title: Discontinuous differential equations: comparison of solution definitions and localization of hidden Chua attractors
metadata.name: dc.contributor.author
metadata.value: Leonov, G.A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kiseleva, M.A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kuznetsov, N.V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kuznetsova, O.A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-04-07T19:57:01Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-04-07T19:57:01Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2015-09-27
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/1954
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: 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.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Saint-Petersburg State University, Russian Science Foundation
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Discontinuous differential equations: comparison of solution definitions and localization of hidden Chua attractors
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 1-s2.0-S2405896315013014-main.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/1954/1/1-s2.0-S2405896315013014-main.pdf
resources.format: Adobe PDF
resources.description: MICNON article
resources.size: 245,51 kB