HOPF_BIFURCATION

作品数：309被引量：353H指数：9
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Stability switches mechanism and PID control in reaction-diffusion network-organized neural systems with transmission delays
《Science China(Technological Sciences)》2025年第2期199-215,共17页Xiangyu DU Min XIAO Wenwu YU Jiajin HE 
supported by the National Natural Science Foundation of China(Grant Nos.62073172,62233004,62073076);the Natural Science Foundation of Jiangsu Province of China(Grant No.BK20221329);Jiangsu Provincial Scientific Research Center of Applied Mathematics(Grant No.BK20233002).
Traditionally,the spatiotemporal dynamics of neural networks have been analyzed in the locally continuous domain.While this modeling approach is straightforward and practical,it fails to encapsulate real-world network...
关键词：complex network neural networks PID control turing instability hopf bifurcation time delays turing pattern 
Stability and bifurcation control of a neuron system under a novel fractional-order PD controller被引量：3
《Science China(Technological Sciences)》2019年第12期2120-2129,共10页SHI Shuo XIAO Min RONG LiNa ZHENG WeiXing TAO BinBin CHENG ZunShui XU FengYu 
supported by the National Natural Science Foundation of China(Grant Nos. 61573194, 51775284);the Natural Science Foundation of Jiangsu Province of China(Grant Nos. BK20181389, BK20171441);the Key Project of Philosophy and Social Science Research in Colleges and Universities in Jiangsu Province(Grant No. 2018SJZDI142);the Australian Research Council(Grant No. DP120104986)
In this paper, we address the problem of bifurcation control for a delayed neuron system. By introducing a new fractional-order Proportional-Derivative(PD) feedback controller, this paper aims to control the stability...
关键词：Hopf bifurcation fractional-order PD controller neuron system time delay 
Bifurcation control of a fractional-order delayed competition and cooperation model of two enterprises被引量：3
《Science China(Technological Sciences)》2019年第12期2130-2143,共14页XU ChangJin LIAO MaoXin LI PeiLuan 
supported by the National Natural Science Foundation of China(Grant No.61673008);the Project of High-level Innovative Talents of Guizhou Province(Grant No.[2016]5651);Major Research Project of the Innovation Group of the Education Department of Guizhou Province(Grant No.[2017]039);the Project of Key Laboratory of Guizhou Province with Financial and Physical Features(Grant No.[2017]004);the Foundation of Science and Technology of Guizhou Province(Grant Nos.[2018]1025and [2018]1020)
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 ...
关键词：bifurcation control competition and cooperation model ENTERPRISE stability hopf bifurcation fractional order DELAY 
Stochastic dynamics of conduction failure of action potential along nerve fiber with Hopf bifurcation被引量：3
《Science China(Technological Sciences)》2019年第9期1502-1511,共10页ZHANG XinJing GU HuaGuang GUAN LiNan 
supported by the National Natural Science Foundation of China(Grant Nos.11872276,11572225)
Action potentials can be induced by external electronic impulsive stimulations applied at one end of the unmyelinated fibers(C-fibers), while some action potentials fail to conduct to the other end of the fiber when t...
关键词：neural FIRING conduction FAILURE HOPF bifurcation periodic pulse STIMULUS C-FIBER 
Bifurcation analysis for vibrations of a turbine blade excited by air flows被引量：7
《Science China(Technological Sciences)》2016年第8期1217-1231,共15页WANG Dan CHEN YuShu HAO ZhiFeng CAO QingJie 
supported by the National Basic Research Program of China(“973” Project)(Grant No.2015CB057405);the National Natural Science Foundation of China(Grant No.11372082);the State Scholarship Fund of CSC
A reduced three-degree-of-freedom model simulating the fluid-structure interactions （FSI） of the turbine blades and the on- coming air flows is proposed. The equations of motions consist of the coupling of bending a...
关键词：fluid-structure interaction （FSI） internal resonance two-parameter bifurcation diagram saddle-node bifurcation Hopf bifurcation direct numerical simulation 
Bifurcation analysis for Hindmarsh-Rose neuronal model with time-delayed feedback control and application to chaos control被引量：20
《Science China(Technological Sciences)》2014年第5期872-878,共7页WANG HaiXia WANG QingYun ZHENG YanHong 
supported by the National Natural Science Foundation of China(Grant Nos.11002073;11172017;11102041)
This paper is concerned with bifurcations and chaos control of the Hindmarsh-Rose(HR)neuronal model with the time-delayed feedback control.By stability and bifurcation analysis,we find that the excitable neuron can em...
关键词：hopf bifurcation time-delayed feedback control chaos control neuronal model 
Hopf bifurcation and chaos in an inertial neuron system with coupled delay被引量：5
《Science China(Technological Sciences)》2013年第9期2299-2309,共11页GE JuHong XU Jian 
supported by the National Natural Science Foundation of China (Grant Nos. 11202068 and 11032009)
In this paper, inertia is added to a simplified neuron system with time delay. The stability of the trivial equilibrium of the net- work is analyzed and the condition for the existence of Hopf bifurcation is obtained ...
关键词：time delay INERTIA Hopf bifurcation chaos 
Oscillation control for n-dimensional congestion control model via time-varying delay被引量：4
《Science China(Technological Sciences)》2011年第8期2044-2053,共10页ZHANG Shu XU Jian 
supported by the State Key Program of National Natural Science Foundation of China (Grant No. 11032009);Shanghai Leading Academic Discipline Project (Grant No. B302)
Time delay or round trip time (RTT) is an important parameter in the model of Internet congestion control. On the one hand, the delay may induce oscillation via the Hopf bifurcation. In the present paper, a congestion...
关键词：internet congestion control high-dimensional system Hopf bifurcation time-varying delay method of multiple scales 
Fold-Hopf bifurcation in a simplified four-neuron BAM (bidirectional associative memory) neural network with two delays被引量：3
《Science China(Technological Sciences)》2010年第3期633-644,共12页GE JuHong & XU Jian School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China 
supported by the National Natural Science Funds for Distinguished Young Scholar of China (Grant No. 10625211);Key Program of National Natural Science Foundation of China (Grant No. 10532050);Program of Shanghai Subject Chief Scientist (Grant No. 08XD14044)
The bidirectional associative memory (BAM) neural network with four neurons and two delays is considered in the present paper.A linear stability analysis for the trivial equilibrium is firstly employed to provide a po...
关键词：codimension-two bifurcation time delay solution classification UNFOLDING centre manifold 
Delayed Hopf bifurcation in time-delayed slow-fast systems被引量：9
《Science China(Technological Sciences)》2010年第3期656-663,共8页ZHENG YuanGuang1 & WANG ZaiHua1,2 1 Institute of Vibration Engineering Research,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China 2 Institute of Science,PLA University of Science and Technology,Nanjing 211101,China 
supported by the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No.200430);in part by the National Natural Science Foundation of China (Grant Nos.10825207,10532050)
This paper presents an investigation on the phenomenon of delayed bifurcation in time-delayed slow-fast differential systems.Here the two delayed's have different meanings.The delayed bifurcation means that the bifurc...
关键词：time delay DELAYED BIFURCATION HOPF BIFURCATION slow-fast systems exit-point ENTRY-EXIT function 
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