The Bogdanov-Takens bifurcation study of 2m coupled neurons system with 2 m + 1 $2m+1$ delays-Reference-Cited by-同舟云学术

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The Bogdanov-Takens bifurcation study of 2m coupled neurons system with 2 m + 1 $2m+1$ delays

Published:2015-10-24 Issue:1 Volume:2015 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Liu Yanwei,Liu Xia,Li Shanshan,Wang Ruiqi,Liu Zengrong

Funder

the National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13662-015-0646-9.pdf

Reference23 articles.

1. Faria, T, Magalhaes, LT: Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity. J. Differ. Equ. 122, 201-224 (1995)

2. Faria, T, Magalhaes, LT: Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation. J. Differ. Equ. 122, 181-200 (1995)

3. Xu, Y, Huang, M: Homoclinic orbits and Hopf bifurcations in delay differential systems with TB singularity. J. Differ. Equ. 244, 582-598 (2008)

4. Song, Z, Xu, J: Stability switches and multi stability coexistence in a delay-coupled neural oscillators system. J. Theor. Biol. 313, 98-114 (2012)

5. Song, Z, Xu, J: Stability switches and double Hopf bifurcation in a two-neural network system with multiple delays. Cogn. Neurodyn. 7, 505-521 (2013)

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1. Reduction and normal forms for a delayed reaction–diffusion differential system with B–T singularity;Advances in Difference Equations;2019-05-27

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