Stability and synchronization of a ring of identical cells with delayed coupling
From MaRDI portal
Publication:1768370
DOI10.1007/s10884-004-6114-yzbMath1071.34079OpenAlexW2064534817MaRDI QIDQ1768370
Publication date: 15 March 2005
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-004-6114-y
Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Invariant manifolds of functional-differential equations (34K19)
Related Items (47)
Equivariant normal forms for parameterized delay differential equations with applications to bifurcation theory ⋮ A novel approach to synchronization of nonlinearly coupled network systems with delays ⋮ On the stability of the Cartesian product of a neural ring and an arbitrary neural network ⋮ AN EFFICIENT METHOD FOR STUDYING FOLD-HOPF BIFURCATION IN DELAYED NEURAL NETWORKS ⋮ SYNCHRONOUS/ASYNCHRONOUS PATTERNS IN THREE-CELL NETWORKS WITH MULTIPLE TIME DELAYS ⋮ Stability switches, oscillatory multistability, and spatio-temporal patterns of nonlinear oscillations in recurrently delay coupled neural networks ⋮ Rich dynamics in a non-local population model over three patches ⋮ Singularity analysis on a planar system with multiple delays ⋮ Zero singularities in a ring network with two delays ⋮ Multiple scales and normal forms in a ring of delay coupled oscillators with application to chaotic Hindmarsh-Rose neurons ⋮ Dynamics of delay-coupled FitzHugh-Nagumo neural rings ⋮ STABILITY AND HOPF BIFURCATION OF A DELAYED NETWORK OF FOUR NEURONS WITH A SHORT-CUT CONNECTION ⋮ Stability in a scalar differential equation with multiple, distributed time delays ⋮ Stability of nonlinear waves in a ring of neurons with delays ⋮ Dynamics of unidirectionally-coupled ring neural network with discrete and distributed delays ⋮ Symmetry breaking in a model of antigenic variation with immune delay ⋮ MULTIPLE BIFURCATION ANALYSIS IN A NEURAL NETWORK MODEL WITH DELAYS ⋮ PATTERNS OF OSCILLATION IN A RING OF IDENTICAL CELLS WITH DELAYED COUPLING ⋮ Synchronized bifurcation and stability in a ring of diffusively coupled neurons with time delay ⋮ SYNCHRONIZATION AND DESYNCHRONIZATION IN A DELAYED DISCRETE NEURAL NETWORK ⋮ Hopf bifurcation analysis in synaptically coupled HR neurons with two time delays ⋮ The stability cone for a difference matrix equation with two delays ⋮ 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 ⋮ Multiple bifurcation analysis in a ring of delay coupled oscillators with neutral feedback ⋮ The breaking of a delayed ring neural network contributes to stability: the rule and exceptions ⋮ LOCAL AND GLOBAL HOPF BIFURCATION IN A TWO-NEURON NETWORK WITH MULTIPLE DELAYS ⋮ STABILITY, SYMMETRY-BREAKING BIFURCATIONS AND CHAOS IN DISCRETE DELAYED MODELS ⋮ Bifurcation analysis and spatiotemporal patterns of nonlinear oscillations in a ring lattice of identical neurons with delayed coupling ⋮ COMPLETE CLASSIFICATION OF EQUILIBRIA AND THEIR STABILITY IN A DELAYED NEURON NETWORK ⋮ Dynamics in three cells with multiple time delays ⋮ DYNAMICS IN TIME-DELAY RECURRENTLY COUPLED OSCILLATORS ⋮ Dynamics in a delayed-neural network ⋮ Analysis of stability and bifurcations of fixed points and periodic solutions of a lumped model of neocortex with two delays ⋮ Stability analysis of alternating wave solution in a Stuart-Landau system with time delay ⋮ Hopf bifurcation analysis in a synaptically coupled FHN neuron model with delays ⋮ Dynamical behaviors in time-delay systems with delayed feedback and digitized coupling ⋮ Codimension one and two bifurcations in a symmetrical ring network with delay ⋮ Global stability analysis for coupled control systems and its application: practical aspects and novel control ⋮ PATTERN FORMATION IN A RING NETWORK WITH DELAY ⋮ Unnamed Item ⋮ Equivariant Hopf bifurcation in a ring of identical cells with delay ⋮ Stability switches, Hopf bifurcations, and spatio-temporal patterns in a delayed neural model with bidirectional coupling ⋮ Synchronized Hopf bifurcation analysis in a neural network model with delays ⋮ Effects of asymmetric coupling and self-coupling on metastable dynamical transient rotating waves in a ring of sigmoidal neurons ⋮ Bifurcation and oscillation in a time-delay neural mass model ⋮ Bifurcation, amplitude death and oscillation patterns in a system of three coupled van der Pol oscillators with diffusively delayed velocity coupling
Uses Software
This page was built for publication: Stability and synchronization of a ring of identical cells with delayed coupling