INVESTIGADORES
ELASKAR sergio Amado
artículos
Título:
Type-I Intermittency with Discontinuous Reinjection Probability Density in a Truncation Model of the Derivative Nonlinear Schrodinger Equation
Autor/es:
KRAUSE, GUSTAVO; ELASKAR, SERGIO; DEL RIO, EZEQUIEL
Revista:
NONLINEAR DYNAMICS
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; 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 [E. del R ́ and S. Elaskar, Int. J. Bifurcation Chaos, 20, 1185?1191 (2010); Elaskaret 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 l can 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 (DNLS) is presented. In all tests the theoretical results properly verify the numerical data.