| Full text | |
| Author(s): |
de Mendonca, Hans M. J.
;
Leonel, Edson D.
;
de Oliveira, Juliano A.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 466, p. 537-543, JAN 15 2017. |
| Web of Science Citations: | 1 |
| Abstract | |
We investigate the convergence to the fixed point and near it in a transcritical bifurcation observed in a Hassell mapping. We considered a phenomenological description which was reinforced by a theoretical description. At the bifurcation, we confirm the convergence for the fixed point is characterized by a homogeneous function with three exponents. Near the bifurcation the decay to the fixed point is exponential with a relaxation time given by a power law. Although the expression of the mapping is different from the traditional logistic mapping, at the bifurcation and near it, the local dynamics is essentially the same for either mappings. (C) 2016 Elsevier B.V. All rights reserved. (AU) | |
| 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 |
| 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: | 15/22062-3 - Scaling properties and cascades bifurcations in one-dimensional discrete maps |
| Grantee: | Hans Muller Junho de Mendonça |
| Support Opportunities: | Scholarships in Brazil - Master |