Observatorio de I+D+i UPM

Memorias de investigación
Book chapters:
Noise influence on the characteristic relations and reinjection probability densities of type-II and type-III intermittencies
Research Areas
  • Difference equations
This paper explores the effect of the noise in the reinjection probability densities (RPD) for type-II and type-III intermittencies by using the temporal series of iterative maps. The RPD are calculated by means of a new method proposed in Refs. [1] and [2] and the results are compared with both, numerical simulations and analytical calculations. In addition, we provide an explanation for the gap observed in early experiments around the unstable point in the Poincaré map. We show that and added white noise approaches the RPD to the case of uniform reinjection for small distances of iterations to the unstable point. For large distances the RPD should be incremented with respect to the noiseless case. These numerical results suggest the existence of a noise induced reinjection mechanism.
Book Edition
Book Publishing
Book title
Chaos Theory Modeling, Simulation and Applications
From page
To page
  • Autor: Ezequiel del Rio Fernandez (UPM)
  • Autor: Sergio Elaskar (Universidad Nacional de Córdoba (Argentina))
  • Autor: Jose Manuel Donoso Vargas (UPM)
  • Autor: Luis Conde Lopez (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Grupo de Investigación en Fusión Inercial y Física de Plasmas
  • Departamento: Física Aplicada a la Ingeniería Aeronáutica
S2i 2020 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
Cofinanciación del MINECO en el marco del Programa INNPACTO (IPT-020000-2010-22)