A1 Journal article (refereed)
Attractor as a convex combination of a set of attractors (2021)

Danca, M.-F., Fĕckan, M., Kuznetsov, N., & Chen, G. (2021). Attractor as a convex combination of a set of attractors. Communications in Nonlinear Science and Numerical Simulation, 96, Article 105721. https://doi.org/10.1016/j.cnsns.2021.105721

JYU authors or editors

Publication details

All authors or editors: Danca, Marius-F.; Fĕckan, Michal; Kuznetsov, Nikolay; Chen, Guanrong

Journal or series: Communications in Nonlinear Science and Numerical Simulation

ISSN: 1007-5704

eISSN: 1878-7274

Publication year: 2021

Volume: 96

Article number: 105721

Publisher: Elsevier

Publication country: Netherlands

Publication language: English

DOI: https://doi.org/10.1016/j.cnsns.2021.105721

Publication open access: Not open

Publication channel open access:

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/73843


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.

Keywords: dynamical systems; attractors; numerical methods; approximation

Free keywords: parameter switching; continuous-time system; numerical attractor

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2021

Preliminary JUFO rating: 1

Last updated on 2021-09-08 at 08:47