A general family of morphed nonlinear phase oscillators with arbitrary limit cycle shape

DOI10.1016/j.physd.2013.07.016zbMath1285.34025OpenAlexW2083990312MaRDI QIDQ2448439

Jesse van den Kieboom, Albert Mukovskiy, Mostafa Ajallooeian, Martin Giese, Auke Jan Ijspeert

Publication date: 30 April 2014

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2013.07.016

zbMATH Keywords

nonlinear oscillatorPoincaré-Bendixson theoremcontraction theoryconvergence behaviorlimit cycle shape

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (3)

The coordination dynamics of mobile conjugate reinforcement ⋮ Novel neuromuscular controller application method to improve the balance recovery ability of lower limb exoskeletons ⋮ Synthesis of oscillators for exact desired periodic solutions having a finite number of harmonics

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