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An Algebraic Criterion of Zero Solutions of Some Dynamic Systems

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  • Ying Wang
  • Baodong Zheng
  • Chunrui Zhang

Abstract

We establish some algebraic results on the zeros of some exponential polynomials and a real coefficient polynomial. Based on the basic theorem, we develop a decomposition technique to investigate the stability of two coupled systems and their discrete versions, that is, to find conditions under which all zeros of the exponential polynomials have negative real parts and the moduli of all roots of a real coefficient polynomial are less than 1.

Suggested Citation

  • Ying Wang & Baodong Zheng & Chunrui Zhang, 2012. "An Algebraic Criterion of Zero Solutions of Some Dynamic Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:956359
    DOI: 10.1155/2012/956359
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    References listed on IDEAS

    as
    1. Zhang, Chunrui & Zheng, Baodong, 2007. "Stability and bifurcation of a two-dimension discrete neural network model with multi-delays," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1232-1242.
    2. Li, Xiuling & Wei, Junjie, 2005. "On the zeros of a fourth degree exponential polynomial with applications to a neural network model with delays," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 519-526.
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    Cited by:

    1. Meng Yang & Xinxi Xu & Chen Su, 2013. "A Study on Vibration Characteristics and Stability of the Ambulance Nonlinear Damping System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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