Synchronization of a large number of continuous one-dimensional stochastic elements with time-delayed mean-field coupling

DOI10.1016/j.physd.2008.09.010zbMath1168.82020OpenAlexW2067891462MaRDI QIDQ1003452

Andrey Pototsky, Natalia B. Janson

Publication date: 4 March 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://dspace.lboro.ac.uk/2134/12788

zbMATH Keywords

controldelaysynchronizationstochastic oscillations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamical systems in control (37N35)

Related Items (7)

Synchronization of neural networks with stochastic perturbation via aperiodically intermittent control ⋮ Chaos synchronization of a new hyperchaotic system ⋮ Stochastic quasi-synchronization for delayed dynamical networks via intermittent control ⋮ Exponential synchronization of stochastic perturbed complex networks with time-varying delays via periodically intermittent pinning ⋮ Mean-square exponential synchronization of Markovian switching stochastic complex networks with time-varying delays by pinning control ⋮ Mean-square exponential synchronization of stochastic complex dynamical networks with switching topology by impulsive control ⋮ Adaptive pinning synchronization of complex networks with stochastic perturbations

Uses Software

• AUTO
• DDE-BIFTOOL
• HomCont

Cites Work

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• Chemical oscillations, waves, and turbulence
• Advanced synergetics. Instability hierarchies of self-organizing systems and devices
• The Fokker-Planck equation. Methods of solution and applications.
• A model of visuospatial working memory in prefrontal cortex: Recurrent network and cellular bistability
• Fokker–Planck equations for globally coupled many-body systems with time delays
• How Noise Affects the Synchronization Properties of Recurrent Networks of Inhibitory Neurons
• Noise induced complexity: From subthreshold oscillations to spiking in coupled excitable systems

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