Spectral Flow and Bifurcation of Critical Points of Strongly Indefinite Functionals: Part II. Bifurcation of Periodic Orbits of Hamiltonian Systems

Spectral Flow and Bifurcation of Critica

Spectral Flow and Bifurcation of Critical Points of Strongly-Indefinite Functionals Part I. General Theory

✍ 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