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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.)

Effects of a parametric perturbation in the Hassell mapping

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Author(s):
de Oliveira, Juliano A. [1, 2] ; de Mendonca, Hans M. J. [1] ; da Costa, Diogo R. [1] ; Leonel, Edson D. [3, 1]
Total Authors: 4
Affiliation:
[1] Univ Estadual Paulista UNESP, Inst Geociencias & Ciencias Exatas, Dept Fis, Campus Rio Claro, Av 24A, 1515, BR-13506900 Sao Paulo, SP - Brazil
[2] Univ Estadual Paulista UNESP, Campus Sao Joao Boa Vista, BR-13876750 Sao Paulo, SP - Brazil
[3] Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste - Italy
Total Affiliations: 3
Document type: Review article
Source: CHAOS SOLITONS & FRACTALS; v. 113, p. 238-243, AUG 2018.
Web of Science Citations: 0
Abstract

The convergence to the fixed point near at a transcritical bifurcation and the organization of the extreming curves for a parametric perturbed Hassell mapping are investigated. The evolution of the orbits towards the fixed point at the transcritical bifurcation is described using a phenomenological approach with the support of scaling hypotheses and homogeneous function hence leading to a scaling law related with three critical exponents. Near the bifurcation the decay to the fixed point is exponential with a relaxation time given by a power law. The extreming curves in the parameter space dictates the organization for the windows of periodicity, consequently demonstrating how the set of shrimp-like structures are organized. (C) 2018 Elsevier Ltd. All rights reserved. (AU)

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