Lyapunov-Schmidt reductions and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators

DOI10.1006/jdeq.1994.1110zbMath0807.34052OpenAlexW2060676452MaRDI QIDQ1336333

Carmen C. Chicone

Publication date: 1 March 1995

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1994.1110

zbMATH Keywords

perturbationcoupled oscillatorsLyapunov-Schmidt reductionforced oscillatormanifold of periodic solutionsmutual synchronization of van der Pol oscillatorsreduced bifurcation functionsmooth systems of autonomous ordinary differential equations depending on a small parametersubharmonic Mel'nikov function

Mathematics Subject Classification ID

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

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