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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Two-dimensional nonlinear map characterized by tunable Levy flights

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Mendez-Bermudez, J. A. [1] ; de Oliveira, Juliano A. [2] ; Leonel, Edson D. [3]
Total Authors: 3
[1] Benemerita Univ Autonoma Puebla, Inst Fis, Puebla 72570 - Mexico
[2] UNESP Univ Estadual Paulista, BR-13874149 Sao Paulo - Brazil
[3] UNESP Univ Estadual Paulista, Dept Fis, BR-13506900 Sao Paulo - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Physical Review E; v. 90, n. 4 OCT 27 2014.
Web of Science Citations: 1

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. (AU)

FAPESP's process: 12/23688-5 - Exponents and scaling laws, phase transitions and transport properties of time dependent systems
Grantee:Edson Denis Leonel
Support type: Regular Research Grants
FAPESP's process: 13/14655-9 - Dynamical and statistical properties of nonlinear discontinuous maps
Grantee:Edson Denis Leonel
Support type: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 14/18672-8 - Effects of dissipation, transient and dynamical properties in discrete mappings
Grantee:Juliano Antonio de Oliveira
Support type: Regular Research Grants