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Stability Analysis of Complex‐Valued Nonlinear Differential System

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  • Tao Fang
  • Jitao Sun

Abstract

This paper studies the stability of complex‐valued nonlinear differential system. The stability criteria of complex‐valued nonlinear autonomous system are established. For the general complex‐valued nonlinear non‐autonomous system, the comparison principle in the context of complex fields is given. Those derived stability criteria not only provide a new method to analyze complex‐valued differential system, but also greatly reduce the complexity of analysis and computation.

Suggested Citation

  • Tao Fang & Jitao Sun, 2013. "Stability Analysis of Complex‐Valued Nonlinear Differential System," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:621957
    DOI: 10.1155/2013/621957
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    References listed on IDEAS

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