Canard-Mediated (De)Synchronization in Coupled Phantom Bursters

DOI10.1137/15M101840XzbMath1337.34060OpenAlexW2309086857MaRDI QIDQ2797749

Martin Krupa, Elif Köksal Ersöz, Mathieu Desroches, Frédérique Clément

Publication date: 31 March 2016

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

Full work available at URL: https://doi.org/10.1137/15m101840x

zbMATH Keywords

synchronizationslow-fast systemscanardsmultiple timescalesfolded singularity

Mathematics Subject Classification ID

Neural biology (92C20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Singular perturbations for ordinary differential equations (34E15) Multiple scale methods for ordinary differential equations (34E13) Relaxation oscillations for ordinary differential equations (34C26) Biological rhythms and synchronization (92B25) Canard solutions to ordinary differential equations (34E17) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (8)

Coupled Multiple Timescale Dynamics in Populations of Endocrine Neurons: Pulsatile and Surge Patterns of GnRH Secretion ⋮ Canard-induced complex oscillations in an excitatory network ⋮ A multiple timescale network model of intracellular calcium concentrations in coupled neurons: Insights from ROM simulations ⋮ Synchronization of weakly coupled canard oscillators ⋮ Experimental and numerical study of the synchronization of canards in identical coupled canard-generating Bonhoeffer-van der Pol oscillators ⋮ Symmetric coupling of multiple timescale systems with mixed-mode oscillations and synchronization ⋮ Mixed-mode oscillations in a piecewise linear system with multiple time scale coupling ⋮ Spike-Adding in a Canonical Three-Time-Scale Model: Superslow Explosion and Folded-Saddle Canards

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