模糊差分方程Xn+1=δn+Xn/Xn-1的动力学性质OA

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.