. Math. Phys , vol.218 , Issue.1 , pp. 1-97
    • Wang, Q.1    Young, L.-S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.