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SUMMARY:Michele Gianfelice (Università della Calabria (Italy))
DTSTART:20210128T150000Z
DTEND:20210128T160000Z
DTSTAMP:20260423T023012Z
UID:DinAmicI/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DinAmicI/15/
 ">Stochastic stability of classical Lorenz flow under impulsive type forci
 ng</a>\nby Michele Gianfelice (Università della Calabria (Italy)) as part
  of DinAmicI: Another Internet Seminar\n\n\nAbstract\nInspired by the prob
 lem of modeling the so called anthropogenic forcing in climatology\, e.g. 
 the effects of the emissions of greenhouse gases in the atmosphere\, we in
 troduce a novel type of random perturbation for the classical Lorenz flow 
 and prove its stochastic stability. The perturbation acts on the system in
  an impulsive way\, hence is not of diffusive type. Namely\, given a cross
 -section M for the unperturbed flow\, each time the trajectory of the syst
 em crosses M the phase velocity field is changed with a new one sampled at
  random from a suitable neighborhood of the unperturbed one. The resulting
  random evolution is therefore described by a piecewise deterministic Mark
 ov process. The proof of the stochastic stability for the unperturbed flow
  is then carried on working either in the framework of the Random Dynamica
 l Systems or in that of semi-Markov processes. Joint work with Sandro Vaie
 nti.\n
LOCATION:https://researchseminars.org/talk/DinAmicI/15/
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