Archivio Istituzionale della RicercaI will shortly discuss an approach to bifurcation theory based on elliptic topology. The main goal is a construction of an index of bifurcation points for $C^1$-families of Fredholm maps derived from the index bundle of the family of linearizations along the trivial branch. As illustration, I will present an application to bifurcation of homoclinic solutions of non-autonomous differential equations from a branch of stationary solutions.
Topological invariants of bifurcation / Pejsachowicz, Jacobo. - STAMPA. - 2:(2008), pp. 239-250. (Intervento presentato al convegno C*-algebras and elliptic theory II tenutosi a Bedlewo -Poland nel january 2006).
Topological invariants of bifurcation
PEJSACHOWICZ, JACOBO
2008
Abstract
I will shortly discuss an approach to bifurcation theory based on elliptic topology. The main goal is a construction of an index of bifurcation points for $C^1$-families of Fredholm maps derived from the index bundle of the family of linearizations along the trivial branch. As illustration, I will present an application to bifurcation of homoclinic solutions of non-autonomous differential equations from a branch of stationary solutions.
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https://hdl.handle.net/11583/2496020
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