On an Asymptotic Case of the Complex Lorenz Model

Abstract

In this paper The Complex Lorenz Model is considered and a particular asymptotic case has been analyzed. Fowler et al. (1982) has found this complex counterpart of the Lorenz Model and its analytic study was reported. Present paper deals with the stability analysis of the model for the simple condition when σ → ∞ We have followed the method used by Lorenz (1963) to study the set of differential equation modeling Nonperiodic flow followed by a brief study of large perturbation through numerical integration. We have been able to produce a few results in agreement with Fowler et al. (1983) and an important result regarding the critical value of one of the parameters.