The Lorenz model as a singularly perturbed nonlinear system

1999/01/08 by E. M. Shahverdiev, Shahverdiev, E. M.
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Cybersecurity and Information Systems #Differential Equations and Numerical Methods #FOS: Physical sciences #Material Science and Thermodynamics #chao-dyn #nlin.CD

paper · pdf · doi:10.48550/arxiv.chao-dyn/9901005

6 pages,latex,no figures

arxiv created 1999/01/08 · openalex publication_date 1999/01/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A method of expansion of solutions of singularly perturbed nonlinear systems in power series of small parameters is applied to the popular Lorenz model in synergetics.Simple asymptotic expressions for the solution to the model in consideration is obtained for some extreme cases.The times for achieving of quasistationary and stationary states are estimated.

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