Publicação: Two-dimensional nonlinear map characterized by tunable Levy flights
Nenhuma Miniatura disponível
Data
2014-10-27
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Amer Physical Soc
Tipo
Artigo
Direito de acesso
Acesso restrito
Resumo
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.
Descrição
Palavras-chave
Idioma
Inglês
Como citar
Physical Review E. College Pk: Amer Physical Soc, v. 90, n. 4, 5 p., 2014.
