Stability Analysis of Complex‐Valued Nonlinear Differential System

Tao Fang and Jitao Sun

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/621957

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:621957

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