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Dynamics in a Delayed Neural Network Model of Two Neurons with Inertial Coupling

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  • Changjin Xu
  • Peiluan Li

Abstract

A delayed neural network model of two neurons with inertial coupling is dealt with in this paper. The stability is investigated and Hopf bifurcation is demonstrated. Applying the normal form theory and the center manifold argument, we derive the explicit formulas for determining the properties of the bifurcating periodic solutions. An illustrative example is given to demonstrate the effectiveness of the obtained results.

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  • Changjin Xu & Peiluan Li, 2012. "Dynamics in a Delayed Neural Network Model of Two Neurons with Inertial Coupling," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-17, August.
    • Handle: RePEc:hin:jnlaaa:689319
    DOI: 10.1155/2012/689319
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