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

Sue Ann Campbell, Yuan Yuan

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




Related Items (47)

Equivariant normal forms for parameterized delay differential equations with applications to bifurcation theoryA novel approach to synchronization of nonlinearly coupled network systems with delaysOn the stability of the Cartesian product of a neural ring and an arbitrary neural networkAN EFFICIENT METHOD FOR STUDYING FOLD-HOPF BIFURCATION IN DELAYED NEURAL NETWORKSSYNCHRONOUS/ASYNCHRONOUS PATTERNS IN THREE-CELL NETWORKS WITH MULTIPLE TIME DELAYSStability switches, oscillatory multistability, and spatio-temporal patterns of nonlinear oscillations in recurrently delay coupled neural networksRich dynamics in a non-local population model over three patchesSingularity analysis on a planar system with multiple delaysZero singularities in a ring network with two delaysMultiple scales and normal forms in a ring of delay coupled oscillators with application to chaotic Hindmarsh-Rose neuronsDynamics of delay-coupled FitzHugh-Nagumo neural ringsSTABILITY AND HOPF BIFURCATION OF A DELAYED NETWORK OF FOUR NEURONS WITH A SHORT-CUT CONNECTIONStability in a scalar differential equation with multiple, distributed time delaysStability of nonlinear waves in a ring of neurons with delaysDynamics of unidirectionally-coupled ring neural network with discrete and distributed delaysSymmetry breaking in a model of antigenic variation with immune delayMULTIPLE BIFURCATION ANALYSIS IN A NEURAL NETWORK MODEL WITH DELAYSPATTERNS OF OSCILLATION IN A RING OF IDENTICAL CELLS WITH DELAYED COUPLINGSynchronized bifurcation and stability in a ring of diffusively coupled neurons with time delaySYNCHRONIZATION AND DESYNCHRONIZATION IN A DELAYED DISCRETE NEURAL NETWORKHopf bifurcation analysis in synaptically coupled HR neurons with two time delaysThe stability cone for a difference matrix equation with two delaysStability switches, bifurcation, and multi-stability of coupled networks with time delaysSpatio-temporal patterns of Hopf bifurcating periodic oscillations in a pair of identical tri-neuron network loopsMultiple bifurcation analysis in a ring of delay coupled oscillators with neutral feedbackThe breaking of a delayed ring neural network contributes to stability: the rule and exceptionsLOCAL AND GLOBAL HOPF BIFURCATION IN A TWO-NEURON NETWORK WITH MULTIPLE DELAYSSTABILITY, SYMMETRY-BREAKING BIFURCATIONS AND CHAOS IN DISCRETE DELAYED MODELSBifurcation analysis and spatiotemporal patterns of nonlinear oscillations in a ring lattice of identical neurons with delayed couplingCOMPLETE CLASSIFICATION OF EQUILIBRIA AND THEIR STABILITY IN A DELAYED NEURON NETWORKDynamics in three cells with multiple time delaysDYNAMICS IN TIME-DELAY RECURRENTLY COUPLED OSCILLATORSDynamics in a delayed-neural networkAnalysis of stability and bifurcations of fixed points and periodic solutions of a lumped model of neocortex with two delaysStability analysis of alternating wave solution in a Stuart-Landau system with time delayHopf bifurcation analysis in a synaptically coupled FHN neuron model with delaysDynamical behaviors in time-delay systems with delayed feedback and digitized couplingCodimension one and two bifurcations in a symmetrical ring network with delayGlobal stability analysis for coupled control systems and its application: practical aspects and novel controlPATTERN FORMATION IN A RING NETWORK WITH DELAYUnnamed ItemEquivariant Hopf bifurcation in a ring of identical cells with delayStability switches, Hopf bifurcations, and spatio-temporal patterns in a delayed neural model with bidirectional couplingSynchronized Hopf bifurcation analysis in a neural network model with delaysEffects of asymmetric coupling and self-coupling on metastable dynamical transient rotating waves in a ring of sigmoidal neuronsBifurcation and oscillation in a time-delay neural mass modelBifurcation, 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