Stability and direction of Hopf bifurcations in a pair of identical tri-neuron network loops

DOI10.1007/S11071-010-9671-0zbMath1204.37090OpenAlexW2023266816MaRDI QIDQ623928

Sanling Yuan, Pan Li

Publication date: 8 February 2011

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

Full work available at URL: https://doi.org/10.1007/s11071-010-9671-0

zbMATH Keywords

stabilityperiodic orbitsdelayneural networksbifurcation direction

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Bifurcation theory of functional-differential equations (34K18)

Related Items (6)

Stability switches, bifurcation, and multi-stability of coupled networks with time delays ⋮ Spatio-temporal patterns of Hopf bifurcating periodic oscillations in a pair of identical tri-neuron network loops ⋮ Stability and Hopf bifurcation analysis of a pair of three-neuron loops with time delays ⋮ Synchronized stability in a reaction-diffusion neural network model ⋮ Dynamical stability in a delayed neural network with reaction-diffusion and coupling ⋮ STUDY OF A PREDATOR–PREY MODEL WITH PEST MANAGEMENT PERSPECTIVE

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