Description

• Title:
  Symmetric homoclinic solutions to the periodic orbits in the Michelson system
• Creator:
  Wilczak, Daniel
• Description:
  The Michelson system [D. Michelson, < i> Steady solutions of the Kuramoto–Sivashinsky equation< /i> , Physica D < b> 19< /b> (1986), 89–111] $x'''+x'+0.5x^2=c^2$ for the parameter value $c=1$ is investigated. It was proven in \cite{8} that the system possesses two odd periodic solutions. We shall show that there exist infinitely many homoclinic and heteroclinic connections between them. Moreover, we shall show that the family of homoclinic solutions contains a countable set of odd homoclinic solutions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2006.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 28, No 1 (September 2006); 155 - 170;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2006.025/8893
• Subject:
  Differential equations;
  symmetric homoclinic orbits;
  rigorous numerical analysis
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2006.025
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other