Hopf Bifurcation Analysis of Distributed Delay Equations with Applications to Neural Networks

DOI10.1142/S0218127415501564zbMath1327.34123OpenAlexW2224792067MaRDI QIDQ3457751

Franco S. Gentile, Jorge L. Moiola

Publication date: 17 December 2015

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

Full work available at URL: https://doi.org/10.1142/s0218127415501564

zbMATH Keywords

Hopf bifurcationdistributed delaydelay-differential equationfrequency-domain method

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)

Related Items (3)

Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain ⋮ Hopf Bifurcation Analysis of KdV–Burgers–Kuramoto Chaotic System with Distributed Delay Feedback ⋮ Hopf Bifurcation in a Delayed Single Species Network System

Cites Work

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• A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay
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• The bifurcation study of 1:2 resonance in a delayed system of two coupled neurons
• Global exponential stability of generalized recurrent neural networks with discrete and distributed delays
• ON THE STUDY OF BIFURCATIONS IN DELAY-DIFFERENTIAL EQUATIONS: A FREQUENCY-DOMAIN APPROACH
• Stability and Hopf Bifurcation Analysis for Functional Differential Equation with Distributed Delay
• The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
• Sufficient conditions for stability of linear differential equations with distributed delay

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