Bifurcations of Nonlinear Oscillations and Frequency Entrainment Near Resonance

DOI10.1137/0523087zbMath0765.58018OpenAlexW2011842334MaRDI QIDQ4015325

Carmen C. Chicone

Publication date: 6 January 1993

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0523087

zbMATH Keywords

limit cyclesbifurcationcenter bifurcationsresonanceforced oscillationssubharmonicsMelnikov methodDiliberto theoremfrequency entrainmentPoincaré- Andronov theorem

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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