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Volumn 32, Issue 2, 2001, Pages 107-144

Bifurcation of the essential dynamics of Lorenz maps and applications to Lorenz-like flows: Contributions to the study of the expanding case

Author keywords

Combinatorial bifurcation diagramme; Expanding Lorenz maps; Geometric Lorenz like flows

Indexed keywords


EID: 27144528727     PISSN: 01003569     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01243862     Document Type: Article
Times cited : (12)

References (19)
  • 1
    • 0000119416 scopus 로고
    • On structurally stable attracting limit sets of Lorenz attractor type
    • Afraimovich V.S., Bykov V. V. and Shil'nikov L.P., On structurally stable attracting limit sets of Lorenz attractor type. Trans. Mosc.Math. Soc., 44 (1983), 153-216.
    • (1983) Trans. Mosc.Math. Soc. , vol.44 , pp. 153-216
    • Afraimovich, V.S.1    Bykov, V.V.2    Shil'nikov, L.P.3
  • 2
    • 0000071902 scopus 로고
    • Small Denominators. I. on the mapping of the circumference onto itself
    • nd Ser., 46 (1965), 213-284.
    • (1965) nd Ser. , vol.46 , pp. 213-284
    • Arnold, V.I.1
  • 3
    • 67349130228 scopus 로고    scopus 로고
    • A Characterization of chaotic functions with antropy zero via their scrambled sets
    • Babrilea F. and Jimênez Lôpez V., A Characterization of chaotic functions with antropy zero via their scrambled sets. Math. Bohen., 120(2) (1998), 293-296.
    • (1998) Math. Bohen. , vol.120 , Issue.2 , pp. 293-296
    • Babrilea, F.1    Jimênez Lôpez, V.2
  • 4
    • 33646027172 scopus 로고
    • Bifurcations of Circle Maps: Arnold's Tongues, Bistability and Rotation Intervals
    • Boyland P., Bifurcations of Circle Maps: Arnold's Tongues, Bistability and Rotation Intervals. Comm. Math. Phys., 106 (1986), 353-381.
    • (1986) Comm. Math. Phys. , vol.106 , pp. 353-381
    • Boyland, P.1
  • 5
    • 0002278017 scopus 로고
    • Monotonicity properties of the family of trapezoidals maps
    • Brucks K.M., Misiurewicz M. and Tresser Ch., Monotonicity properties of the family of trapezoidals maps. Comm. Mat. Phys., 137 (1991), 1-12.
    • (1991) Comm. Mat. Phys. , vol.137 , pp. 1-12
    • Brucks, K.M.1    Misiurewicz, M.2    Tresser, Ch.3
  • 6
    • 21344452485 scopus 로고    scopus 로고
    • Piecewise linear models for the quasiperiodic transition to chaos
    • Campbell D.K., Galeeva R., Tresser CH. and Uherka D.J., Piecewise linear models for the quasiperiodic transition to chaos. Chaos, 6(2) (1996), 121-154.
    • (1996) Chaos , vol.6 , Issue.2 , pp. 121-154
    • Campbell, D.K.1    Galeeva, R.2    Tresser, C.H.3    Uherka, D.J.4
  • 9
    • 0003372424 scopus 로고
    • A Strange, Strange Attractor
    • J.E. Marsden and M. McCracken Eds. Springer Verlag. Berlin
    • Guckenheimer J., A Strange, Strange Attractor. In: Hopf Bifurcations and its applications. J.E. Marsden and M. McCracken Eds. Springer Verlag. Berlin. (1976), 368-381.
    • (1976) Hopf Bifurcations and Its Applications , pp. 368-381
    • Guckenheimer, J.1
  • 11
    • 51649168546 scopus 로고
    • Structural Stability of Lorenz Attractors
    • Guckenheimer J. and Williams R.F., Structural Stability of Lorenz Attractors. Publ. Math. IHES, 50 (1979), 59-72.
    • (1979) Publ. Math. IHES , vol.50 , pp. 59-72
    • Guckenheimer, J.1    Williams, R.F.2
  • 12
    • 84990592094 scopus 로고
    • The classification of topologically expansive Lorenz maps
    • Hubbard J.H. and Sparrow C.T., The classification of topologically expansive Lorenz maps. Comm. on Pure and App. Math., XLIII (1990), 431-443.
    • (1990) Comm. on Pure and App. Math. , vol.43 , pp. 431-443
    • Hubbard, J.H.1    Sparrow, C.T.2
  • 13
    • 0040417308 scopus 로고
    • Bifurcation of Contracting Singular Cycles
    • ème série, t.28 (1995), 705-745.
    • (1995) ème Série , vol.28 , pp. 705-745
    • Labarca, R.1
  • 17
    • 0000241853 scopus 로고
    • Deterministic non-periodic flow
    • Lorenz E.N., Deterministic non-periodic flow. J. Atmos. Sci., 20 (1963), 130-141.
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 19
    • 0017424051 scopus 로고    scopus 로고
    • The structure of Lorenz Attractors
    • P. Bernard, T. Ratiu (Eds.) Springer-Verlag. New York, Heidelberg, Berlin
    • Williams R.F., The structure of Lorenz Attractors. In Turbulence Seminar Berkeley 1976/1977. P. Bernard, T. Ratiu (Eds.) Springer-Verlag. New York, Heidelberg, Berlin, 94-112.
    • Turbulence Seminar Berkeley 1976/1977 , pp. 94-112
    • Williams, R.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.