Description

• Title:
  Gradient-like nonlinear semigroups with infinitely many equilibria and applications to cascade systems
• Creator:
  Aragão-Costa, Eder R.;
  Carvalho, Alexandre N.;
  Marín-Rubio, Pedro;
  Planas, Gabriela
• Description:
  We consider an autonomous dynamical system coming from a coupled system in cascade where the uncoupled part of the system satisfies that the solutions comes from $-\infty $ and goes to $\infty $ to equilibrium points, and where the coupled part generates asymptotically a gradient-like nonlinear semigroup. Then, the complete model is proved to be also gradient-like. The interest of this extension comes, for instance, in models where a continuum of equilibrium points holds, and for example a Łojasiewicz-Simon condition is satisfied. Indeed, we illustrate the usefulness of the theory with several examples.
• 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 2 (December 2013); 345 - 376;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2013.040/8342
• Subject:
  Dynamical system;
  nonlinear semigroup;
  attractor;
  gradient-like semigroup;
  Łojasiewicz-Simon inequality;
  47H20;
  47J35;
  37L15;
  37L30
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2013.040
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other