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Stability and Hopf Bifurcation Analysis of an (n+m)-Neuron Double-Ring Neural Network Model with Multiple Time Delays被引量：1: 《Journal of Systems Science & Complexity》2022年第1期159-178,共20页XING Ruitao XIAO Min ZHANG Yuezhong QIU Jianlong; supported by the National Natural Science Foundation of China under Grant Nos.61573194,62073172,61877033;the Natural Science Foundation of Jiangsu Province of China under Grant No.BK20181389。; Up till the present moment,researchers have always featured the single-ring neural network.These investigations,however,disregard the link between rings in neural networks.This paper highlights a high-dimensional doub...; 关键词：Coates’flow graph HIGH-DIMENSIONAL Hopf bifurcation STABILITY

EXISTENCE AND ANALYTICAL APPROXIMATIONS OF LIMIT CYCLES IN A THREE-DIMENSIONAL NONLINEAR AUTONOMOUS FEEDBACK CONTROL SYSTEM: 《Journal of Systems Science & Complexity》2014年第6期1158-1171,共14页CHEN Huaxiong SHEN Jianhe ZHOU Zheyan; supported by the National Natural Science Foundations of China under Grant Nos.11201072 and 11102041;the China Postdoctoral Science Foundation under Grant No.2011M500803;Education Department of Fujian Province under Grant No.JA10065; This paper is concerned with the existence and the analytical approximations of limit cycles in a three-dimensional nonlinear autonomous feedback control system.Based on three-dimensional Hopf bifurcation theorem,the ...; 关键词：Homotopy analysis method Hopf bifurcation limit cycle three-dimensional nonlinearautonomous system.

A SINGULAR BIOECONOMIC MODEL WITH DIFFUSION AND TIME DELAY: 《Journal of Systems Science & Complexity》2011年第2期277-290,共14页Qingling ZHANG Xue ZHANG Chao LIU; This work was supported by the National Science Foundation of China under Grant No. 60974004 and Natural Science Foundation of China under Grant No. 60904009.; This paper studies a prey-predator singular bioeconomic system with time delay and diffusion, which is described by differential-algebraic equations. For this system without diffusion, there exist three bifurcation ph...; 关键词：DIFFUSION hopf bifurcation singular bioeconomic model singularity induced bifurcation time delay transcritical bifurcation.

ROLE OF DIFFERENT SYSTEM DELAYS ON ECOLOGICAL FOOD CHAIN DYNAMICS:MATHEMATICAL MODELLING AND ANALYSIS被引量：1: 《Journal of Systems Science & Complexity》2010年第4期727-737,共11页R.BHATTACHARYYA Ashoke BERA B.MUKHOPADHYAY; supported by the Department of Science and Technology, Ministry of Human Resource Development, Govt. of India under Grant No. SR/S4/MS:296/05; This paper studies a three tier ecological food chain model consisting of nutrient,autotroph,and herbivore populations.Regeneration of nutrient from dead autotroph and herbivore biomass bydecomposers present in the so...; 关键词：AUTOTROPH DECOMPOSER gestation delay HERBIVORE hopf bifurcation recycling delay.

HOPF BIFURCATION ANALYSIS IN A 4D-HYPERCHAOTIC SYSTEM被引量：2: 《Journal of Systems Science & Complexity》2010年第4期748-758,共11页Kangming ZHANG Qigui YANG; supported by the National Natural Science Foundation of China under Grant Nos. 10871074, 10671105;the Natural Science Foundation of Guangdong Province of China under Grant No. 05300162; This paper investigates the Hopf bifurcation of a 4-dimensional hyperchaotic system withonly one equilibrium.A detailed set of conditions are derived,which guarantee the existence of theHopf bifurcation.Furthermore,th...; 关键词：CHAOS Hopf bifurcation HYPERCHAOS normal form stability.

HOPF BIFURCATION AND CHAOS OF FINANCIAL SYSTEM ON CONDITION OF SPECIFIC COMBINATION OF PARAMETERS被引量：2: 《Journal of Systems Science & Complexity》2008年第2期250-259,共10页Junhai MA Yaqiang CUI Lixia LIU; This research was supported by the National Natural Science Foundation of China under Grant No.60641006.; This paper studies the global bifurcation and Hopf bifurcation of one kind of complicated financial system with different parameter combinations. Conditions on which bifurcation happens, and the critical system struct...; 关键词：Chaos complicated financial system equilibrium ＂drift＂ Hopf bifurcation strange non- chaotic attractor.

ANALYSIS OF THE MECHANISM MODELS OF TECHNOLOGICAL INNOVATION DIFFUSION被引量：4: 《Journal of Systems Science & Complexity》2004年第3期369-376,共8页XUJiuping HUMinan; This research is supported by the National Science Foundation, P. R. C., under project NSF 70171021. Supported by the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of MOE, P. R. C. The project is supp; This paper analyzes the mechanism and principle of diffusion of technology diffusion on the basis of quantitative analysis. Then it sets up the diffusion model of innovation incorporating price, advertising and distri...; 关键词：DIFFUSION technological innovation dynamic system hopf bifurcation

LOCAL STABILITY AND BIFURCATION IN A THREE-UNIT DELAYED NEURAL NETWORK被引量：2: 《Journal of Systems Science & Complexity》2003年第1期46-52,共7页LINYiping LIJibin 等; This research is supported by the National Natural Science Foundation of China(No.19972058).; A system of three-unit networks with coupled cells is investigated.The general formula for bifurcation direction of Hopf bifurcation is calculated and the estimate formula of period of the periodic solution is given.; 关键词：Hopf bifurcation condition bifurcation direction delayed neural network.

GLOBAL STABILITY AND HOPF BIFURCATION OF AN SIS EPIDEMIC MODEL WITH TIME DELAYS被引量：8: 《Journal of Systems Science & Complexity》2001年第3期327-336,共10页YUAN Sanling MA Zhien (Department of Applied Mathematics, Xi’an Jiaotong University, Xi’an 710049, China); This research is supported by the National Natural Science Foundation of China(No. 19971066).; An SIS epidemic model with a discrete delay has been investigated in this article. By means of Liapunov functional, some sufficient conditions of global stability to endemic equilibrium and disease free equilibrium ha...; 关键词：Time delay LIAPUNOV functional EQUILIBRIA global stability bifurcation.

THE HOPF BIFURCATION DIRECTION OF A FOUR DIMENSIONAL ELECTRONIC NEURAL NETWORK SYSTEM被引量：2: 《Systems Science and Mathematical Sciences》1997年第4期337-343,共7页LIN Yiping LI Jibin(Institute of Applied Mathematics of Yunnan Province, Kunming University of Science and Technology, Kunming 650093, China)CAO Jinde(College of Adult Education, Yunnan University, Kunming 650091, China); In this paper we give an applicable parameter formula about the bifurcationand stability of periodic solution for a four-dimensional differential system. By using thisresult in a simple electronic neural network syste...; 关键词：HOPF BIFURCATION CONDITION BIFURCATION direction network system.

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