Resonance in Periodically Perturbed Hopf Bifurcation

DOI10.1002/sapm198165295zbMath0487.34041OpenAlexW182919013MaRDI QIDQ3947952

William L. Kath

Publication date: 1981

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm198165295

zbMATH Keywords

diffusionresonanceperiodically perturbed Hopf bifurcationRosenblat- Cohen system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Perturbations of ordinary differential equations (34D10) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Bifurcations in context of PDEs (35B32)

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Parametric dependence in model epidemics. I: Contact-related parameters ⋮ A universal bifurcation diagram for seasonally perturbed predator-prey models ⋮ Peak-to-peak dynamics in food chain models ⋮ Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities ⋮ An Amplitude Equation Approach to Contextual Effects in Visual Cortex ⋮ Periodic forcing on degenerate Hopf bifurcation ⋮ Hopf bifurcation phenomenon in catalytic reaction ⋮ Periodically forced Hopf bifurcation in annular liquid jets with mass transfer. ⋮ An analysis of a dendritic neuron model with an active membrane site ⋮ Resonant parametric perturbations of the Hopf bifurcation

Cites Work

• Chemical Waves and the Diffusive Coupling of Limit Cycle Oscillators
• Flickering and ThermalFlicker Waves on Catalytic Wires and Gauzes and in Chemical Reactors
• Slowly Modulated Oscillations in Nonlinear Diffusion Processes

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