Attractor as a convex combination of a set of attractors

被引：2
|
作者：
Danca, Marius-F. [1 ]
Feckan, Michal [2 ,3 ]
Kuznetsov, Nikolay [4 ,5 ]
Chen, Guanrong [6 ]
机构：
[1] Romanian Inst Sci & Technol, Cluj Napoca, Romania
[2] Comenius Univ, Dept Math Anal & Numer Math, Fac Math Phys & Informat, Bratislava, Slovakia
[3] Slovak Acad Sci, Math Inst, Bratislava, Slovakia
[4] St Petersburg State Univ, Dept Appl Cybernet, St Petersburg, Russia
[5] Univ Jyvaskyla, Dept Math Informat Technol, Jyvaskyla, Finland
[6] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2021年 / 96卷
基金：
俄罗斯科学基金会;
关键词：
Parameter switching; Continuous-time system; Numerical attractor; SYSTEM;
D O I：
10.1016/j.cnsns.2021.105721
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents an effective approach to constructing numerical attractors of a general class of continuous homogenous dynamical systems: decomposing an attractor as a convex combination of a set of other existing attractors. For this purpose, the convergent Parameter Switching (PS) numerical method is used to integrate the underlying dynamical system. The method is built on a convergent fixed step-size numerical method for ODEs. The paper shows that the PS algorithm, incorporating two binary operations, can be used to approximate any numerical attractor via a convex combination of some existing attractors. Several examples are presented to show the effectiveness of the proposed method. (c) 2021 Elsevier B.V. All rights reserved.
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页数：11
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