Quantifying Noisy Attractors: From Heteroclinic to Excitable Networks

DOI10.1137/16M1061813zbMath1360.37141arXiv1602.06135OpenAlexW3101877045MaRDI QIDQ5506819

Claire M. Postlethwaite, Peter Ashwin

Publication date: 16 December 2016

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

Full work available at URL: https://arxiv.org/abs/1602.06135

zbMATH Keywords

stochastic dynamicsheteroclinic connectionnetwork attractor

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Bifurcation theory for random and stochastic dynamical systems (37H20) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Systems biology, networks (92C42)

Related Items (5)

Designing heteroclinic and excitable networks in phase space using two populations of coupled cells ⋮ Stability of cycling behaviour near a heteroclinic network model of Rock–Paper–Scissors–Lizard–Spock ⋮ From coupled networks of systems to networks of states in phase space ⋮ Collective dynamics and bifurcations in symmetric networks of phase oscillators. I ⋮ Sequential Noise-Induced Escapes for Oscillatory Network Dynamics

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