Hopf-zero bifurcation in a generalized Gopalsamy neural network model
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Publication:354294
DOI10.1007/s11071-012-0511-2zbMath1268.34131OpenAlexW2125664084MaRDI QIDQ354294
Weihua Jiang, Yuting Ding, Pei Yu
Publication date: 18 July 2013
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-012-0511-2
Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcation theory of functional-differential equations (34K18) Multiple scale methods for ordinary differential equations (34E13)
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Cites Work
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- Delay-induced primary rhythmic behavior in a two-layer neural network
- Criteria for exponential stability of Cohen-Grossberg neural networks
- Hopf-transcritical bifurcation in retarded functional differential equations
- Order reduction of retarded nonlinear systems - the method of multiple scales versus center-manifold reduction
- Stability and bifurcation analysis in tri-neuron model with time delay
- Bogdanov-Takens singularity in Van der Pol's oscillator with delayed feedback
- Bifurcation analysis in a simplified tri-neuron BAM network model with multiple delays
- Global Hopf bifurcation analysis on a BAM neural network with delays
- Global asymptotic stability of delayed bi-directional associative memory neural networks
- Hopf bifurcating periodic orbits in a ring of neurons with delays
- Delay-independent stability analysis of Cohen-Grossberg neural networks
- Analysis on double Hopf bifurcation using computer algebra with the aid of multiple scales
- Harmless delays in Cohen-Grossberg neural networks
- Global existence of periodic solutions in a tri-neuron network model with delays
- Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays
- Frequency domain analysis for bifurcation in a simplified tri-neuron BAM network model with two delays
- Exponential stability of continuous-time and discrete-time cellular neural networks with delays
- Multiple scales without center manifold reductions for delay differential equations near Hopf bifurcations
- Hopf bifurcation in bidirectional associative memory neural networks with delays: Analysis and computation
- Boundedness and stability for Cohen--Grossberg neural network with time-varying delays
- Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
- Stability, bifurcation and global existence of a Hopf-bifurcating periodic solution for a class of three-neuron delayed network models
- Two-parameter bifurcations in a network of two neurons with multiple delays
- Dynamics in a delayed-neural network
- Hopf bifurcation analysis of two neurons with three delays
- Double Hopf bifurcation for van der Pol-Duffing oscillator with parametric delay feedback control
- Global asymptotic stability of Cohen-Grossberg neural networks with constant and variable delays
- Synchronized Hopf bifurcation analysis in a neural network model with delays
- DOUBLE HOPF BIFURCATION IN DELAYED VAN DER POL–DUFFING EQUATION
- COMPUTATION OF NORMAL FORMS VIA A PERTURBATION TECHNIQUE
- SYMBOLIC COMPUTATION OF NORMAL FORMS FOR RESONANT DOUBLE HOPF BIFURCATIONS USING A PERTURBATION TECHNIQUE
- LOCAL AND GLOBAL HOPF BIFURCATION IN A TWO-NEURON NETWORK WITH MULTIPLE DELAYS
- Zero singularities of codimension two and three in delay differential equations
- Cellular neural networks: theory
- Global Attractivity in Delayed Hopfield Neural Network Models
- Neurons with graded response have collective computational properties like those of two-state neurons.
- Equivariant Hopf bifurcation in a ring of identical cells with delayed coupling
- Elements of applied bifurcation theory
- Bifurcation analysis of a two-neuron system with distributed delays
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