Stability, bifurcations and synchronization in a delayed neural network model of \(n\)-identical neurons

DOI10.1016/j.matcom.2015.07.006OpenAlexW2226325052MaRDI QIDQ2228753

Pritha Das, Amitava Kundu, A. B. Roy

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2015.07.006

zbMATH Keywords

bifurcationglobal stabilitylocal stabilitysynchronizationmultiple-delay

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Computer science (68-XX)

Related Items

Global exponential stability for quaternion-valued recurrent neural networks with time-varying delays, Stability and Hopf bifurcation for a quaternion-valued three-neuron neural network with leakage delay and communication delay, Complex dynamics of a three-dimensional continuous-time autonomous system, An event-triggered synchronization of semi-Markov jump neural networks with time-varying delays based on generalized free-weighting-matrix approach, A review and guidance for pattern selection in spatiotemporal system

Cites Work

• Unnamed Item
• Cluster synchronization in an array of hybrid coupled neural networks with delay
• Complex dynamics of a four neuron network model having a pair of short-cut connections with multiple delays
• Bifurcation and control in a neural network with small and large delays
• Hopf bifurcation in an \(n\)-dimensional Goodwin model via multiple delays feedback
• Bifurcations, stability, and monotonicity properties of a delayed neural network model
• Delay-dependent asymptotic stability of a two-neuron system with different time delays
• Stability switches, Hopf bifurcations, and spatio-temporal patterns in a delayed neural model with bidirectional coupling
• Classification and unfoldings of degenerate Hopf bifurcations
• The dynamics of \(n\) weakly coupled identical oscillators
• Synchronization and stable phase-locking in a network of neurons with memory.
• Synchronization of switched interval networks and applications to chaotic neural networks
• Matrix measure strategies for stability and synchronization of inertial BAM neural network with time delays
• Dynamics in a delayed-neural network
• Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system
• Stability, Bifurcation, and Multistability in a System of Two Coupled Neurons with Multiple Time Delays
• Global stability conditions for delayed CNNs
• CHAOS IN A THREE-DIMENSIONAL GENERAL MODEL OF NEURAL NETWORK
• Frustration, Stability, and Delay-Induced Oscillations in a Neural Network Model
• Neural networks and physical systems with emergent collective computational abilities.