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International Journal of Computer Mathematics Volume 85, 2008 - Issue 6: Computer Mathematics in Dynamics and Control
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Original Articles

The nonresonant double Hopf bifurcation in delayed neural network

J. Xu School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092, ChinaCorrespondence[email protected]
&
L. J. Pei Department of Mathematics, Zhengzhou University, Zhengzhou, 450052, Henan, China
Pages 925-935 | Received 03 Jan 2007, Accepted 30 Mar 2007, Published online: 06 Jun 2008

Citations (12)

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Read on this site (1)

Baogui Xin, Junhai Ma, Tong Chen & Qin Gao. (2011) Delay-induced Hopf bifurcation in a noise-driven excitable neuron model. International Journal of Computer Mathematics 88:15, pages 3255-3270.
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Articles from other publishers (11)

Jinbin Wang, Rui Zhang & Lifenq Ma. (2020) Double Hopf Bifurcation in Microbubble Oscillators with Delay Coupling. Advances in Mathematical Physics 2020, pages 1-9.
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Lijun Pei & Shuo Wang. (2019) Double Hopf bifurcation of differential equation with linearly state-dependent delays via MMS. Applied Mathematics and Computation 341, pages 256-276.
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Zi-Gen Song & Jian Xu. (2013) Stability switches and double Hopf bifurcation in a two-neural network system with multiple delays. Cognitive Neurodynamics 7:6, pages 505-521.
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Ben Niu & Weihua Jiang. (2012) Multiple scales for two-parameter bifurcations in a neutral equation. Nonlinear Dynamics 70:1, pages 43-54.
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Zigen Song & Bo Wang. (2012) Pitchfork and Hopf bifurcation in a delayed neural network system. Pitchfork and Hopf bifurcation in a delayed neural network system.
J. C. JI, X. Y. LI, Z. LUO & N. ZHANG. (2012) TWO-TO-ONE RESONANT HOPF BIFURCATIONS IN A QUADRATICALLY NONLINEAR OSCILLATOR INVOLVING TIME DELAY. International Journal of Bifurcation and Chaos 22:03, pages 1250060.
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Yanqiu Li, Weihua Jiang & Hongbin Wang. (2012) Double Hopf bifurcation and quasi-periodic attractors in delay-coupled limit cycle oscillators. Journal of Mathematical Analysis and Applications 387:2, pages 1114-1126.
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JUHONG GE & JIAN XU. (2012) WEAK RESONANT DOUBLE HOPF BIFURCATIONS IN AN INERTIAL FOUR-NEURON MODEL WITH TIME DELAY. International Journal of Neural Systems 22:01, pages 63-75.
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Lijun Pei, Qingyun Wang & Hongtao Shi. (2010) Bifurcation dynamics of the modified physiological model of artificial pancreas with insulin secretion delay. Nonlinear Dynamics 63:3, pages 417-427.
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Pei Lijun, Duan Lixia & Liu Huayan. (2010) Dynamics of the Coupled Lorenz-Rössler Systems. Dynamics of the Coupled Lorenz-Rössler Systems.
ZIGEN SONG & JIAN XU. (2011) BURSTING NEAR BAUTIN BIFURCATION IN A NEURAL NETWORK WITH DELAY COUPLING. International Journal of Neural Systems 19:05, pages 359-373.
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