The Bogdanov-Takens bifurcation study of \(2m\) coupled neurons system with \(2m+1\) delays
DOI10.1186/S13662-015-0646-9zbMath1422.34205OpenAlexW1881321939WikidataQ59436550 ScholiaQ59436550MaRDI QIDQ1622774
Yanwei Liu, Shanshan Li, Ruiqi Wang, Xia Liu, Zeng-Rong Liu
Publication date: 19 November 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-015-0646-9
Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Bifurcation theory of functional-differential equations (34K18)
Related Items (1)
Cites Work
- Stability switches and multistability coexistence in a delay-coupled neural oscillators system
- Stability and bifurcation analysis in a system of four coupled neurons with multiple delays
- Codimension-two bursting analysis in the delayed neural system with external stimulations
- Bogdanov-Takens singularity in Van der Pol's oscillator with delayed feedback
- Fold-Hopf bifurcation in a simplified four-neuron BAM (bidirectional associative memory) neural network with two delays
- Stability and Hopf bifurcation of an \(n\)-neuron Cohen-Grossberg neural network with time delays
- Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays
- Bogdanov-Takens bifurcation in an oscillator with negative damping and delayed position feedback
- Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
- Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
- The bifurcation study of 1:2 resonance in a delayed system of two coupled neurons
- Multiple pitchfork bifurcations and multiperiodicity coexistences in a delay-coupled neural oscillator system with inhibitory-to-inhibitory connection
- Zero singularity of codimension two or three in a four-neuron BAM neural network model with multiple delays
- Two-parameter bifurcations in a network of two neurons with multiple delays
- Homoclinic orbits and Hopf bifurcations in delay differential systems with T-B singularity
- Singularity analysis on a planar system with multiple delays
- Zero singularities of codimension two and three in delay differential equations
- BIFURCATION AND CHAOS ANALYSIS FOR A DELAYED TWO-NEURAL NETWORK WITH A VARIATION SLOPE RATIO IN THE ACTIVATION FUNCTION
This page was built for publication: The Bogdanov-Takens bifurcation study of \(2m\) coupled neurons system with \(2m+1\) delays
