Bifurcations in Forced Response Curves

DOI10.1137/14096846XzbMath1331.34069MaRDI QIDQ3456571

Justin Wiser, Martin Golubitsky

Publication date: 9 December 2015

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationresonanceperiodic forcing

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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Cites Work

• Unnamed Item
• Unnamed Item
• Resonance and fractal geometry
• Feed-forward networks, center manifolds, and forcing
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Perturbation of a Hopf bifurcation by an external time-periodic forcing
• Singularities and groups in bifurcation theory. Volume I
• Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals
• The role of Hopf bifurcation dynamics in sensory processes
• Frequency-selective induction of excitation waves near sub- and supercritical Hopf bifurcation
• The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
• Periodically Forced Hopf Bifurcation
• PRACTICAL COMPUTATION OF NORMAL FORMS ON CENTER MANIFOLDS AT DEGENERATE BOGDANOV–TAKENS BIFURCATIONS
• Small denominators. I. Mappings of the circumference onto itself

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