title: Two-dimensional homogeneous cubic systems: classification and normal forms—V
metadata.name: dc.contributor.author
metadata.value: Basov, Vladimir V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Chermnykh, Aleksandr S.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-12-13T14:22:31Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-12-13T14:22:31Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Basov V.V., Chermnykh A. S. Two-dimensional homogeneous cubic systems: classification and normal forms — V. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2018, vol. 5 (63), issue 4, pp. 556–571.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2018.403
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15125
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: This article is the fifth in a series of works devoted to two-dimensional cubic homogeneous
  systems. It considers a case when a homogeneous polynomial vector in the right-hand part of
  the system has a linear common factor. A set of such systems is divided into classes of linear
  equivalence, wherein the simplest system being a third-order normal form is distinguished
  on the basis of properly introduced principles. Such a form is defined by the matrix of
  its right-hand part coefficients, which is called the canonical form (CF). Each CF has its
  own arrangement of non-zero elements, their specific normalization and canonical set of
  permissible values for the unnormalized elements, which relates CF to the selected class
  of equivalence. In addition to classification, each CF is provided with: (a) the conditions
  on the coefficients of the initial system, (b) non-singular linear substitutions that reduce
  the right-hand part of the system under these conditions to the selected CF, (c) obtained
  values of CF’s unnormalized elements.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 5 (63); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: homogeneous cubic system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: normal form
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: canonical form
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Two-dimensional homogeneous cubic systems: classification and normal forms—V
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 03-Basov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15125/1/03-Basov.pdf
resources.format: Adobe PDF
resources.size: 379,09 kB