Phase Resetting in an Asymptotically Phaseless System: On the Phase Response of Limit Cycles Verging on a Heteroclinic Orbit

DOI10.1137/110828976zbMath1242.34088arXiv1103.5647OpenAlexW2064966420WikidataQ58073091 ScholiaQ58073091MaRDI QIDQ5388664

Peter J. Thomas, Hillel J. Chiel, Youngmin Park, Kendrick M. Shaw

Publication date: 19 April 2012

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

Full work available at URL: https://arxiv.org/abs/1103.5647

zbMATH Keywords

bifurcation limit cycle heteroclinic orbit homoclinic orbit computational neuroscience central pattern generator phase resetting curve piecewise linear dynamical system stable heteroclinic channel

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Uses Software

SciPy

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