Multistability of clustered states in a globally inhibitory network

DOI10.1016/j.physd.2008.10.008zbMath1157.92005OpenAlexW2066549928MaRDI QIDQ1007788

Lakshmi Chandrasekaran, Amitabha Bose, Victor Matveev

Publication date: 24 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.physd.2008.10.008

zbMATH Keywords

neuronal networkdynamical systemsperiodic orbitsynaptic depression

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Cell biology (92C37)

Related Items (6)

Co-existent activity patterns in inhibitory neuronal networks with short-term synaptic depression ⋮ Strategies to Maximize Burst Lengths in Rhythmic Anti-Phase Activity of Networks with Reciprocal Inhibition ⋮ Phase-locking and bistability in neuronal networks with synaptic depression ⋮ Oscillatory Rhythms in a Model Network of Excitatory and Inhibitory Neurons ⋮ Explicit maps to predict activation order in multiphase rhythms of a coupled cell network ⋮ Geometric analysis of synchronization in neuronal networks with global inhibition and coupling delays

Uses Software

• XPPAUT

Cites Work

• Differential equations with small parameters and relaxation oscillations. Translation from the Russian by F. M. C. Goodspeed
• Mechanisms for oscillation and frequency control in reciprocally inhibitory model neural networks
• Dynamics of two mutually coupled slow inhibitory neurons
• Bistable Oscillations Arising from Synaptic Depression
• Simulating, Analyzing, and Animating Dynamical Systems
• The Combined Effects of Inhibitory and Electrical Synapses in Synchrony
• Analysis of clustered firing patterns in synaptically coupled networks of oscillators

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