Study on stability of systems with forced term

doi:10.7523/j.issn.2095-6134.2017.03.002

›› 2017, Vol. 34 ›› Issue (3): 277-288.DOI: 10.7523/j.issn.2095-6134.2017.03.002

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Study on stability of systems with forced term

GUO Laigang, CHEN Yufu

School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

Received:2016-07-07 Revised:2016-11-08 Online:2017-05-15
Supported by:
Supported by the National Natural Science Foundation of China (11271363)

Abstract

Abstract: In this work, the system with forced term is considered. Two methods for adding the forced term to the differential dynamical systems for asymptotic stability are given. The first method is based on Lyapunov's direct method, and the second method is a new method based on stability analysis of Hopf bifurcations. The new method has a discriminant which is a rational expression consisting of the coefficients in the original system. Some further researches for adding forced term are also presented.

Key words: asymptotic stability, forced term, nonlinear system, Hopf bifurcation

CLC Number:

O192

GUO Laigang, CHEN Yufu. Study on stability of systems with forced term[J]. , 2017, 34(3): 277-288.

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Study on stability of systems with forced term

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