安徽大学学报（自然科学版）2026，Vol.50Issue(1)：1-9,9.DOI:10.3969/j.issn.1000-2162.2026.01.001
模糊差分方程Xn+1=δn+Xn/Xn-1的动力学性质
Dynamical behaviors of fuzzy difference equation Xn+1=δn+Xn/Xn-1
摘要
Abstract
As an important branch of dynamical systems,difference equations always attracted widespread attention in the academic community.In recent years,the study of fuzzy difference equations attracted the attention of many scholars in this field,due to changes in methods caused by fluctuations and variations in parameters when applying difference equations to practical problems.In this study,dynamical properties of a fuzzy difference equation Xn+1=δn+Xn/Xn-1,n=0,1,2,…were investigated,where initial values X-1,X0 were positive fuzzy numbers,and parameter δn was a 2-period positive fuzzy number sequence.The research conclusion indicates that there existed a unique positive solution Xn to the fuzzy difference equation.Moreover,each positive solution converged to a unique 2-periodic solution.关键词
模糊差分方程/存在性/唯一性/2周期解/全局渐近稳定性Key words
fuzzy difference equation/existence/uniqueness/2-periodic solution/global asymptotic stability分类
数理科学引用本文复制引用
张更容,袁美兰..模糊差分方程Xn+1=δn+Xn/Xn-1的动力学性质[J].安徽大学学报（自然科学版）,2026,50(1):1-9,9.基金项目
国家自然科学基金资助项目(11771149) （11771149）
广西自然科学基金资助项目(2018GXNSFFA281008) （2018GXNSFFA281008）
