Complex dynamics of a four neuron network model having a pair of short-cut connections with multiple delays
From MaRDI portal
Publication:355029
DOI10.1007/s11071-012-0742-2zbMath1268.92011OpenAlexW2088342610MaRDI QIDQ355029
Pritha Das, Amitava Kundu, A. B. Roy
Publication date: 22 July 2013
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-012-0742-2
Neural networks for/in biological studies, artificial life and related topics (92B20) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Computational methods for problems pertaining to biology (92-08)
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Cites Work
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- Bifurcations, stability, and monotonicity properties of a delayed neural network model
- Hopf bifurcation analysis of a four-neuron network with multiple time delays
- Stability and bifurcation analysis in tri-neuron model with time delay
- Stability switches and Hopf bifurcations in a pair of delay-coupled oscillators
- 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
- Bifurcation analysis of a class of neural networks with delays
- Stability switches, Hopf bifurcations, and spatio-temporal patterns in a delayed neural model with bidirectional coupling
- Determining Lyapunov exponents from a time series
- Artificial neural network-based low-dimensional model for spatio-temporally varying cellular flames
- Introduction to functional differential equations
- Stability in a model of a delayed neural network
- Stability in asymmetric Hopfield nets with transmission delays
- Temporal dynamics of a two-neuron continuous network model with time delay
- Hopf bifurcating periodic orbits in a ring of neurons with delays
- Global robust stability of delayed recurrent neural networks
- Chaos in a periodically forced predator-prey ecosystem model
- Stability and bifurcation in a neural network model with two delays.
- Chaos and Hopf bifurcation of a finance system
- 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
- Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system
- STABILITY SWITCHES OF TIME-DELAYED DYNAMIC SYSTEMS WITH UNKNOWN PARAMETERS
- STABILITY AND HOPF BIFURCATION ON A TWO-NEURON SYSTEM WITH TIME DELAY IN THE FREQUENCY DOMAIN
- Multiple attractors, long chaotic transients, and failure in small-world networks of excitable neurons
- Bifurcation analysis and spatio-temporal patterns of nonlinear oscillations in a delayed neural network with unidirectional coupling
- FAST AND ACCURATE CALCULATION OF LYAPUNOV EXPONENTS FOR PIECEWISE-LINEAR SYSTEMS
- The Structure and Function of Complex Networks
- CHAOS IN A THREE-DIMENSIONAL GENERAL MODEL OF NEURAL NETWORK
- STABILITY AND HOPF BIFURCATION OF A DELAYED NETWORK OF FOUR NEURONS WITH A SHORT-CUT CONNECTION
- Collective dynamics of ‘small-world’ networks
- Neural networks and physical systems with emergent collective computational abilities.
- Exploring complex networks
- Neurons with graded response have collective computational properties like those of two-state neurons.
