Limit Cycles of Lorenz System with Hopf Bifurcation

We prove that near the bifurcation point unstable limit cycle arises from the Lorenz system. In the analysis, we use the method of local bifurcation theory, especially the center manifold and the normal form theorem. A computer algebra system using Maple to derive all the formulas and verify the res...

Full description

Bibliographic Details
Main Authors: Azad Amen, Rizgar Salih
Format: Article
Language:Arabic
Published: Mosul University 2008-07-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
Online Access:https://csmj.mosuljournals.com/article_163951_1d90dd7accb190de4aa5ef95b0d89f70.pdf