| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Estadual Paulista, Inst Geociencias & Ciencias Exatas, Dept Fis, UNESP, Campus Rio Claro, Av 24A, 1515, BR-13506900 Rio Claro, SP - Brazil
[2] Univ Estadual Paulista, UNESP, Campus Sao Joao da Boa Vista, BR-13876750 Sao Joao Da Boa Vista, SP - Brazil
Total Affiliations: 2
|
| Document type: | Review article |
| Source: | CHAOS SOLITONS & FRACTALS; v. 108, p. 119-122, MAR 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
We derived explicit forms for the convergence to the steady state for a 1-D Smith-Slatkin mapping at and near at bifurcations. We used a phenomenological description with a set of scaling hypothesis leading to a homogeneous function giving a scaling law. The procedure is supported by numerical simulations and confirmed by a theoretical description. At the bifurcation we used an approximation transforming the difference equation into a differential one whose solution remount all scaling features. Near the bifurcation an investigation of fixed point stability leads to the decay for the stationary state. Simulations are made in the pitchfork, transcritical and period doubling bifurcations. (C) 2018 Elsevier Ltd. All rights reserved. (AU) | |
| FAPESP's process: | 17/14414-2 - Scaling investigation in dynamical systems |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 17/17294-8 - Scaling laws and critical exponents in Smith and Slatkin model |
| Grantee: | Larissa Cristina Nascimento Ramos |
| Support Opportunities: | Scholarships in Brazil - Scientific Initiation |
| 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 |