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  1. Zeitschrift für angewandte Mathematik und Physik
  2. Zeitschrift für angewandte Mathematik und Physik : Volume 64
  3. Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 2, April 2013
  4. Zero singularities in a ring network with two delays
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Zeitschrift für angewandte Mathematik und Physik : Volume 67
Zeitschrift für angewandte Mathematik und Physik : Volume 66
Zeitschrift für angewandte Mathematik und Physik : Volume 65
Zeitschrift für angewandte Mathematik und Physik : Volume 64
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 6, December 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 5, October 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 4, August 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 3, June 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 2, April 2013
Zero singularities in a ring network with two delays
On entropy weak solutions of Hughes’ model for pedestrian motion
Non-simultaneous blow up for coupled nonlinear diffusion equations with absorptions
Orbital stability for periodic standing waves of the Klein–Gordon–Zakharov system and the beam equation
Existence of locally momentum conserving solutions to a model for heat-conducting flow
Fujita phenomenon in inhomogeneous fast diffusion system
A minimum principle for a soap film problem in $${\mathbb{R}^{2}}$$
An approximated model of multi-temperature mixtures for the description of second sound propagation
A macroscopic model for magnetic shape-memory single crystals
Penny-shaped crack in a plate of finite thickness subjected to a uniform shearing stress
The multiple nature of concentrated interactions in second-gradient dissipative liquids
Electromagnetism on anisotropic fractal media
Restrictions placed on constitutive relations by angular momentum balance and Galilean invariance
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 1, February 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 63
Zeitschrift für angewandte Mathematik und Physik : Volume 62
Zeitschrift für angewandte Mathematik und Physik : Volume 61
Zeitschrift für angewandte Mathematik und Physik : Volume 60
Zeitschrift für angewandte Mathematik und Physik : Volume 59
Zeitschrift für angewandte Mathematik und Physik : Volume 58
Zeitschrift für angewandte Mathematik und Physik : Volume 57
Zeitschrift für angewandte Mathematik und Physik : Volume 56
Zeitschrift für angewandte Mathematik und Physik : Volume 55
Zeitschrift für angewandte Mathematik und Physik : Volume 54
Zeitschrift für angewandte Mathematik und Physik : Volume 53
Zeitschrift für angewandte Mathematik und Physik : Volume 52
Zeitschrift für angewandte Mathematik und Physik : Volume 51
Zeitschrift für angewandte Mathematik und Physik : Volume 50
Zeitschrift für angewandte Mathematik und Physik : Volume 49
Zeitschrift für angewandte Mathematik und Physik : Volume 48

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Zero singularities in a ring network with two delays

Content Provider SpringerLink
Author Guo, Shangjiang
Copyright Year 2012
Abstract In this paper, we consider a neural network model consisting of three neurons with delayed self- and nearest-neighbor connections. We provide multiple bifurcations of the zero solution of the system near zero eigenvalue singularity. Taking the coupling coefficients as the bifurcation parameters, four kinds of zero singularities are demonstrated through center manifold reduction and normal form calculation.
Ending Page 222
Page Count 22
Starting Page 201
File Format PDF
ISSN 00442275
e-ISSN 14209039
Journal Zeitschrift für angewandte Mathematik und Physik
Issue Number 2
Volume Number 64
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2012-07-18
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Bogdanov–Takens Mathematical Methods in Physics Homoclinic orbit Bifurcation theory Ring network Theoretical and Applied Mechanics Delay Symmetry Neural networks, artificial life and related topics
Content Type Text
Resource Type Article
Subject Applied Mathematics Physics and Astronomy
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