A new detecting method for conditions of existence of Hopf bifurcation

DOI10.1007/BF02012625zbMath0834.34043MaRDI QIDQ1898898

Zhu-jun Jing, Jiaqi Shen

Publication date: 25 September 1995

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationdetecting method

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23)

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Cites Work

• Unnamed Item
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• Periodic travelling-wave solution of Brusselator
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Qualitative analysis for a mathematical model of AIDS
• Hopf bifurcation and other dynamical behaviors for a fourth order differential equation in models of infectious disease
• Existence and stability of periodic solutions of a third-order non-linear autonomous system simulating immune response in animals

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