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Centers and Limit Cycles for a Class of Three-dimensional Cubic Kukles Systems: 《数学理论与应用》2024年第4期31-44,共14页Liang Kunjian Huang Zhanghan Huang Wentao; supported by the National Natural Science Foundation of China(No.12061016);the Project for Enhancing Young and Middle-aged Teacher’s Research Basis Ability in Colleges of Guangxi(No.2024KY0814)。; In this paper the centers and limit cycles for a class of three-dimensional cubic Kukles systems are investigated.First,by calculating and analyzing the common zeros of the first ten singular point quantities,the nece...; 关键词：Three-dimensional Kukles system Singular point quantity Limit cycle Center Darboux integrating method

Tuberculosis transmission with multiple saturated exogenous reinfections: 《International Journal of Biomathematics》2024年第7期79-109,共31页Saduri Das Prashant K.Srivastava Pankaj Biswas; In this paper,a nonlinear mathematical model for tuberculosis transmission,which incorporates multiple saturated exogenous reinfections,is proposed and explored.The existence of disease-free and endemic steady states ...; 关键词：TUBERCULOSIS exogenous reinfection stability backward bifurcation HOPFBIFURCATION limit cycle stability switch

On Stability Discrimination of Limit Cycles for Piecewise Smooth Systems被引量：1: 《Acta Mathematica Sinica,English Series》2024年第7期1785-1803,共19页Mao An HAN Xia Yu ZHOU; supported by the National Natural Science Foundation of China(Grant No.11931016)。; This paper is concerned with the problem of stability discrimination of limit cycles for piecewise smooth systems.We first establish the Poincaré map near a periodic orbit,and deduce the first order derivative of the...; 关键词：Piecewise smooth system limit cycle STABILITY

THE LIMIT CYCLE BIFURCATIONS OF A WHIRLING PENDULUM WITH PIECEWISE SMOOTH PERTURBATIONS: 《Acta Mathematica Scientia》2024年第3期1115-1144,共30页杨纪华; supported by the Natural Science Foundation of Ningxia(2022AAC05044);the National Natural Science Foundation of China(12161069)。; This paper deals with the problem of limit cycles for the whirling pendulum equation x=y,y=sin x(cosx-r)under piecewise smooth perturbations of polynomials of cos x,sin x and y of degree n with the switching line x=0....; 关键词：whirling pendulum limit cycle Melnikov function Picard-Fuchs equation Chebyshev system

Some properties of Melnikov functions near a cuspidal loop: 《Science China Mathematics》2024年第4期767-786,共20页Junmin Yang Maoan Han; supported by National Natural Science Foundation of China(Grant No.11971145);supported by National Natural Science Foundation of China(Grant No.11931016);the National Key R&D Program of China(Grant No.2022YFA1005900)。; In this paper,we consider the first-order Melnikov functions and limit cycle bifurcations of a nearHamiltonian system near a cuspidal loop.By establishing relations between the coefficients in the expansions of the tw...; 关键词：Melnikov function nilpotent cusp limit cycle BIFURCATION

High Dynamic Bounding and Jumping Motion of Quadruped Robot Based on Stable Optimization Control被引量：1: 《Journal of Bionic Engineering》2024年第1期101-111,共11页Sai Gu Fei Meng Botao Liu Junyao Gao Qiang Huang; supported by the National Key Research Program of China 2018AAA0100103.; Aiming at the environment such as ravines and obstacles that may be encountered in the actual movement,this paper proposes a method for optimizing the bounding and jumping motion based on the ground touching force tra...; 关键词：Quadruped robot High dynamic motion control-Periodic limit cycle Trajectory optimization

Existence of Two Limit Cycles in Zeeman’s Class 30 for 3D Lotka-Volterra Competitive System: 《Communications on Applied Mathematics and Computation》2023年第4期1584-1590,共7页Yaoqi Li; the National Natural Science Foundation of China(NSFC)under Grant No.12171321.; Gyllenberg and Yan(Discrete Contin Dyn Syst Ser B 11(2):347–352,2009)presented a system in Zeeman’s class 30 of 3-dimensional Lotka-Volterra(3D LV)competitive systems to admit at least two limit cycles,one of which ...; 关键词：3-dimensional Lotka-Volterra(3D LV)competitive system Zeeman’s class 30 Fine focus Hopf bifurcation Poincaré-Bendixson theorem Limit cycle

Limit Cycle for the RC Circuit with Square-Wave-Type Voltage: 《Journal of Applied Mathematics and Physics》2023年第12期3854-3866,共13页Hugo Ramón Olmedo Mareco; The goal of this paper is to prove, by means of calculations the existence of the ω-limit cycle of a simple circuit where a resistor, a capacitor and a square-wave-type voltage source are in series.; 关键词：DC RC Circuit One-Sided Limits Geometric Series

The Relevance of Biological and Hydrodynamic Timescale in the Growth of Plankton: 《Open Journal of Modelling and Simulation》2023年第4期117-128,共12页Yaya Youssouf Yaya; The relationship between hydrodynamic mesoscale structures and plankton formation in the wake of an island, as well as its interaction with a coastal upwelling, is investigated. Our focus is on the process by which vo...; 关键词：PLANKTON UPWELLING VORTICES NUTRIENT Limit Cycle

Dynamical analysis in a piecewise smooth predator-prey model with predator harvesting: 《International Journal of Biomathematics》2023年第6期233-254,共22页Duo Hua Xingbo Liu; This work is supported by NNSFC(No.11871022);Shanghai Key Laboratory of PMMP.; The aim of this paper is to study the dynamical behaviors of a piecewise smooth predator-prey model with predator harvesting.We consider a harvesting strategy that allows constant catches if the population size is abo...; 关键词：Predator-prey model piecewise smooth system sliding limit cycle sliding homoclinic cycle

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