云南高校图书馆联盟文献共享服务平台- PERIODIC

PERIODIC_SOLUTIONS: 作品数：336被引量：324H指数：7; 导出分析报告; 相关作者：张书年李林唐风军徐琛梅赵怀忠更多>>; 相关机构：东南大学上海交通大学北京石油化工学院复旦大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金安徽省自然科学基金国家重点基础研究发展计划国家教育部博士点基金更多>>

PSEUDO S-ASYMPTOTICALLY PERIODIC SOLUTIONS OF PARTIAL NEUTRAL DIFFERENTIAL EQUATIONS: 《数学杂志》2025年第2期140-150,共11页LIU Jing-huai ZHANG Li-tao; Supported by the National Natural Science Foundation of China(11226337);the Science and Technology Research Projects of Henan Education Committee(22B110017).; In this paper,we study the existence of pseudo S-asymptotically ω-periodic mild solutions of abstract partial neutral differential equations in Banach spaces.By using the principle of Banach contractive mapping,the e...; 关键词：pseudo S-asymptotically!-periodic function mild solution partial neutral differential equations

Periodic solutions,breather,lump and interaction solutions of a generalized(2+1)-dimensional Hirota bilinear equation via the bilinear neural network method: 《Communications in Theoretical Physics》2025年第3期1-11,共11页Zhao Zhao Bo Ren; supported by the National Natural Science Foundation of China under Grant No.12375006;the Weimu Technology Company Limited of Hangzhou of China under Grant No.KYY-HX-20240495。; The main focus of this paper is to address a generalized(2+1)-dimensional Hirota bilinear equation utilizing the bilinear neural network method.The paper presents the periodic solutions through a single-layer model of...; 关键词：bilinear transformation BNNM double-layer model exact analytical solution

Periodic solution of parabolic equations and stochastic process: 《Applied Mathematics(A Journal of Chinese Universities)》2025年第1期78-84,共7页WANG Xiao-huan; Supported by the National Natural Science Foundation of China(12171247)。; In this short paper, we first establish the existence of periodic solutions to parabolic equation in the whole space by using the probability method. Then, the periodicity of some function of stochastic process is als...; 关键词：periodic solutions It^o's formula stochastic process

Existence of multi-hump generalized homoclinic solutions for a class of reversible systems: 《Science China Mathematics》2025年第2期299-338,共40页Shengfu Deng Yan Zhou Jinsen Zhuang; supported by National Natural Science Foundation of China(Grant No.12171171);Natural Science Foundation of Fujian Province of China(Grant Nos.2022J01303 and 2023J01121);the Scientific Research Funds of Huaqiao University。; In this paper,we investigate a class of reversible dynamical systems in four dimensions.The spectrums of their linear operators at the equilibria are assumed to have a pair of positive and negative real eigenvalues an...; 关键词：homoclinic solutions multi-hump periodic solutions REVERSIBILITY

A GENERAL AVERAGING METHOD FOR AFFINE PERIODIC SOLUTIONS: 《Acta Mathematica Scientia》2024年第6期2207-2224,共18页Xue YANG Jiamin XING Yong LI; supported by the National Natural Science Foundation of China(12371191;12071175);supported by the NSFC(12071175;11901080);supported by the NSFC(12071175);the Fundamental Research Funds For the Central Universities(2412023YQ003);the Natural Science Foundation of Jilin Province(20200201253JC)。; We consider the persistence of affine periodic solutions for perturbed affine periodic systems.Such(Q,T)-affine periodic solutions have the form x(t+T)=Qx(t)for all t∈R,where T>0 is fixed and Q is a nonsingular matri...; 关键词：affine-periodic solution perturbed system Brouwer degree averaging method

Hopf bifurcation in a delayed prey-predator model with prey refuge involving fear effect: 《International Journal of Biomathematics》2024年第5期1-32,共32页Ankit Parwaliya Anuraj Singh Ajay Kumar; supported by MATRICS,Science Engineering Research Board,Government of India(MTR/2020/000477).; This work investigates a prey-predator model featuring a Holling-type II functional response,in which the fear effect of predation on the prey species,as well as prey refuge,are considered.Specifically,the model assum...; 关键词：Hopf bifurcation fear effect prey refuge periodic solutions time delay branch off

ON THE STABILITY OF PERIODIC SOLUTIONS OF PIECEWISE SMOOTH PERIODIC DIFFERENTIAL EQUATIONS: 《Acta Mathematica Scientia》2024年第4期1524-1535,共12页Maoan HAN Yan YE; supported by the NSFC(11931016)。; In this paper,we address the stability of periodic solutions of piecewise smooth periodic differential equations.By studying the Poincarémap,we give a sufficient condition to judge the stability of a periodic solutio...; 关键词：periodic solution Poincarémap periodic equation stability

Cross-diffusion induced Turing instability of Hopf bifurcating periodic solutions in the reaction-diffusion enzyme reaction model: 《International Journal of Biomathematics》2024年第4期133-150,共18页Haicheng Liu Wenshuo Yuan Bin Ge Jihong Shen; supported by Scientific Research and Innovation Fund for PhD Student:Research on the bifurcation problems of diffusive oncolytic virotherapy system(No.3072022CFJ2401).; Aiming at the spatial pattern phenomenon in biochemical reactions,an enzyme-reaction Sporns-Seelig model with cross-diffusion is chosen as study object.Applying the central manifold theory,normal form method,local Hop...; 关键词：Sporns-Seelig model diffusion Hopf bifurcation periodic solutions Turing instability

On the interaction phenomena to the nonlinear generalized Hietarinta-type equation: 《Journal of Ocean Engineering and Science》2024年第1期89-97,共9页Usman Younas T.A.Sulaiman Jingli Ren A.Yusuf; support provided for this research via Open Fund of State Key Laboratory of Power Grid Environmental Protection (No.GYW51202101374).; In this paper,we describe the nonlinear behavior of a generalized fourth-order Hietarinta-type equa-tion for dispersive waves in(2+1)dimension.The various wave formations are retrieved by using Hirota’s bilinear meth...; 关键词：Hirota’s bilinear method Lump-periodic solutions Breather waves Rouge waves Multi-waves

Analytical three-periodic solutions of Korteweg-de Vries-type equations: 《Chinese Physics B》2023年第9期229-236,共8页陈觅王振; the National National Science Foundation of China(Grant Nos.52171251,U2106225,and 52231011);the Science and Technology Innovation Fund of Dalian City(Grant No.2022JJ12GX036)。; Based on the direct method of calculating the periodic wave solution proposed by Nakamura,we give an approximate analytical three-periodic solutions of Korteweg-de Vries(KdV)-type equations by perturbation method for ...; 关键词：Hirota bilinear method Riemann theta function three-periodic solution

PERIODIC_SOLUTIONS