Artículos de revistas
Two-dimensional nonlinear map characterized by tunable Levy flights
Fecha
2014-10-27Registro en:
Physical Review E. College Pk: Amer Physical Soc, v. 90, n. 4, 5 p., 2014.
1539-3755
10.1103/PhysRevE.90.042138
WOS:000349304600001
6130644232718610
Autor
Benemerita Univ Autonoma Puebla
Universidade Estadual Paulista (Unesp)
Institución
Resumen
After recognizing that point particles moving inside the extended version of the rippled billiard perform Levy flights characterized by a Levy-type distribution P(l) similar to l(-(1+alpha)) with alpha = 1, we derive a generalized two-dimensional nonlinear map M alpha able to produce Levy flights described by P(l) with 0 < alpha < 2. Due to this property, we call M alpha the Levy map. Then, by applying Chirikov's overlapping resonance criteria, we are able to identify the onset of global chaos as a function of the parameters of the map. With this, we state the conditions under which the Levy map could be used as a Levy pseudorandom number generator and furthermore confirm its applicability by computing scattering properties of disordered wires.