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Periodically Forced Hopf Bifurcation

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Publication:5388641
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DOI10.1137/10078637XzbMath1247.34059MaRDI QIDQ5388641

Yanyan Zhang, Martin Golubitsky

Publication date: 19 April 2012

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


zbMATH Keywords

periodic solutionsHopf bifurcationperiodic forcing


Mathematics Subject Classification ID

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


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Bifurcations in Forced Response Curves ⋮ Can the Clocks Tick Together Despite the Noise? Stochastic Simulations and Analysis ⋮ Phase-locked states in oscillating neural networks and their role in neural communication ⋮ Periodic Forcing of Inhibition-Stabilized Networks: Nonlinear Resonances and Phase-Amplitude Coupling ⋮ Sinusoidal-signal detection by active, noisy oscillators on the brink of self-oscillation ⋮ Periodic forcing on degenerate Hopf bifurcation ⋮ Asymptotic Analysis of Bifurcations in Feedforward Networks







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