Frequency Locking by External Forcing in Systems with Rotational Symmetry

DOI10.1137/110846750zbMath1260.34106arXiv1108.5990OpenAlexW3098781690MaRDI QIDQ4904524

Sergiy Yanchuk, Victor I. Tkachenko, Lutz Recke, A. M. Samoilenko

Publication date: 30 January 2013

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

Full work available at URL: https://arxiv.org/abs/1108.5990

zbMATH Keywords

rotational symmetrylocal coordinatesaveragingfrequency lockingexternal forcerelative periodic orbits

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Perturbations of ordinary differential equations (34D10) Averaging method for ordinary differential equations (34C29) Lasers, masers, optical bistability, nonlinear optics (78A60) Invariant manifolds for ordinary differential equations (34C45) Asymptotic properties of solutions to ordinary differential equations (34D05) Synchronization of solutions to ordinary differential equations (34D06) Multifrequency systems of ordinary differential equations (34C46)

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