INVESTIGADORES
KRAUSE Gustavo Javier
artículos
Título:
Type-I Intermittency with Discontinuous Reinjection Probability Density in a Truncation Model of the Derivative Nonlinear Schrödinger Equation
Autor/es:
KRAUSE, GUSTAVO JAVIER; ELASKAR, SERGIO AMADO; EZEQUIEL DEL RÍO
Revista:
NONLINEAR DYNAMICS
Editorial:
SPRINGER
Referencias:
Año: 2014 vol. 77 p. 455 - 466
ISSN:
0924-090X
Resumen:
In previous papers, the type-I intermittent phenomenon with continuous reinjection probability density (RPD) has been extensively studied. However, in this paper type-I intermittency considering discontinuous RPD function in one-dimensional maps is analyzed. To carry out the present study the analytic approximation presented by del Río and Elaskar (Int. J. Bifurc. Chaos 20:1185?1191, 2010) and Elaskar et al. (Physica A. 390:2759?2768, 2011) is extended to consider discontinuous RPD functions. The results of this analysis show that the characteristic relation only depends on the position of the lower bound of reinjection (LBR), therefore for the LBR below the tangent point the relation l ∝ ε−1/2 , where ε is the control parameter, remains robust regardless the form of the RPD, although the average of the laminar phases lcan change. Finally, the study of discontinuous RPD for type-I intermittency which occurs in a three-wave truncation model for the derivative nonlinear Schrodinger equation is presented. In all tests the theoretical results properly  verify the numerical data.