On asymptotic properties of some complex Lorenz-like systems
Chaotic Dynamics
2014-11-18 v1
Abstract
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.
Keywords
Cite
@article{arxiv.nlin/0509045,
title = {On asymptotic properties of some complex Lorenz-like systems},
author = {Stoicho Panchev and Nikolay K. vitanov},
journal= {arXiv preprint arXiv:nlin/0509045},
year = {2014}
}
Comments
12 pages, no figures