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AL-Rafidain Journal of Computer Sciences and Mathematics

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Limit Cycles of Lorenz System with Hopf Bifurcation

    Azad I. Amen Rizgar H. Salih

AL-Rafidain Journal of Computer Sciences and Mathematics, 2008, Volume 5, Issue 1, Pages 81-99
10.33899/csmj.2008.163951

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Abstract

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 results presented in this paper.
 
Keywords:
    Lorenz system limit cycle center manifold and normal form Hopf bifurcation
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(2008). Limit Cycles of Lorenz System with Hopf Bifurcation. AL-Rafidain Journal of Computer Sciences and Mathematics, 5(1), 81-99. doi: 10.33899/csmj.2008.163951
Azad I. Amen; Rizgar H. Salih. "Limit Cycles of Lorenz System with Hopf Bifurcation". AL-Rafidain Journal of Computer Sciences and Mathematics, 5, 1, 2008, 81-99. doi: 10.33899/csmj.2008.163951
(2008). 'Limit Cycles of Lorenz System with Hopf Bifurcation', AL-Rafidain Journal of Computer Sciences and Mathematics, 5(1), pp. 81-99. doi: 10.33899/csmj.2008.163951
Limit Cycles of Lorenz System with Hopf Bifurcation. AL-Rafidain Journal of Computer Sciences and Mathematics, 2008; 5(1): 81-99. doi: 10.33899/csmj.2008.163951
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