The Conley index, cup-length and bifurcation

The Conley index, cup-length and bifurcation

A module structure of the cohomology Conley index is used to define a relative cup-length. This invariant is applied then to prove a multiplicity theorem for periodic solutions to Hamiltonian systems.

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Veröffentlicht in:Journal of fixed point theory and applications 2011-12, Vol.10 (2), p.233-252
Hauptverfasser: Dzedzej, Zdzisław, Gȩba, Kazimierz, Uss, Wojciech
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:A module structure of the cohomology Conley index is used to define a relative cup-length. This invariant is applied then to prove a multiplicity theorem for periodic solutions to Hamiltonian systems.
ISSN:1661-7738
1661-7746
DOI:10.1007/s11784-011-0065-9