Search results for: INDEKS CONLEYA

• Local fixed point indices of iterations of planar maps

  Publication

  • G. Graff
  • P. Nowak-Przygodzki
  • F. Ruiz Del Portal

  - Journal of Dynamics and Differential Equations - Year 2011

  W artykule podana zostaje postać indeksów iteracji dla pewnej klasy odwzorowań planarnych. Podstawowymi narzędziami stosowanym w pracy są liczba Nielsena i indeks Conleya.

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• Morse inequalities via Conley index theory

  Publication

  • M. Izydorek
  • M. Styborski

  - Year 2011

  The relation known as the Morse inequalities can be extended to a more general setting of flows on a locally compact metric spaces (Conley index) as well as dynamical systems on Hilbert spaces (LS-index). This paper is a discourse around this extension. Except the part concerning the LS-index the material is self-contained and has a character of a survey.

• Equivariant Morse equation

  Publication

  • M. Styborski

  - Central European Journal of Mathematics - Year 2012

  The paper is concerned with the Morse equation for flows in a representation of a compact Lie group. As a consequence of this equation we give a relationship between the equivariant Conley index of an isolated invariant set of the flow given by x˙ = − ∇f(x) and the gradient equivariant degree of ∇f. Some multiplicity results are also presented.

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• Conley index in Hilbert spaces and the Leray-Schauder degree

  Publication

  • M. Styborski

  - Topological Methods in Nonlinear Analysis - Year 2009

  Zdefiniowane są liczby Bettiego i charakterystyka Eulera LS-indeksu dla potoków generowanych przez pole zwarte w przestrzeni Hilberta. Główna teza pracy to wzór typu Poincare-Hopfa łączący wspomnianą chatrakterystykę Eulera ze stopniem Leray-Schaudera.

• Marcin Styborski dr inż.

  People

  Instytut Matematyki Stosowanej