INVESTIGADORES
ELASKAR Sergio Amado
congresos y reuniones científicas
Título:
New RPD function for type-I intermittency.
Autor/es:
ELASKAR, SERGIO; DEL RIO, EZEQUIEL; DONOSO, JOSÉ
Lugar:
Bahía Blanca
Reunión:
Congreso; 3er Congreso de Matemática Aplicada, Computacional e Industrial - MACI 2011; 2011
Institución organizadora:
Asociación Argentina de Matemática Aplicada, Computacional e Industrial
Resumen:
There are several topics in fluid mechanics where the
intermittency phenomenon appears, such as in Lorenz systems, Rayleigh-Bénard
convection, DNLS equation and turbulence. The correct evaluation of the
intermittency phenomenon contributes to a better prediction and a proper
description of these topics. We summarized here a new method we have recently
proposed to evaluate the reinjection probability function for type-II and
type-III intermittencies. The new reinjection probability density (RPD) has
been observed in the broad class of maps, as we have checked by both numerical
simulations and analytical studies. For type-II and type-III intermittencies,
we presented a new one-parameter family of functions describing the reinjection
probability, being the usual type-II uniform reinjection probability a
particular case of our RPD. For the type-III case, a new two-parameter family
of RPD has been found from which one can derive the lower bound of reinjection
(LBR). By extending the preceding analysis of type-II and type-III
intermittencies, we give here a new RPD for the type-I case, from which we also
derive the densities of the laminar phase lengths and the new characteristic
relations.