The Dynamical Impact of a Shortcut in Unidirectionally Coupled Rings of Oscillators

DOI10.1051/MMNP/20138511zbMath1287.34027arXiv1506.03923OpenAlexW3101322434MaRDI QIDQ5398379

Leonhard Lücken, Jan Philipp Pade, Sergiy Yanchuk

Publication date: 27 February 2014

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.03923

zbMATH Keywords

coupled oscillatorssymmetry breakingshortcutnetwork perturbationunidirectional ring

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Stability theory for smooth dynamical systems (37C75) Synchronization of solutions to ordinary differential equations (34D06)

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