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2013 Stability Analysis of Complex-Valued Nonlinear Differential System
Tao Fang, Jitao Sun
J. Appl. Math. 2013: 1-7 (2013). DOI: 10.1155/2013/621957


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.


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Tao Fang. Jitao Sun. "Stability Analysis of Complex-Valued Nonlinear Differential System." J. Appl. Math. 2013 1 - 7, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.93134
MathSciNet: MR3064886
Digital Object Identifier: 10.1155/2013/621957

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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