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Global bifurcations of critical orbits of -invariant strongly indefinite functionals

✍ Scribed by Anna Gołȩbiewska; Sławomir Rybicki


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
292 KB
Volume
74
Category
Article
ISSN
0362-546X

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Spectral Flow and Bifurcation of Critica
✍ Patrick M Fitzpatrick; Jacobo Pejsachowicz; Lazaro Recht 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 274 KB

Spectral flow is a well-known homotopy invariant of paths of selfadjoint Fredholm operators. We describe here a new construction of this invariant and prove the following theorem: Let : I\_U Ä R be a C 2 function on the product of a real interval I=[a, b] with a neighborhood U of the origin of a rea