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SUMMARY:Isaia Nisoli (Universidade Federal do Rio de Janeiro (Brazil))
DTSTART:20201116T130000Z
DTEND:20201116T140000Z
DTSTAMP:20260423T023017Z
UID:DinAmicI/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DinAmicI/11/
 ">A simple system presenting Noise Induced Order</a>\nby Isaia Nisoli (Uni
 versidade Federal do Rio de Janeiro (Brazil)) as part of DinAmicI: Another
  Internet Seminar\n\n\nAbstract\nIn this talk I will present a family of o
 ne dimensional systems with random additive noise such that\, as the noise
  size increases\, the Lyapunov exponent of the stationary measure transiti
 ons from positive to negative. This phenomena is known in literature as No
 ise Induced Order\, and was first observed in a model of the Belosouv-Zhab
 otinsky reaction and its existence was proven only recently by Galatolo-Mo
 nge-Nisoli. In the talk I will show how this phenomena is strictly connect
 ed with non-uniform hyperbolicity and the coexistence of regions of expans
 ion and contraction in phase space\; the result is attained through a resu
 lt on the continuity of the Lyapunov exponent of the stationary measure wi
 th respect to the size of the noise.\n
LOCATION:https://researchseminars.org/talk/DinAmicI/11/
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