Opis

• Title:
  On detecting of chaotic dynamics via isolating chains
• Creator:
  Pieniążek, Leszek
• Description:
  We show in the paper the method of isolating chains in proof of chaotic dynamics. It is based on the earlier notion of an isolating segment but gives more powerful tool for exploring dynamics of periodic ODE's. As an application we show that the processes generated by the equations in the complex plane $ \dot{z} = {\overline z}^k + e^{i\phi t} {\overline z}$, where $k\geq 3$ is an odd number and $\phi$ is close to $0$, has chaotic behaviour.
• Object availability:
  Dostęp otwarty
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2003.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  angielski
• Source:
  Topological Methods in Nonlinear Analysis; Vol 22, No 1 (September 2003); 115 - 138;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2003.031/9593
• Subject:
  Periodic solutions;
  chaotic dynamics;
  fixed point index;
  isolating segment;
  isolating chain;
  Primary;
  34C25;
  Secondary;
  55M20;
  58F22
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2003.031
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  poproś o pozwolenie
• Type:
  pozostałe