Description

• Title:
  On orbital topological equivalence of cubic ODEs in two-dimensional algebras
• Creator:
  Balanov, Zolman;
  Krawcewicz, Wiesław;
  Zur, Shira
• Description:
  Cubic differential systems in real commutative two-dimensional algebras are classified up to orbital topological equivalence via the solubility of polynomial equations in algebras. As a by-product, existence of bounded solutions in such systems is studied via complex structures in the algebras. Application to the existence of periodic solutions to $n$-dimensional differential systems "cubic at infinity" is given.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2005.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 25, No 2 (June 2005); 205 - 234;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2005.011/9264
• Subject:
  Non-associative algebras;
  polynomial equations in algebra;
  complex structures;
  quadratic and cubic differential systems in algebras;
  bounded solutions;
  orbital topological equivalence of phase portraits.;
  Primary 37C15;
  37C25;
  34A34;
  34C14;
  34D20;
  Secondary 17A60
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2005.011
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other