Description

• Title:
  Periodic solutions of a forced relativistic pendulum via twist dynamics
• Creator:
  Marò, Stefano
• Description:
  We prove the existence of at least two geometrically different periodic solutions with winding number $N$ for the forced relativistic pendulum. The instability of a solution is also proved. The proof is topological and based on the version of the Poincaré-Birkhoff theorem by Franks. Moreover, with some restriction on the parameters, we prove the existence of twist dynamics.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2013.04.22
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 42, No 1 (September 2013); 51 - 75;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2013.024/8328
• Subject:
  Poincaré-Birkhoff fixed point theorem;
  relative pendulum;
  34C25;
  37C25;
  70H14
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2013.024
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other