Standard

Discontinuous differential equations : comparison of solution definitions and localization of hidden Chua attractors. / Leonov, G. A.; Kiseleva, M. A.; Kuznetsov, N. V.; Kuznetsova, O. A.

в: IFAC-PapersOnLine, Том 48, № 11, 01.01.2015, стр. 408-413.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Leonov, GA, Kiseleva, MA, Kuznetsov, NV & Kuznetsova, OA 2015, 'Discontinuous differential equations: comparison of solution definitions and localization of hidden Chua attractors', IFAC-PapersOnLine, Том. 48, № 11, стр. 408-413. https://doi.org/10.1016/j.ifacol.2015.09.220

APA

Leonov, G. A., Kiseleva, M. A., Kuznetsov, N. V., & Kuznetsova, O. A. (2015). Discontinuous differential equations: comparison of solution definitions and localization of hidden Chua attractors. IFAC-PapersOnLine, 48(11), 408-413. https://doi.org/10.1016/j.ifacol.2015.09.220

Vancouver

Leonov GA, Kiseleva MA, Kuznetsov NV, Kuznetsova OA. Discontinuous differential equations: comparison of solution definitions and localization of hidden Chua attractors. IFAC-PapersOnLine. 2015 Янв. 1;48(11):408-413. https://doi.org/10.1016/j.ifacol.2015.09.220

Author

Leonov, G. A. ; Kiseleva, M. A. ; Kuznetsov, N. V. ; Kuznetsova, O. A. / Discontinuous differential equations : comparison of solution definitions and localization of hidden Chua attractors. в: IFAC-PapersOnLine. 2015 ; Том 48, № 11. стр. 408-413.

BibTeX

@article{018717cba42746adb7481d82c3f884bb,
title = "Discontinuous differential equations: comparison of solution definitions and localization of hidden Chua attractors",
abstract = "This paper studies a class of systems with discontinuous right-hand side, which is commonly used in various applications. The notion of discontinuous system is closely linked to the notion of differential inclusion, which was first considered by Marchaud and Zaremba. In this paper three different notions of solutions of differential equations will be considered: Filippov, Aizerman-Pyatnitskiy and Gelig-Leonov-Yakubovich solutions. For the class of systems considered in the paper it is discussed when these definitions coincide and when they differ. The application of definitions is also demonstrated by numerical modelling of hidden attractor in Chua's circuit.",
keywords = "Aizerman-Pyatnitskiy definition, Chua's circuit, definition of solution, differential inclusion, discontinuous system, Filippov definition, Gelig-Leonov-Yakubovich definition, hidden attractor, self-excited attractor",
author = "Leonov, {G. A.} and Kiseleva, {M. A.} and Kuznetsov, {N. V.} and Kuznetsova, {O. A.}",
year = "2015",
month = jan,
day = "1",
doi = "10.1016/j.ifacol.2015.09.220",
language = "English",
volume = "48",
pages = "408--413",
journal = "IFAC-PapersOnLine",
issn = "2405-8971",
publisher = "Elsevier",
number = "11",

}

RIS

TY - JOUR

T1 - Discontinuous differential equations

T2 - comparison of solution definitions and localization of hidden Chua attractors

AU - Leonov, G. A.

AU - Kiseleva, M. A.

AU - Kuznetsov, N. V.

AU - Kuznetsova, O. A.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - This paper studies a class of systems with discontinuous right-hand side, which is commonly used in various applications. The notion of discontinuous system is closely linked to the notion of differential inclusion, which was first considered by Marchaud and Zaremba. In this paper three different notions of solutions of differential equations will be considered: Filippov, Aizerman-Pyatnitskiy and Gelig-Leonov-Yakubovich solutions. For the class of systems considered in the paper it is discussed when these definitions coincide and when they differ. The application of definitions is also demonstrated by numerical modelling of hidden attractor in Chua's circuit.

AB - This paper studies a class of systems with discontinuous right-hand side, which is commonly used in various applications. The notion of discontinuous system is closely linked to the notion of differential inclusion, which was first considered by Marchaud and Zaremba. In this paper three different notions of solutions of differential equations will be considered: Filippov, Aizerman-Pyatnitskiy and Gelig-Leonov-Yakubovich solutions. For the class of systems considered in the paper it is discussed when these definitions coincide and when they differ. The application of definitions is also demonstrated by numerical modelling of hidden attractor in Chua's circuit.

KW - Aizerman-Pyatnitskiy definition

KW - Chua's circuit

KW - definition of solution

KW - differential inclusion

KW - discontinuous system

KW - Filippov definition

KW - Gelig-Leonov-Yakubovich definition

KW - hidden attractor

KW - self-excited attractor

UR - http://www.scopus.com/inward/record.url?scp=84992504050&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2015.09.220

DO - 10.1016/j.ifacol.2015.09.220

M3 - Article

AN - SCOPUS:84992504050

VL - 48

SP - 408

EP - 413

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8971

IS - 11

ER -

ID: 61327059