The asymptotic periodicity of Lorenz maps

Acta Mathematica Scientia

Volumn 19, Issue 1, 1999, Pages 114-120

  Yiming, Ding ^a   Wentao, Fan ^a  

^a Chinese Academy of Sciences   (China)

Author keywords

Asymptotically periodic; Critical point; Derived set; Lorenz map; Renormalization

Indexed keywords

EID: 0042783232     PISSN: 02529602     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0252-9602(17)30619-7     Document Type: Article

References (7)

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3. Ding Yiming, Fan Wentao. The asymptotic periodicty for piecewise monotone selfmaps of the interval. Preprint, 1997
4. Glendinning P, Sparrow C. Prime and renormalisable kneading invariants and the dynamics of expanding Lorenz maps. Physica, 1993,D62:22-50
5. Malkin M I. Rotation intervals and the dynamics of Lorenz type mappings. Selecta Math Sovietica, 1991,10:265-275
6. Parry W. The Lorenz attractor and a related population model, Ergodic Theory. Lecture Notes in Mathematics 729. Berlin: Springer-Verlag, 1979
7. Sparrow C T. The Lorenz Equations: Bifurcations, Chaos and Strange Attractors. Appl Math Sci Series 41. Berlin: Springer-Verlag, 1982