Description

• Title:
  Poincaré recurrence theorem in impulsive systems
• Creator:
  Ding, Boyang;
  Ding, Changming
• Description:
  In this article, we generalize the Poincaré recurrence theorem to impulsive dynamical systems in $\mathbb R^n$. For a measure preserving system, we present some sufficient conditions to establish an impulsive system that is also measure preserving. Then, two recurrence theorems are proved. Finally, we use two examples to illustrate our results.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Topological Methods in Nonlinear Analysis
• Date:
  2017.01.11
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 49, No 2 (June 2017); 577 - 585;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.091/10762 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.091/10763
• Subject:
  37B20;
  37C10;
  Impulsive system;
  measure preserving;
  recurrence
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.091
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other