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.

引用

页数：11

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