Stochastic switching in systems with rare and hidden attractors

Nataliya Stankevich*, Erik Mosekilde, Aneta Koseska

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

Complex biochemical networks are commonly characterised by the coexistence of multiple stable attractors. This endows living systems with plasticity in responses under changing external conditions, thereby enhancing their probability for survival. However, the type of such attractors as well as their positioning can hinder the likelihood to randomly visit these areas in phase space, thereby effectively decreasing the level of multistability in the system. Using a model based on the Hodgkin–Huxley formalism with bistability between a silent state, which is a rare attractor, and oscillatory bursting attractor, we demonstrate that the noise-induced switching between these two stable attractors depends on the structure of the phase space and the disposition of the coexisting attractors to each other.
Original languageEnglish
JournalEuropean Physical Journal. Special Topics
Volume227
Issue number7-9
Pages (from-to)747-756
ISSN1951-6355
DOIs
Publication statusPublished - 2018

Cite this