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math.DS2017
Existence of Noise Induced Order, a Computer Aided Proof
Stefano Galatolo, Maurizio Monge, Isaia Nisoli
We prove the existence of Noise Induced Order in the Matsumoto-Tsuda model, where it was originally discovered in 1983 by numerical simulations. This is a model of the famous Belos…
math.DS2017★ 6 cited
Decay of correlations, quantitative recurrence and logarithm law for contracting Lorenz attractors
Stefano Galatolo, Isaia Nisoli, Maria José Pacifico
In this paper we prove that a class of skew products maps with non uniformly hyperbolic base has exponential decay of correlations. We apply this to obtain a logarithm law for the…