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SUMMARY:Isaia Nisoli (Universidade Federal do Rio de Janeiro\, Brazil)
DTSTART:20200908T140000Z
DTEND:20200908T150000Z
DTSTAMP:20260423T024737Z
UID:CRM-CAMP/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CRM-CAMP/17/
 ">A proof of Noise Induced Order in the BZ map\, and some remarks on the p
 henomenon</a>\nby Isaia Nisoli (Universidade Federal do Rio de Janeiro\, B
 razil) as part of CRM CAMP (Computer-Assisted Mathematical Proofs) in Nonl
 inear Analysis\n\n\nAbstract\nIn this talk I will present a Computer Aided
  Proof of Noise Induced Order (NIO) in a model associated with the Belouso
 v-Zhabotinsky reaction: when studying the random dynamical system with add
 itive noise associated to the BZ map\, as the noise amplitude increases th
 e Lyapunov exponent of the model transitions from positive to negative. Th
 e proof is obtained through rigorous approximation of the stationary measu
 re using Ulam method.\nI will also show a sufficient condition for the exi
 stence of NIO in a wide family of one-dimensional examples.\n[1] S. Galato
 lo\, M. Monge\, I. Nisoli "Existence of Noise Induced Order: a computer ai
 ded proof"\, Nonlinearity 33(9)\n[2] I. Nisoli "Sufficient Conditions for 
 Noise Induced Order in 1-dimensional systems"\, arXiv:2003.08422\n
LOCATION:https://researchseminars.org/talk/CRM-CAMP/17/
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