Homoclinic clusters and chaos associated with a folded node in a stellate cell model

DOI10.3934/dcdss.2009.2.829zbMath1362.34081OpenAlexW1972846926MaRDI QIDQ1045966

Martin Wechselberger, Warren Weckesser

Publication date: 21 December 2009

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2009.2.829

zbMATH Keywords

chaoshomoclinic orbitmixed-mode oscillationsfolded nodecanardstellate cell

Mathematics Subject Classification ID

Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Singular perturbations for ordinary differential equations (34E15) Multiple scale methods for ordinary differential equations (34E13) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Relaxation oscillations for ordinary differential equations (34C26) Canard solutions to ordinary differential equations (34E17)

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