- 05-96 Alex Haro, Rafael de la Llave
- Manifolds at the verge of a hyperbolicity breakdown
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Mar 8, 05
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Abstract. We study numerically the disappearance of invariant objects
in quasi-periodic systems and
identify a scenario for breakdown. In this scenario,
the disappearance happens because
the stable directions of the normal dynamics
become close to the unstable directions.
We identify remarkable quantitative regularities, namely that
the distance between the stable and unstable directions
and the Lyapunov multipliers have power law dependence
with the parameters. The exponents of the power laws are universal.