Title :
On an Asymptotic Case of the Complex Lorenz Model
Author :
Das, Swetamber Prakash
Author_Institution :
Dept. of Phys., Patna Univ., Patna, India
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.
Keywords :
differential equations; flow instability; complex Lorenz model; critical value; differential equation; nonperiodic flow; numerical integration; stability analysis; Atmosphere; Atmospheric modeling; Differential equations; Dispersion; Laser modes; Laser theory; Nonlinear equations; Physics computing; Research and development; Stability analysis; Complex Lorenz Model; Limit Cycle; Lorenz Model;
Conference_Titel :
Computer Research and Development, 2010 Second International Conference on
Conference_Location :
Kuala Lumpur
Print_ISBN :
978-0-7695-4043-6
DOI :
10.1109/ICCRD.2010.122
