| Full text | |
| Author(s): |
Mendez-Bermudez, J. A.
[1]
;
de Oliveira, Juliano A.
[2]
;
Aguilar-Sanchez, R.
[3]
;
Leonel, Edson D.
[4, 5]
Total Authors: 4
|
| Affiliation: | [1] Benemerita Univ Autonoma Puebla, Inst Fis, Puebla 72570 - Mexico
[2] Univ Estadual Paulista, UNESP, BR-13874149 Sao Joao Da Boa Vista, SP - Brazil
[3] Benemerita Univ Autonoma Puebla, Fac Ciencias Quim, Puebla 72570 - Mexico
[4] Univ Estadual Paulista, UNESP, Dept Fis, BR-13506900 Rio Claro, SP - Brazil
[5] Abdus Salam Int Ctr Theoret Phys, I-34151 Trieste - Italy
Total Affiliations: 5
|
| Document type: | Journal article |
| Source: | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 436, p. 943-951, OCT 15 2015. |
| Web of Science Citations: | 0 |
| Abstract | |
Scaling exponents that describe a transition from integrability to non-integrability in a family of two-dimensional, nonlinear, and discontinuous mappings are obtained. The mapping considered is parameterized by the exponent gamma in the action variable. The scaling exponents describing the behavior of the average square action along the chaotic orbits are obtained for different values of gamma; therefore classes of universality can be defined. For specific values of gamma our mapping acts as the discontinuous-map representation of well-known nonlinear systems, thus making our study broadly applicable. Also, the formalism used is general and the procedure can be extended to characterize many other dynamical systems. (C) 2015 Elsevier B.V. All rights reserved. (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 Opportunities: | Regular Research Grants |
| FAPESP's process: | 14/25997-0 - Complex networks: a random matrix approach |
| Grantee: | Francisco Aparecido Rodrigues |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 13/14655-9 - Dynamical and statistical properties of nonlinear discontinuous maps |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | 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 Opportunities: | Regular Research Grants |