Hopf bifurcation at 1:1 resonance

DOI10.1016/0362-546X(84)90096-8zbMath0573.34038MaRDI QIDQ3692095

Carlotta Maffei, Piero Negrini, Silvia Caprino

Publication date: 1984

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

bifurcationresonance

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Averaging method for ordinary differential equations (34C29)

Related Items (6)

Classification and unfoldings of \(1:2\) resonant Hopf bifurcation ⋮ Bifurcation at nonsemisimple 1:-1 resonance ⋮ A simple global characterization for normal forms of singular vector fields ⋮ Generalized Hopf Bifurcation of Semilinear FDEs in General Banach Spaces ⋮ Generalized Hopf Bifurcation for Neutral Functional Differential Equations ⋮ Stability of invariant curves in four-dimensional reversible mappings near 1:1 resonance

Cites Work

• Bifurcation theory for Fredholm operators
• Global Bifurcations of Periodic Orbits
• ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES
• Periodic orbits near ?4 for mass ratios near the critical mass ratio of routh
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