title: Two-dimensional homogeneous cubic systems: classification and normal forms — III
metadata.name: dc.contributor.author
metadata.value: Basov, Vladimir V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Chermnykh, Aleksander S.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-07-18T16:23:02Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-07-18T16:23:02Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Basov V.V., Chermnykh A. S. Two-dimensional homogeneous cubic systems: classification and normal forms — III. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 2, pp. 179–192.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.201
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/6940
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: This article is the third in a series of works devoted to the two-dimensional cubic homogeneous systems.
  It is considered a case when a homogeneous polynomial vector in the right-hand part of the system has a
  square common factor with real zeros. The set of such systems is divided into classes of linear equivalence,
  in each of them on the basis of properly introduced structural and normalization principles the simplest
  system is distinguished the normal form of the third order. In fact, the normal form is defined by the
  coefficient matrix of the right-hand part, which is called the canonical form (CF). Each CF has its own
  arrangement of nonzero elements, their specific normalization and canonical set of permissible values for
  the non-normalized elements, which guarantees CF’s belonging to the selected class of equivalence. In
  addition, for each CF are given: a) the conditions on the coefficients of the initial system, b) non-singular
  linear substitution reducing the right-hand part of the system under these conditions to the selected CF,
  c) obtained values of CF’s non-normalized elements. Refs 6.
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 4 (62); Issue 2
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 — III
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 01-Basov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/6940/1/01-Basov.pdf
resources.format: Adobe PDF
resources.size: 330,96 kB