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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.)

Critical Slowing Down at a Fold and a Period Doubling Bifurcations for a Gauss Map

Full text
Author(s):
de Oliveira, Juliano A. [1, 2] ; de Mendonca, Hans M. J. [1] ; da Silva, Anderson A. A. [1] ; Leonel, Edson D. [1]
Total Authors: 4
Affiliation:
[1] Univ Estadual Paulista UNESP, Inst Geociencias & Ciencias Exatas, Dept Fis, Campus Rio Claro, Ave 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: Journal article
Source: Brazilian Journal of Physics; v. 49, n. 6, p. 923-927, DEC 2019.
Web of Science Citations: 0
Abstract

The convergence to the stationary state is described using scaling arguments at a fold and a period doubling bifurcation in a one-dimensional Gauss map. Two procedures are used: (i) a phenomenological investigation leading to a set of critical exponents defining the universality class of the bifurcation and; (ii) analytical investigation that transforms, near the stationary state, the difference equation into an ordinary differential equation that is easily solved. The novelty of the procedure comes from the fact that it is firstly applied to the Gauss map and critical exponents for the fold bifurcations are defined. (AU)

FAPESP's process: 18/14685-9 - Transport properties and bifurcation analysis in nonlinear dynamical systems
Grantee:Juliano Antonio de Oliveira
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
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: 17/14414-2 - Scaling investigation in dynamical systems
Grantee:Edson Denis Leonel
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