Integrals of motion and the shape of the attractor for the Lorenz model

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 227, Issue 5-6, 1997, Pages 309-318

  Giacomini, H ^a   Neukirch, S ^a  

^a UNIVERSITÉ DE TOURS   (France)

Author keywords

Chaotic dynamics; Integrals of motion; Lorenz model

Indexed keywords

DYNAMICAL SYSTEMS;

ARBITRARY VALUES; CHAOTIC DYNAMICS; GLOBAL ATTRACTOR; INTEGRALS OF MOTION; LORENZ MODEL; METHOD OF LYAPUNOV; THREE-DIMENSIONAL DYNAMICAL SYSTEMS; TWO-DIMENSIONAL SURFACE;

LYAPUNOV FUNCTIONS;

EID: 0042941238     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(97)00077-7     Document Type: Article

References (9)

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4. M. Kus, J. Phys. A 16 (1983) L689.
5. C. Sparrow, Springer Series in Applied Mathematics 41. The Lorenz equations: bifurcations, chaos and strange attractors (Springer, Berlin, 1982).
6. C. Doering and J. Gibbon, On the shape and dimension of the Lorenz attractor, dynamics and stability of systems Vol. 10, No. 3 (1995) pp. 255-268.
7. M. Tabor and J. Weiss, Analytic structure of the Lorenz system, Phys. Rev. A 24 (1981) 2157.
8. S. Strogatz, Nonlinear dynamics and chaos (Addison-Wesley, New York, 1994).
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