05-96 Alex Haro, Rafael de la Llave

Manifolds at the verge of a hyperbolicity breakdown (7393K, pdf ) Mar 8, 05

Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

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.

Files: 05-96.src( 05-96.keywords , verge.pdf.mm )