Description

• Title:
  Computer assisted method for proving existence of periodic orbits
• Creator:
  Pilarczyk, Paweł
• Description:
  We introduce a method based on the Conley index theory for proving the existence of a periodic trajectory in a smooth dynamical system in $\mathbb R^n$ where an attracting periodic orbit is numerically observed. We apply this method to prove the existence of a periodic orbit in the Rössler equations, as announced in [< i> Computer assisted proof of the existence of a periodic orbit in the Rössler equations< /i> ].
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  1999.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 13, No 2 (June 1999); 365 - 377;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.1999.019/10042
• Subject:
  Conley index;
  periodic orbit;
  Rössler equations;
  isolating neighbourhood;
  algorithm;
  34C35;
  54H20;
  65L99
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.1999.019
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other