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Bifurcation control of a fractional-order delayed competition and cooperation model of two enterprises

Science China(Technological Sciences) 2019年第12期62卷 2130-2143页

作者： XU ChangJin liao maoxin LI PeiLuan Guizhou Key Laboratory of Economics System Simulation Guizhou University of Finance and EconomicsGuiyang 50004China School of Mathematics and Physics University of Souh ChinaHengyang 421001China School of Mathematics and Statistics Henan University of Science and TechnologyLuoyang 471023China

The competition and cooperation among enterprises has become a hot topic and focus issue in today’s world. How to manage the enterprise well so as to achieve the maximum output is an important problem for enterprise managers. Optimizing output of two enterprises plays a key role in operating enterprises. Many scholars pay much attention to this aspect. However, the reports on the stability and Hopf bifurcation for fractional-order delayed competition and cooperation model of two enterprises are very few. This paper is concerned with the stability, the existence of Hopf bifurcation and the bifurcation control issue of fractionalorder delayed competition and cooperation model of two enterprises. Firstly, some new sufficient conditions that guarantee the stability and the existence of Hopf bifurcation for fractional-order delayed competition and cooperation model of two enterprises are obtained by regarding the delay as bifurcation parameter. Then a suitable time delayed feedback controller is designed to control the Hopf bifurcation for involved model. The study shows that the delay and the fractional order have an important effect on the stability and Hopf bifurcation of involved model. Some simulations justifying the validity of the derived analytical results are given. At last, we end this paper with a concise conclusion. The obtained results of this article are innovative and are of great significance in handling the competition and cooperation among enterprises.

关键词： bifurcation control competition and cooperation model enterprise stability hopf bifurcation fractional order delay

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Influence of time delay on weighted pseudo-almost periodic dynamics in SICNNs

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International Journal of Intelligent Computing and Cybernetics 2019年第2期12卷 260-273页

作者： Changjin Xu maoxin liao Peiluan Li Guizhou University of Finance and Economics GuiyangChina University of South China HengyangChina Henan University of Science and Technology LuoyangChina

Purpose–The purpose of this paper is to investigate the weighted pseudo-almost periodic solutions of shunting inhibitory cellular neural networks(SICNNs)with time-varying delays and distributed ***/methodology/approach–The principle of weighted pseudo-almost periodic functions and some new mathematical analysis skills are ***–A set of sufficient criteria which guarantee the existence and exponential stability of the weighted pseudo-almost periodic solutions of the considered SICNNs are ***/value–The derived results of this paper are new and complement some earlier *** innovation of this paper concludes two points:a new sufficient criteria guaranteeing the existence and exponential stability of the weighted pseudo-almost periodic solutions of SICNNs are established;and the ideas of this paper can be applied to investigate some other similar neural networks.

关键词： Weighted pseudo-almost periodic solution Shunting inhibitory cellular neural networks,Exponential stability Time-varying delays Distributed delays

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IDENTIFICATION OF PARAMETERS IN PARABOLIC EQUATIONS WITH NONLINEARITY

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Annals of Differential Equations 2010年第1期26卷 94-99页

作者： Youjun Xu, maoxin liao (School of Math. and Physics, University of South China, Hengyang 421001, Hunan) Zhenhai Liu (School of Mathematical Sciences and Computing Technology, Central South University, Changsha 410075)

In this paper, we consider the identification of parameters in parabolic equations with nonlinearity. Some approximation processes for the identification problem are given. Our results improve and generalize the previ... 详细信息

关键词： identification Carleman inequality parabolic equations

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