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Zbl 1105.34032
Panchev, S.; Vitanov, N.K.
On asymptotic properties of some complex Lorenz-like systems. (English)
[J] J. Calcutta Math. Soc. 1, No. 3-4, 181-190 (2005). ISSN 2231-5314

From the authors' summary: The classical Lorenz lowest-order systems of three nonlinear ordinary differential equations, capable of producing chaotic solutions, has been generalized, in particular, for the case of complex variables and parameters. Problems of laser physics and geophysical fluid dynamics (baroclinic instability, geodynamic theory, etc.) can be related to this case. In this paper, we study the asymptotic properties of some complex Lorenz systems, keeping in the mind the physical basis of the mathematical model equations.
[Sergei A. Mazanik (Minsk)]

MSC 2000:: *34D05 Asymptotic stability of ODE
34A34 Nonlinear ODE and systems, general
34C28 Other types of "recurrent" solutions of ODE

Keywords: Lorenz system; asymptotic properties of solutions

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