Analysis of Interacting Local Oscillation Mechanisms in Three-Timescale Systems

DOI10.1137/16M1088429zbMath1369.34078OpenAlexW2625456875WikidataQ60154125 ScholiaQ60154125MaRDI QIDQ5272523

Theodore Vo, Benjamin Letson, Jonathan E. Rubin

Publication date: 30 June 2017

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

Full work available at URL: https://doi.org/10.1137/16m1088429

zbMATH Keywords

Hopf bifurcationburstingmixed-mode oscillationscanardsdelayed bifurcationthree timescales

Mathematics Subject Classification ID

Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26) Canard solutions to ordinary differential equations (34E17)

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