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

DOI10.1016/j.physleta.2009.03.014zbMath1229.92007OpenAlexW2019221582WikidataQ114949329 ScholiaQ114949329MaRDI QIDQ653097

Yahong Peng, Yongli Song

Publication date: 6 January 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.03.014

zbMATH Keywords

delayneural networksstability switches

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Neural networks for/in biological studies, artificial life and related topics (92B20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (9)

Stability, bifurcation, and synchronization of delay-coupled ring neural networks ⋮ Stability and direction of Hopf bifurcations in a pair of identical tri-neuron network loops ⋮ 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 ⋮ Bifurcation, Synchronization, and Multistability of Two Interacting Networks with Multiple Time Delays ⋮ Induction of Hopf bifurcation and oscillation death by delays in coupled networks

Cites Work

• Unnamed Item
• High-dimensional chaotic behavior in systems with time-delayed feedback
• Stability switches and Hopf bifurcations in a pair of delay-coupled oscillators
• Introduction to functional differential equations
• Stability in a model of a delayed neural network
• Hopf bifurcating periodic orbits in a ring of neurons with delays
• Synchronization and stable phase-locking in a network of neurons with memory.
• Global existence of periodic solutions in a tri-neuron network model with delays
• Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system
• Symmetric functional differential equations and neural networks with memory
• Nonlinear Waves in Networks of Neurons with Delayed Feedback: Pattern Formation and Continuation
• Delayed Coupling Between Two Neural Network Loops
• Equivariant Hopf bifurcation in a ring of identical cells with delayed coupling

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