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26 April 2024
 
  » arxiv » nlin.CD/0509045

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On asymptotic properties of some complex Lorenz-like systems
Stoicho Panchev ; Nikolay K. vitanov ;
Date 26 Sep 2005
Journal Journal of the Calcutta Mathematical Society, vol. 1, p.p. 121-130 (2005)
Subject Chaotic Dynamics | nlin.CD
AbstractThe 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.
Source arXiv, nlin.CD/0509045
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