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Zbl 0897.76038
Zhou, Cangtao; Lai, C.H.; Yu, M.Y.
Bifurcation behavior of the generalized Lorenz equations at large rotation numbers. (English)
[J] J. Math. Phys. 38, No.10, 5225-5239 (1997). ISSN 0022-2488; ISSN 1089-7658/e

Summary: The bifurcation structure and periodic orbits of the Lorenz-Stenflo equations at large rotation numbers are given. It is shown that rotation can lead to a much richer dynamical behavior than that of the original Lorenz system, and can be used to control or modify the latter's chaos behavior. Orbits with new topology arising from the merging and splitting of different periodic windows are observed. Abrupt changes in the one-dimensional map are pointed out and studied in terms of the interaction of the interior and exterior boundaries.

MSC 2000:: *76E30 Nonlinear effects (fluid mechanics)
76U05 Rotating fluids
37G99 Bifurcation theory

Keywords: interaction of interior and exterior boundaries; Lorenz-Stenflo equations; merging; splitting; one-dimensional map

Cited in: Zbl 1225.76137

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Zentralblatt MATH Berlin [Germany]