Neimark-Sacker bifurcation analysis for a discrete-time system of two neurons
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Publication:448730
DOI10.1155/2012/546356zbMath1251.93079OpenAlexW2085301107WikidataQ58695494 ScholiaQ58695494MaRDI QIDQ448730
Publication date: 7 September 2012
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/546356
global stabilityHopf bifurcationcenter manifold theoremNeimark-Sacker bifurcationdiscrete-time systemnormal form theorynetwork with two neurons
Discrete-time control/observation systems (93C55) Asymptotic stability in control theory (93D20) Dynamical systems in control (37N35)
Cites Work
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- Convergence and periodicity in a discrete-time network of two neurons with self-connections
- Bifurcations, stability, and monotonicity properties of a delayed neural network model
- Retarded differential equations with piecewise constant delays
- Advanced differential equations with piecewise constant argument deviations
- Dynamics of a hysteretic neuron model
- LMI-based criteria for stability of high-order neural networks with time-varying delay
- Bifurcation analysis on a discrete-time tabu learning model
- Stability and Hopf bifurcation analysis on a four-neuron BAM neural network with time delays
- Elements of applied bifurcation theory.
- Stability in asymmetric Hopfield nets with transmission delays
- Stability and bifurcation analysis on a discrete-time neural network
- Stability and bifurcation analysis on a discrete-time system of two neurons.
- Stability and bifurcation in a neural network model with two delays.
- Convergence and periodicity of solutions for a discrete-time network model of two neurons
- Delay induced periodicity in a neural netlet of excitation and inhibition
- Pinning adaptive synchronization of a general complex dynamical network
- Hopf bifurcation and stability analysis on discrete-time Hopfield neural network with delay
- Invariant and attracting sets of Hopfield neural networks with delay
- Stability, Bifurcation, and Multistability in a System of Two Coupled Neurons with Multiple Time Delays
- Characterizing the Synchronizability of Small-World Dynamical Networks
- A time-varying complex dynamical network model and its controlled synchronization criteria
- Neurons with graded response have collective computational properties like those of two-state neurons.
- FOURTH-ORDER NEARLY-SYMMETRIC CNNS EXHIBITING COMPLEX DYNAMICS
- Discrete-time analogues of integrodifferential equations modelling bidirectional neural networks
