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arXiv · 0804.3617

Lorenz-like chaotic attractors revised

Vitor Araujo·Maria Jose Pacifico
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Abstract

We describe some recent results on the dynamics of singular-hyperbolic (or Lorenz-like) attractors: attractors in this class are expansive and so sensitive with respect to initial data; they admit a unique physical measure whose support is the whole attractor, which is hyperbolic and the equilibrium state with respect to the center-unstable Jacobian; the hitting time associated to a geometric Lorenz attractor satisfies a logarithm law; the rate of large deviations for the physical measure on the ergodic basin of a geometric Lorenz attractor is exponential.

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Vitor Araujo, Maria Jose Pacifico. 2009-01-26. Lorenz-like chaotic attractors revised. https://arxiv.org/abs/0804.3617

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