On harmonic resonance in forced nonlinear oscillators exhibiting a Hopf bifurcation

DOI10.1093/IMAMAT/50.1.1zbMath0774.34025OpenAlexW1979787527MaRDI QIDQ5285601

Peter Gross

Publication date: 29 June 1993

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/50.1.1

zbMATH Keywords

attractorsstability analysisoscillatorHopf bifurcationsecond order averaginghysteresis phenomenonDuffing's oscillatorsmall periodic forcing

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29)

Related Items (2)

Periodic forcing on degenerate Hopf bifurcation ⋮ Periodically forced Hopf bifurcation in annular liquid jets with mass transfer.

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