Hopf Bifurcations of Bi-Parameter Ordinary Differential Systems

DOI10.1142/S0218127403007370zbMath1061.34032MaRDI QIDQ4653846

Junjie Wei, Quichang Huang, Ruyuan Zhang

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationsparametertheorem of implicit function

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Cites Work

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• An indirect method for computing origins for Hopf bifurcation in two- parameter problems
• The stable, center-stable, center, center-unstable, unstable manifolds
• Stability and Hopf Bifurcation in a Predator–Prey System with Several Parameters
• Numerical Determination of an Emanating Branch of Hopf Bifurcation Points in a Two-Parameter Problem

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