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Attractor as a convex combination of a set of attractors. / Danca, Marius F.; Fĕckan, Michal; Kuznetsov, Nikolay; Chen, Guanrong.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 96, 105721, 01.05.2021.

Research output: Contribution to journal › Article › peer-review

Harvard

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

APA

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, [105721]. https://doi.org/10.1016/j.cnsns.2021.105721

Vancouver

Danca MF, Fĕckan M, Kuznetsov N, Chen G. Attractor as a convex combination of a set of attractors. Communications in Nonlinear Science and Numerical Simulation. 2021 May 1;96. 105721. https://doi.org/10.1016/j.cnsns.2021.105721

Author

Danca, Marius F. ; Fĕckan, Michal ; Kuznetsov, Nikolay ; Chen, Guanrong. / Attractor as a convex combination of a set of attractors. In: Communications in Nonlinear Science and Numerical Simulation. 2021 ; Vol. 96.

BibTeX

@article{e3dd6d94f2234837b3e4e598b5a4b6d3,
title = "Attractor as a convex combination of a set of attractors",
abstract = "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 = "Continuous-time system, Numerical attractor, Parameter switching",
author = "Danca, {Marius F.} and Michal Fĕckan and Nikolay Kuznetsov and Guanrong Chen",
note = "Funding Information: M. Fĕckan is partially supported by the Slovak Research and Development Agency under the Contract no. APVV-18-0308 , and the Slovak Grant Agency VEGA nos. 1/0358/20 and No. 2/0127/20, N. Kuznetsov, G. Chen and M.-F. Danca are supported by the Russian Science Foundation project 19-41-02002 (Sections 2 and 3) and St. Petersburg University. Publisher Copyright: {\textcopyright} 2021 Elsevier B.V. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = may,
day = "1",
doi = "10.1016/j.cnsns.2021.105721",
language = "English",
volume = "96",
journal = "Communications in Nonlinear Science and Numerical Simulation",
issn = "1007-5704",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Attractor as a convex combination of a set of attractors

AU - Danca, Marius F.

AU - Fĕckan, Michal

AU - Kuznetsov, Nikolay

AU - Chen, Guanrong

N1 - Funding Information: M. Fĕckan is partially supported by the Slovak Research and Development Agency under the Contract no. APVV-18-0308 , and the Slovak Grant Agency VEGA nos. 1/0358/20 and No. 2/0127/20, N. Kuznetsov, G. Chen and M.-F. Danca are supported by the Russian Science Foundation project 19-41-02002 (Sections 2 and 3) and St. Petersburg University. Publisher Copyright: © 2021 Elsevier B.V. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/5/1

Y1 - 2021/5/1

N2 - 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.

AB - 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.

KW - Continuous-time system

KW - Numerical attractor

KW - Parameter switching

UR - http://www.scopus.com/inward/record.url?scp=85099820644&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/4731ca9a-948d-379c-8ea1-cc29417ae311/

U2 - 10.1016/j.cnsns.2021.105721

DO - 10.1016/j.cnsns.2021.105721

M3 - Article

AN - SCOPUS:85099820644

VL - 96

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

SN - 1007-5704

M1 - 105721

ER -

ID: 74161754