title: Two-dimensional homogeneous cubic systems: classification and normal forms — IV
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: 2017-09-20T13:29:24Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-09-20T13:29:24Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Basov V.V., Chermnykh A. S. Two-dimensional homogeneous cubic systems: classification and normal forms IV. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 3, pp. 370–386.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.302
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/7142
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: This article is the fourth in a series of works devoted to two-dimensional cubic homogeneous systems. It
  considers the case where homogeneous polynomial vector on the right-hand part of the system has a square
  common factor with complex 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 and is 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 relates CF to the selected class of equivalence. In addition, for
  each CF, (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, and (c) obtained
  values of CF’s non-normalized elements are given. Refs 9.
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 3
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 — IV
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 02-Basov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/7142/1/02-Basov.pdf
resources.format: Adobe PDF
resources.size: 393,64 kB