I consider a one parameter family of area preserving smooth maps that cross a non-uniformly hyperbolic situation into an elliptic one. I prove that exponentially close to such a family there are maps with positive metric entropy.
Liverani, C. (2004). Birth of an elliptic island in a chaotic sea. MPEJ, 10.
Birth of an elliptic island in a chaotic sea
LIVERANI, CARLANGELO
2004-01-01
Abstract
I consider a one parameter family of area preserving smooth maps that cross a non-uniformly hyperbolic situation into an elliptic one. I prove that exponentially close to such a family there are maps with positive metric entropy.File in questo prodotto:
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