Stability of singular Hopf bifurcations

DOI10.1016/j.jde.2004.08.002zbMath1144.37437OpenAlexW1996838494MaRDI QIDQ1886300

Yang Lijun, Zeng Xianwu

Publication date: 18 November 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.08.002

zbMATH Keywords

Lyapunov constantsingularly perturbed systemstability constantsingular Hopf bifurcationstability formula

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (5)

On the periodic orbit bifurcating from a zero Hopf bifurcation in systems with two slow and one fast variables ⋮ Intrinsic determination of the criticality of a slow-fast Hopf bifurcation ⋮ Hopf bifurcation at infinity and dissipative vector fields of the plane ⋮ Singular Hopf bifurcation in a differential equation with large state-dependent delay ⋮ Normal forms of Hopf bifurcation for a reaction-diffusion system subject to Neumann boundary condition

Cites Work

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