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Stability Analysis of Complex-Valued Nonlinear Differential System
Author(s) -
Tao Fang,
Jitao Sun
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/621957
Subject(s) - nonlinear system , stability (learning theory) , context (archaeology) , mathematics , complex system , differential (mechanical device) , computation , control theory (sociology) , computer science , algorithm , artificial intelligence , control (management) , engineering , paleontology , physics , quantum mechanics , machine learning , biology , aerospace engineering
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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