RPD for type-III intermittency with noise and lower boundary of reinjection

ELASKAR, S.; DEL RÍO, E.; COSTA, A.

JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS

ASME-AMER SOC MECHANICAL ENG

Lugar: New York; Año: 2017

1555-1423

In this paper we extend a methodology developed recently to study type-III intermittency considering differentvalues of the noise intensity and the lower boundary of reinjection (LBR). We obtain accurate analytic expressionsfor the reinjection probability density (RPD). The proposed RPD has a piecewise definition depending on the non-linear behavior, the LBR value and the noise intensity. The new RPD is a sum of exponential functions with exponentα + 2, where α is the exponent of the noiseless RPD. The theoretical results are verified with numerical simulations.