Spatio-temporal patterns of Hopf bifurcating periodic oscillations in a pair of identical tri-neuron network loops

DOI10.1016/j.cnsns.2011.06.005zbMath1239.92004OpenAlexW2085086916WikidataQ114952507 ScholiaQ114952507MaRDI QIDQ430362

Yongli Song

Publication date: 21 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.06.005

zbMATH Keywords

Hopf bifurcationsdelayscoupled neural loops

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Learning and adaptive systems in artificial intelligence (68T05) Neural networks for/in biological studies, artificial life and related topics (92B20) Periodic solutions to functional-differential equations (34K13) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Lie groups (22E99) Bifurcation theory of functional-differential equations (34K18)

Related Items (1)

Bifurcation phenomena and control analysis in class-B laser system with delayed feedback

Uses Software

• XPPAUT

Cites Work

• Unnamed Item
• Stability and direction of Hopf bifurcations in a pair of identical tri-neuron network loops
• Stability switches and Hopf bifurcations in a pair of identical tri-neuron network loops
• Singularities and groups in bifurcation theory. Volume II
• 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.
• Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays
• Stability and synchronization of a ring of identical cells with delayed coupling
• Stability and bifurcation in a neural network model with two delays.
• Dynamics in a delayed-neural network
• Hopf bifurcation analysis in a tri-neuron network with time delay
• Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system
• Simulating, Analyzing, and Animating Dynamical Systems
• PERIODIC OSCILLATIONS ARISING AND DEATH IN DELAY-COUPLED NEURAL LOOPS
• 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

This page was built for publication: Spatio-temporal patterns of Hopf bifurcating periodic oscillations in a pair of identical tri-neuron network loops