Metastability in interacting nonlinear stochastic differential equations: I. From weak coupling to synchronization

DOI10.1088/0951-7715/20/11/006zbMath1135.60056arXivmath/0611647OpenAlexW1979854441MaRDI QIDQ5444857

Nils Berglund, Barbara Gentz, Bastien Fernandez

Publication date: 26 February 2008

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611647

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Bifurcation theory for random and stochastic dynamical systems (37H20)

Related Items (max. 100)

Interface dynamics of a metastable mass-conserving spatially extended diffusion ⋮ Synchronization in Interacting Reinforced Stochastic Processes ⋮ Stable configurations in social networks ⋮ Sequential Noise-Induced Escapes for Oscillatory Network Dynamics ⋮ The Eyring-Kramers law for Markovian jump processes with symmetries ⋮ Gaussian noise and the two-network frustrated Kuramoto model ⋮ Response theory and phase transitions for the thermodynamic limit of interacting identical systems ⋮ Synchronization via Interacting Reinforcement ⋮ Sharp asymptotics of metastable transition times for one dimensional SPDEs ⋮ Metastability in randomly perturbed dynamical systems: beyond large-deviation theory ⋮ Sequential Escapes and Synchrony Breaking for Networks of Bistable Oscillatory Nodes

This page was built for publication: Metastability in interacting nonlinear stochastic differential equations: I. From weak coupling to synchronization