Global stability for nonlinear dynamic equations with variable coefficients

Anderson, Douglas R.

doi:10.1016/j.jmaa.2008.05.001

Cited by 8 publications

(1 citation statement)

References 11 publications

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“…Because difference equations are dynamic systems with discrete variables, they are easier to calculate and simulate with computers than differential equations are. Moreover, for some differential equations, the continuous variables are sometimes discretized and transformed into the corresponding difference equations, which can be used for numerical calculation and simulation on computers (see, e.g., [22][23][24][25][26][27][28][29][30][31][32][33] and the references therein). This has stimulated scholars' enthusiasm for the study of difference equations and promoted the development of difference equations.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Behavior of a Fractional-Type Fuzzy Difference System

et al. 2022

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In this paper, our aim is to study the following fuzzy system: xn+1=Axn−1xn−2+Bxn−3D+Cxn−4, n=0,1,2,⋯, where {xn} is a sequence of positive fuzzy numbers and the initial conditions x−4,x−3,x−2,x−1,x0 and the parameters A,B,C,D are positive fuzzy numbers. Firstly, the existence and uniqueness of positive fuzzy solutions of the fuzzy system are proved. Secondly, the dynamic behavior of the equilibrium points for the fuzzy system are studied by means of the fuzzy sets theory, linearization method and mathematical induction. Finally, the results obtained in this paper are simulated by using the software package MATLAB 2016, and the numerical results not only show the dynamic behavior of the solutions for the fuzzy system, but also verify the effectiveness of the proposed results.

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