Effect of the Lower Boundary of Reinjection and Noise in Type­II intermittency

ELASKAR, S.; DEL RÍO, E. ; KRAUSE, G.; COSTA, A.

NONLINEAR DYNAMICS

SPRINGER

Lugar: Berlin; Año: 2014 vol. 78 p. 1065 - 1077

0924-090X

Abstract We implement a recent methodology to study type-II intermittency considering different values of the lower boundary of reinjection (LBR) and the noise in- tensity. With this approach, analytical expressions for the reinjection probability density (RPD) are accurately obtained. The proposed RPD has a piecewise definition addressing the different reinjection mechanisms appear- ing in the system depending on the LBR value and the noise intensity. Also, the new probability density of the laminar lengths is calculated. When LBR = 0, the noisy probability density of the laminar lengths presents a cut-off, which disappears for noise strength different to zero. The theoretical results are verified with numerical simulations.