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FIXED_POINTS: 作品数：117被引量：148H指数：5; 导出分析报告; 相关作者：曾六川翁伟明原遵东朱顺荣陈杰更多>>; 相关机构：上海师范大学中国计量科学研究院南京理工大学辽宁师范大学更多>>; 相关期刊：《Journal of Mathematical Research with Applications》《Science China Mathematics》《Computer Modeling in Engineering & Sciences》《Science Bulletin》更多>>; 相关基金：国家自然科学基金广东省自然科学基金山东省自然科学基金国家重点基础研究发展计划更多>>

An optimization-based equilibrium measure describing fixed points of non-equilibrium dynamics:application to the edge of chaos: 《Communications in Theoretical Physics》2025年第3期140-156,共17页Junbin Qiu Haiping Huang; supported by the National Natural Science Foundation of China under Grant No.12122515(HH);Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices(Grant No.2022B1212010008);Guangdong Basic and Applied Basic Research Foundation(Grant No.2023B1515040023)。; Understanding neural dynamics is a central topic in machine learning,non-linear physics,and neuroscience.However,the dynamics are non-linear,stochastic and particularly non-gradient,i.e.,the driving force cannot be wr...; 关键词：high-dimensional chaos phase transitions neural networks order parameters statistical physics

On Perron’s Formula and the Prime Numbers: 《Advances in Pure Mathematics》2024年第6期487-494,共8页Michael M. Anthony; The Riemann hypothesis is intimately connected to the counting functions for the primes. In particular, Perron’s explicit formula relates the prime counting function to fixed points of iterations of the explicit form...; 关键词：Perron Fixed Points ITERATIONS Number Theory Riemann Hypothesis ITERATIONS INVARIANCE PRIMES

Fixed points stability,bifurcation analysis,and chaos control of a Lotka-Volterra model with two predators and their prey: 《International Journal of Biomathematics》2024年第4期1-38,共38页Muhammad Aqib Abbasi; The study of the population dynamics of a three-species Lotka-Volterra model is crucial in gaining a deeper understanding of the delicate balance between prey and predator populations.This research takes a unique appr...; 关键词：Fixed points existence and uniqueness Hopf bifurcation

A Note on Knot Floer Homology and Fixed Points of Monodromy: 《Peking Mathematical Journal》2023年第2期635-643,共9页Yi Ni; The author was partially supported by NSF Grant Number DMS-1811900.; Using an argument of Baldwin-Hu-Sivek,we prove that if K is a hyperbolic fibered knot with fiber F in a closed,oriented 3-manifold Y,andHFK(Y,K,[F],g(F)−1)has rank 1,then the monodromy of K is freely isotopic to a pse...; 关键词：Knot Floer homology Fibered knot Fixed points L-space knot

Solving Fractional Differential Equations via Fixed Points of Chatterjea Maps: 《Computer Modeling in Engineering & Sciences》2023年第6期2617-2648,共32页Nawab Hussain Saud M.Alsulami Hind Alamri; In this paper,we present the existence and uniqueness of fixed points and common fixed points for Reich and Chatterjea pairs of self-maps in complete metric spaces.Furthermore,we study fixed point theorems for Reich a...; 关键词：Common fixed points Reich and Chatterjea mappings Krasnoselskii-Ishikawa iteration complete metric space Banach space integral equation nonlinear fractional differential equation

Existence and uniqueness of solutions for a hierarchical system of two age-structured populations: 《Frontiers of Mathematics in China》2023年第1期51-62,共12页Zerong HE Nan ZHOU Mengjie HAN; supported by the National Natural Science Foundation of China(Grant No.11871185);the Natural Science Foundation of Zhejiang Province(No.LY18A010010).; We propose a class of new hierarchical model for the evolution of two interacting age-structured populations,which is a system of integro-partial differential equations with global feedback boundary conditions and may...; 关键词：Hierarchy of ages population system integro-partial differential equations existence and uniqueness fixed points

A class of two-dimensional rational maps with self-excited and hidden attractors: 《Chinese Physics B》2022年第3期224-233,共10页Li-Ping Zhang Yang Liu Zhou-Chao Wei Hai-Bo Jiang Qin-Sheng Bi; Project supported by the National Natural Science Foundation of China (Grant Nos. 11672257, 11772306, 11972173, and 12172340);the 5th 333 High-level Personnel Training Project of Jiangsu Province of China (Grant No. BRA2018324)。; This paper studies a new class of two-dimensional rational maps exhibiting self-excited and hidden attractors. The mathematical model of these maps is firstly formulated by introducing a rational term. The analysis of...; 关键词：two-dimensional rational map hidden attractors multi-stability a line of fixed points chaotic attractor

A NEW ALGORITHM FOR MONOTONE INCLUSION PROBLEMS AND FIXED POINTS ON HADAMARD MANIFOLDS WITH APPLICATIONS: 《Acta Mathematica Scientia》2021年第4期1250-1262,共13页Shih-sen CHANG Jinfang TANG Chingfeng WEN; This study was supported by the Natural Science Foundation of China Medical University,Taiwan;This work was also supported by Scientific Research Fund of SiChuan Provincial Education Department(14ZA0272).; In this article,we propose a new algorithm and prove that the sequence generalized by the algorithm converges strongly to a common element of the set of fixed points for a quasi-pseudo-contractive mapping and a demi-c...; 关键词：Monotone inclusion problem quasi-pseudo-contractive mapping demi-contraction mapping maximal monotone vector field quasi-nonexpansive mappings Hadamard manifold

Fixed points of smoothing transformation in random environment: 《Frontiers of Mathematics in China》2021年第4期1191-1210,共20页Xiaoyue ZHANG Wenming HONG; the National Key Research and Development Program of China(No.2020YFA0712900);the National Natural Science Foundation of China(Grant No.11971062);the Scientific Research Foundation for Young Teachers in Capital University of Economics and Business(NO.XRZ2021035).; At each time n∈N,let Y^(n)(ξ)=(y^(n)_(1)(ξ),y^(n)_(2)(ξ),…)be a random sequence of non-negative numbers that are ultimately zero in a random environmentξ=(ξ_(n))n∈N.The existence and uniqueness of the non-nega...; 关键词：Smoothing transformation functional equation branching random walk random environment MARTINGALES

Leslie’s prey–predator model in discrete time被引量：1: 《International Journal of Biomathematics》2020年第6期231-255,共25页U.A.Rozikov S.K.Shoyimardonov; Shoyimardonov thanks the El-Yurt Umidi Foundation under the Cabinet of Ministers of the Republic of Uzbekistan for financial support during his visit to the University of Montpellier(France)and Prof.R.Varro for the invitation。; We consider the Leslie’s prey–predator model with discrete time.This model is given by a nonlinear evolution operator depending on five parameters.We show that this operator has two fixed points and define type of e...; 关键词：POPULATION Leslie model fixed points PREY-PREDATOR discrete time

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