Noise-induced Canard and Mixed-Mode Oscillations in Large-Scale Stochastic Networks
DOI10.1137/140990528zbMath1344.34070OpenAlexW1833013177MaRDI QIDQ2945474
Martin Krupa, Jonathan D. Touboul, Mathieu Desroches
Publication date: 11 September 2015
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/140990528
noisedynamical systemscoupled oscillatorsbifurcationsstochastic networksslow-fast systemscanardsmean-field equationsMMOsrandom equationsmix-mode oscillations
Periodic solutions to ordinary differential equations (34C25) Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations and systems with randomness (34F05) Convergence of probability measures (60B10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Singular perturbations for ordinary differential equations (34E15) Canard solutions to ordinary differential equations (34E17)
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