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On asymptotic properties of some complex Lorenz-like systems. (English) Zbl 1105.34032
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.
MSC:
34D05Asymptotic stability of ODE
34A34Nonlinear ODE and systems, general
34C28Complex behavior, chaotic systems (ODE)