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Effects of viscoelasticity on the stability and bifurcations of nonlinear energy sinks被引量：2: 《Applied Mathematics and Mechanics(English Edition)》2023年第1期141-158,共18页A.MOSLEMI M.R.HOMAEINEZHAD; financial support from K.N.Toosi University of Technology,Tehran,Iran。; Due to the increasing use of passive absorbers to control unwanted vibrations,many studies have been done on energy absorbers ideally,but the lack of studies of real environmental conditions on these absorbers is felt...; 关键词：VISCOELASTICITY Burgers model nonlinear energy sink(NES) saddle-node bifurcation Hopf bifurcation

Hopf bifurcation in general Brusselator system with diffusion: 《Applied Mathematics and Mechanics(English Edition)》2011年第9期1177-1186,共10页郭改慧吴建华任小红; supported by the National Natural Science Foundation of China (Nos. 10971124 and 11001160);the Natural Science Basic Research Plan in Shaanxi Province of China (Nos. 2011JQ1015 and 2009JQ100);the Doctor Start-up Research Fund of Shaanxi University of Science and Technology (No. BJ10-17); The general Brusselator system is considered under homogeneous Neumann boundary conditions.The existence results of the Hopf bifurcation to the ordinary differential equation （ODE） and partial differential equation ...; 关键词：general Brusselator system Hopf bifurcation DIFFUSION stability

Diffusion-driven instability and Hopf bifurcation in Brusselator system被引量：3: 《Applied Mathematics and Mechanics(English Edition)》2008年第6期825-832,共8页李波王明新; Project supported by the National Natural Science Foundation of China (No.10771032);the Natural Science Foundation of Jiangsu Province (BK2006088); The Hopfbifurcation for the Brusselator ordinary-differential-equation （ODE） model and the corresponding partial-differential-equation （PDE） model are investigated by using the Hopf bifurcation theorem. The stabil...; 关键词：Brusselator system Hopf bifurcation stability diffusion-driven Hopf bifurcation

Global stability analysis of a ratio-dependent predator-prey system: 《Applied Mathematics and Mechanics(English Edition)》2008年第4期495-500,共6页鲁铁军王美娟刘妍; A ratio dependent predator-prey system with Holling type Ⅲ functional response is considered. A sufficient condition of the global asymptotic stability for the positive equilibrium and existence of the limit cycle ar...; 关键词：RATIO-DEPENDENT global asymptotic stability functional response Hopf bifurcation

Supercritical as well as subcritical Hopf bifurcation in nonlinear flutter systems被引量：1: 《Applied Mathematics and Mechanics(English Edition)》2008年第2期199-206,共8页陈衍茂刘济科; Project supported by the National Natural Science Foundation of China (No.10772202);the Doctoral Foundation of Ministry of Education of China (No.20050558032);the Natural Science Foundation of Guangdong Province (Nos.07003680 and 05003295); The Hopf bifurcations of an airfoil flutter system with a cubic nonlinearity are investigated, with the flow speed as the bifurcation parameter. The center manifold theory and complex normal form method are Used to ob...; 关键词：nonlinear flutter Hopf bifurcation SUPERCRITICAL SUBCRITICAL limit cycle oscillation

BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS FOR A COUPLED NONLINEAR WAVE SYSTEM: 《Applied Mathematics and Mechanics(English Edition)》2005年第7期838-847,共10页张骥骧李继彬; By using the bifurcation theory of dynamical systems to the coupled nonlinear wave equations, the existence and stability of periodic wave solutions by Hopf bifurcations are obtained. Theory of travelling wave was app...; 关键词：travelling wave solution Hopf bifurcation nonlinear wave equation

STABILITY AND BIFURCATION BEHAVIORS ANALYSIS IN A NONLINEAR HARMFUL ALGAL DYNAMICAL MODEL被引量：1: 《Applied Mathematics and Mechanics(English Edition)》2005年第6期729-734,共6页王洪礼冯剑丰沈菲孙景; Project supported by the National Natural Science Foundation of China (No. 10472077)the Science and Technology Development Project of Tianjin of China (No. 023111811); A food chain made up of two typical algae and a zooplankton was considered. Based on ecological eutrophication, interaction of the algal and the prey of the zooplankton, a nutrient nonlinear dynamic system was constru...; 关键词：harmful algal bloom population dynamics Hopf bifurcation normal form stability CHAOS

BIFURCATION IN A TWO-DIMENSIONAL NEURAL NETWORK MODEL WITH DELAY: 《Applied Mathematics and Mechanics(English Edition)》2005年第2期210-217,共8页魏俊杰张春蕊李秀玲; theNationalNaturalScienceFoundationofChina ( 1 983 1 0 3 0 ); A kind of 2-dimensional neural network model with delay is considered. By analyzing the distribution of the roots of the characteristic equation associated with the model, a bifurcation diagram was drawn in an appropr...; 关键词：neural network centre manifold pitchfork bifurcation Hopf bifurcation

BIFURCATION OF A SHAFT WITH HYSTERETIC-TYPE INTERNAL FRICTION FORCE OF MATERIAL: 《Applied Mathematics and Mechanics(English Edition)》2003年第6期638-645,共8页丁千陈予恕; theNationalNaturalScienceFoundationofChina (1 9990 51 0 ;1 0 2 72 0 78) ;theNationalKeyBasicResearchSpacialFoundationofChina (1 9980 2 0 3 1 6); The bifurcation of a shaft with hysteretic internal friction of material was analysed. Firstly, the differential motion equation in complex form was deduced using Hamilton principle. Then averaged equations in primary...; 关键词：SHAFT hysteretic_type internal friction of material Hopf bifurcation non_synchronous whirl

TWO-MODE GALERKIN APPROACH IN DYNAMIC STABILITY ANALYSIS OF VISCOELASTIC PLATES被引量：1: 《Applied Mathematics and Mechanics(English Edition)》2003年第3期247-255,共9页张能辉程昌钧; theDevelopmentFoundationofShanghaiMunicipalCommissionofEducation( 99A0 1 ) ;thePostdoctoralScienceFoundationofShanghai( 1 999year); The dynamic stability of viscoelastic thin plates with large deflections was investigated by using the largest Liapunov exponent analysis and other numerical and analytical dynamic methods. The material behavior was d...; 关键词：viscoelastic plate dynamic stability von Krmn's hypothesis Galerkin method CHAOS Hopf bifurcation

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