On asymptotic properties of some complex Lorenz-like systems

Details On asymptotic properties of some complex Lorenz-like systems On asymptotic properties of some complex Lorenz-like systems

2005-09-26

arxiv.org/abs/nlin/0509045v1

Journal of the Calcutta Mathematical Society, vol. 1, p.p. 121-130 (2005)

Nonlinear Sciences

Chaotic Dynamics

12 pages, no figures

Scientific paper

The classical Lorenz lowest order system of three nonlinear ordinary differential equations, capable of producing chaotic solutions, has been generalized by various authors in two main directions: (i) for number of equations larger than three (Curry1978) and (ii) for the case of complex variables and parameters. Problems of laser physics and geophysical fluid dynamics (baroclinic instability, geodynamic theory, etc. - see the references) can be related to this second aspect of generalization. In this paper we study the asymptotic properties of some complex Lorenz systems, keeping in the mind the physical basis of the model mathematical equations.

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