Work

Estimations and Control of Julia Sets of the SIS Model Perturbed by Noise

Year: 2022

Type: article

Abstract: The estimations and control of Julia sets of the SIS model under noise perturbation are studied. At first, a discrete SIS model is introduced, and the effects of additive and multiplicative noises on the fractal characteristics of the SIS model are discussed. Then, estimating the Julia sets of the SIS model under additive and multiplicative noise perturbations are given, respectively. At last, the feedback control method is used to set appropriate controllers to realize control of the Julia set, and the influence of noise on the Julia set of the SIS model is reduced. The reason why this method is effective is also explained.

Source: Nonlinear Dynamics

DOI: 10.1007/s11071-022-08048-4

Authors: Liheng Xie, Yongping Zhang

Institution: Shandong University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Innovative Research Group Project of the National Natural Science Foundation of China, National Natural Science Foundation of China, Natural Science Foundation of Shandong Province, Fundamental Research Funds for the Central Universities