title: Two-dimensional homogeneous cubic systems: classification and normal forms — II
metadata.name: dc.contributor.author
metadata.value: Basov, Vladimir V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-09-28T15:28:57Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-09-28T15:28:57Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Basov V.V. Two-dimensional homogeneous cubic systems: classification and normal forms — II. Vestnik of Saint Petersburg University. Series 1. Mathematics. Mechanics. Astronomy, 2016, vol. 3 (61), issue 3, pp. 355–371.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2016.302
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/3904
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In the first part of the paper properly designed structural principles are given to introduce a total order on
  the set of structural forms — vector polynomials with a fixed number of zero coefficients which represent
  right-hand parts of two-dimensional homogeneous cubic systems of ODE. Among them normalized based
  on the principles of normalization structural forms and linear non-equivalent to each other, the simplest
  in their class canonical forms (CF) are sequentially distinguished.
  In the second part of the paper for the mentioned systems the right-hand part components of which
  are proportional all CF are distinguished with their canonical sets of permissible values. For each CF
  are given: a) the conditions on the coefficients of the original system, b) linear substitutions that reduce
  the right-hand part of the system under these conditions to the chosen CF, c) obtained values of CF’s
  coefficients.
  This paper is a direct continuation of [1], so it retains all previously introduced notations. Refs 1.
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. Series 1. Mathematics. Mechanics. Astronomy;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 — II
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: Basov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/3904/1/Basov.pdf
resources.format: Adobe PDF
resources.size: 320,93 kB