Strategies to Maximize Burst Lengths in Rhythmic Anti-Phase Activity of Networks with Reciprocal Inhibition

DOI10.1142/S0218127415400040zbMath1319.34078DBLPjournals/ijbc/BoseR15OpenAlexW2180124678WikidataQ60154130 ScholiaQ60154130MaRDI QIDQ2944467

Amitabha Bose, Jonathan E. Rubin

Publication date: 2 September 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127415400040

zbMATH Keywords

synaptic couplingcentral pattern generatordiscontinuous mapperiodic activity

Mathematics Subject Classification ID

Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Biological rhythms and synchronization (92B25)

Cites Work

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• Border-collision bifurcations including ``period two to period three for piecewise smooth systems
• Global competition and local cooperation in a network of neural oscillators
• Winner-take-all networks for physiological models of competitive learning
• Phase maintenance in the pyloric pattern of the lobster (\textit{Panulirus interruptus}) stomatogastric ganglion
• Mechanisms for oscillation and frequency control in reciprocally inhibitory model neural networks
• The geometry of neuronal recruitment
• Simulating, Analyzing, and Animating Dynamical Systems
• Analysis of clustered firing patterns in synaptically coupled networks of oscillators

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