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Volumn 261, Issue , 2000, Pages 201-237

Positive Lyapunov exponents for Lorenz-like families with criticalities

Author keywords

Lorenz; Lorenz like maps and flows; Positive Lyapunov exponents

Indexed keywords


EID: 0038058271     PISSN: 03031179     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article
Times cited : (26)

References (16)
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    • On attracting structurally unstable limit sets of Lorenz type attractors
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    • Afraimovich, V.S.1    Bykov, V.V.2    Sil'nikov, L.P.3
  • 3
    • 0001870459 scopus 로고
    • The dynamics of the Hénon map
    • M. Benedicks and L. Carleson, The dynamics of the Hénon map, Annals of Math. 133 (1991), 73-169.
    • (1991) Annals of Math. , vol.133 , pp. 73-169
    • Benedicks, M.1    Carleson, L.2
  • 4
    • 0003223929 scopus 로고
    • On the abundance of aperiodic behaviour
    • P. Collet and J.-P. Eckmann, On the abundance of aperiodic behaviour, Comm. Math. Phys. 73 (1980), 115-160.
    • (1980) Comm. Math. Phys. , vol.73 , pp. 115-160
    • Collet, P.1    Eckmann, J.-P.2
  • 5
  • 6
    • 51649168546 scopus 로고
    • Structural stability of Lorenz attractors
    • J. Guckenheimer and R.F. Williams, Structural stability of Lorenz attractors, Publ. Math. IHES 50 (1979), 307-320.
    • (1979) Publ. Math. IHES , vol.50 , pp. 307-320
    • Guckenheimer, J.1    Williams, R.F.2
  • 7
    • 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
  • 8
    • 0002401988 scopus 로고
    • Two strange attractors with a simple structure
    • M. Hénon and Y. Pomeau, Two strange attractors with a simple structure, Lect. Notes in Math. 565 (1976), 29-68.
    • (1976) Lect. Notes in Math. , vol.565 , pp. 29-68
    • Hénon, M.1    Pomeau, Y.2
  • 9
    • 0002053804 scopus 로고
    • Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
    • M.V. Jakobson, Absolutely continuous invariant measures for one-parameter families of one-dimensional maps, Comm. in Math. Phys. (1981), 39-88.
    • (1981) Comm. in Math. Phys. , pp. 39-88
    • Jakobson, M.V.1
  • 11
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • E. N. Lorenz, Deterministic nonperiodic flow, J. Atmosph. Sci. 20 (1963), 130-141.
    • (1963) J. Atmosph. Sci. , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 12
    • 51249183577 scopus 로고
    • Absolutely continuous invariant measures for certain interval maps
    • M. Misiurewicz, Absolutely continuous invariant measures for certain interval maps, Publ. Math. IHES 53 (1981), 17-51.
    • (1981) Publ. Math. IHES , vol.53 , pp. 17-51
    • Misiurewicz, M.1
  • 14
    • 0001108114 scopus 로고
    • The dynamics of perturbations of the contracting Lorenz attractor
    • A. Rovella, The dynamics of perturbations of the contracting Lorenz attractor, Bull. Braz. Math. Soc. 24 (1993), 233-259.
    • (1993) Bull. Braz. Math. Soc. , vol.24 , pp. 233-259
    • Rovella, A.1
  • 15
    • 0003293377 scopus 로고
    • The Lorenz equations bifurcations, chaos and strange attractors
    • Springer-Verlag
    • C. Sparrow, The Lorenz equations bifurcations, chaos and strange attractors, Applied Mathematical Sciences, vol. 41, Springer-Verlag, 1982.
    • (1982) Applied Mathematical Sciences , vol.41
    • Sparrow, C.1
  • 16
    • 0005054205 scopus 로고
    • Exposant de Lyapunov positif dans des familles à un paramètre d'applications unimodales
    • P. Thieullen, C. Tresser, and L.-S. Young, Exposant de Lyapunov positif dans des familles à un paramètre d'applications unimodales, C. R. Acad. Sci. Paris Sér. I Math. 315 (1992), 69-72.
    • (1992) C. R. Acad. Sci. Paris Sér. I Math. , vol.315 , pp. 69-72
    • Thieullen, P.1    Tresser, C.2    Young, L.-S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.