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Jordi-Lluís Figueras (UB): Breakdown mechanisms of Fiberwise Hyperbolic Invariant Tori in skew product systems (joint work with Àlex Haro)

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02/03/2011 de 16:00 a 16:00 (Europe/Madrid / UTC100)

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Aula T2 (2n pis), Facultat de Matemàtiques, UB.

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In this talk we will expose several mechanisms of breakdown of
Fiberwise Hyperbolic Invariant Tori (FHIT) in volume preserving skew
product systems.

First we will revise the concepf of FHIT, its associated cocycle and its
associated transfer operator.

Second we will expose 4 mechanisms in volume preserving skew product
systems:

1.- The bifurcation Hyperbolic to Elliptic.

2.- The Non-smooth breakdown.

3.- The Folding breakdown.

4.- The fractalization route