Wilson–Cowan Neuronal Interaction Models with Distributed Delays

DOI10.1007/978-3-030-34724-6_21zbMath1482.92019OpenAlexW3004159987MaRDI QIDQ5013783

Anca Rǎdulescu, Emanuel-Attila Kokovics, Eva Kaslik

Publication date: 2 December 2021

Published in: New Trends in Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-34724-6_21

zbMATH Keywords

stabilitychaosbifurcationsdistributed delaysWilson-Cowan model

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Asymptotic theory of functional-differential equations (34K25) Bifurcation theory of functional-differential equations (34K18) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)

Related Items (1)

Stability and bifurcations in Wilson-Cowan systems with distributed delays, and an application to basal ganglia interactions

Cites Work

• Equations with infinite delay: blending the abstract and the concrete
• Bifurcation analysis of a chemostat model with a distributed delay
• Approximating the stability region of a neural network with a general distribution of delays
• Local and global stability for Lotka-Volterra systems with distributed delays and instantaneous negative feedbacks
• Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics
• Stability and Hopf Bifurcation Analysis for Functional Differential Equation with Distributed Delay
• Delays in activity-based neural networks
• Approximating the Stability Region for a Differential Equation with a Distributed Delay
• Sufficient conditions for stability of linear differential equations with distributed delay

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