Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status

IF 1.7 4区数学 Q2 MATHEMATICS, APPLIED

SIAM Journal on Applied Dynamical Systems Pub Date : 2024-09-17 DOI:10.1137/24m1634941

Lihong Huang, Jiafu Wang

引用次数: 0

Abstract

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 3, Page 2533-2556, September 2024.
Abstract. This paper is concerned with global dynamics, especially periodicity, for a piecewise smooth system incorporating a new control strategy. The switches take place at discrete times and depend on the status. By employing the approach of Poincaré maps, the existence, exact number, and asymptotical stability of periodic solutions are investigated thoroughly in some parameter regions. The periodic solutions are induced by the control strategy. As applications, convergence and periodicity are studied both for a fishery model and for an SIS model with discrete time on-off control. Numerical simulations are performed to verify our results.

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开关取决于离散时间和状态的片断平滑系统的全局动力学

SIAM 应用动力系统期刊》，第 23 卷第 3 期，第 2533-2556 页，2024 年 9 月。摘要本文关注一个包含新控制策略的片断平稳系统的全局动力学，尤其是周期性。开关发生在离散时间，并取决于状态。通过使用 Poincaré 映射方法，深入研究了某些参数区域内周期解的存在性、精确数和渐近稳定性。周期解是由控制策略引起的。作为应用，研究了渔业模型和具有离散时间开关控制的 SIS 模型的收敛性和周期性。我们还进行了数值模拟来验证我们的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

SIAM Journal on Applied Dynamical Systems 物理-物理：数学物理

CiteScore

3.60

自引率

4.80%

发文量

审稿时长

6 months

期刊介绍： SIAM Journal on Applied Dynamical Systems (SIADS) publishes research articles on the mathematical analysis and modeling of dynamical systems and its application to the physical, engineering, life, and social sciences. SIADS is published in electronic format only.