Hopf bifurcation analysis of a four-neuron network with multiple time delays
From MaRDI portal
Publication:840528
DOI10.1007/s11071-008-9348-0zbMath1169.92004OpenAlexW1966629630MaRDI QIDQ840528
Publication date: 11 September 2009
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-008-9348-0
Probabilistic models, generic numerical methods in probability and statistics (65C20) Learning and adaptive systems in artificial intelligence (68T05) Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)
Related Items (18)
STABILITY AND BIFURCATION FOR A CLASS OF TRI-NEURON NETWORKS WITH BIDIRECTIONALLY DELAYED CONNECTIONS AND SELF-FEEDBACK ⋮ Stability and bifurcation analysis in a FAST TCP model with feedback delay ⋮ Oscillation dynamics of MeKS core module containing positive and negative feedback loops with time delay ⋮ Complex dynamics of a four neuron network model having a pair of short-cut connections with multiple delays ⋮ Oscillation dynamic mechanism driven by time delays in the competent gene regulatory circuit of B. subtilis ⋮ Effects of multiple delays on dynamics of a five-neuron network model ⋮ Periodicity in a class of systems of delay difference equations ⋮ Hidden extreme multistability with hyperchaos and transient chaos in a Hopfield neural network affected by electromagnetic radiation ⋮ Stability switches, bifurcation, and multi-stability of coupled networks with time delays ⋮ Synchronization of unknown chaotic delayed competitive neural networks with different time scales based on adaptive control and parameter identification ⋮ Periodic Oscillations in the Quorum-Sensing System with Time Delay ⋮ Hopf bifurcations in Lengyel-Epstein reaction-diffusion model with discrete time delay ⋮ DYNAMICS IN TIME-DELAY RECURRENTLY COUPLED OSCILLATORS ⋮ Stabilization of metastable dynamical rotating waves in a ring of unidirectionally coupled sigmoidal neurons due to shortcuts ⋮ STOCHASTIC RESONANCE IN A BISTABLE SYSTEM DRIVEN BY WEAK PERIODIC SIGNAL WITH MULTIPLE DELAYS ⋮ Delay Effects on the Dynamics of the Lengyel–Epstein Reaction-Diffusion Model ⋮ EFFECTS OF SHORT-CUT IN A DELAYED RING NETWORK ⋮ Hopf bifurcations of a Lengyel-Epstein model involving two discrete time delays
Cites Work
- Unnamed Item
- Unnamed Item
- Bifurcations, stability, and monotonicity properties of a delayed neural network model
- Stability and bifurcation analysis in tri-neuron model with time delay
- Bifurcation analysis in a simplified tri-neuron BAM network model with multiple delays
- Stability and Hopf bifurcation analysis on a four-neuron BAM neural network with time delays
- Hopf bifurcating periodic orbits in a ring of neurons with delays
- Stability and bifurcation in a neural network model with two delays.
- Chaos and its synchronization in two-neuron systems with discrete delays
- Stability, bifurcation and global existence of a Hopf-bifurcating periodic solution for a class of three-neuron delayed network models
- Dynamics in a delayed-neural network
- Hopf bifurcation analysis for a two-neuron network with four delays
- Hopf bifurcation analysis of two neurons with three delays
- Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system
- Synchronized Hopf bifurcation analysis in a neural network model with delays
- STABILITY SWITCHES OF TIME-DELAYED DYNAMIC SYSTEMS WITH UNKNOWN PARAMETERS
- LOCAL AND GLOBAL HOPF BIFURCATION IN A TWO-NEURON NETWORK WITH MULTIPLE DELAYS
- The Structure and Function of Complex Networks
- Stability, Bifurcation, and Multistability in a System of Two Coupled Neurons with Multiple Time Delays
- Delayed Coupling Between Two Neural Network Loops
- “Delay Scheduling”: A New Concept for Stabilization in Multiple Delay Systems
- DYNAMICS OF A TWO-DIMENSIONAL DELAYED SMALL-WORLD NETWORK UNDER DELAYED FEEDBACK CONTROL
- BIFURCATION ANALYSIS OF A DELAYED DYNAMIC SYSTEM VIA METHOD OF MULTIPLE SCALES AND SHOOTING TECHNIQUE
- STABILITY AND HOPF BIFURCATION OF A DELAYED NETWORK OF FOUR NEURONS WITH A SHORT-CUT CONNECTION
- Collective dynamics of ‘small-world’ networks
- Exploring complex networks
- HOPF BIFURCATION OF A TWO-NEURON NETWORK WITH DIFFERENT DISCRETE TIME DELAYS
- Bifurcation analysis and existence of periodic solutions in a simple neural network with delays
- Stabilization role of inhibitory self-connections in a delayed neural network
- Bifurcations in a planar system of differential delay equations modeling neural activity
This page was built for publication: Hopf bifurcation analysis of a four-neuron network with multiple time delays
