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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.)

An investigation of the parameter space for a family of dissipative mappings

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de Oliveira, Juliano A. [1, 2] ; Montero, Leonardo T. [2] ; da Costa, Diogo R. [3] ; Mendez-Bermudez, J. A. [4] ; Medrano-T, Rene O. [5] ; Leonel, Edson D. [1]
Total Authors: 6
[1] Univ Estadual Paulista UNESP, Dept Fis, Inst Geociencias & Ciencias Exatas, Campus Rio Claro, Ave 24A, 1515, BR-13506900 Sao Paulo, SP - Brazil
[2] Univ Estadual Paulista UNESP, Campus Sao Joao da Boa Vista, BR-13876750 Sao Paulo, SP - Brazil
[3] Univ Estadual Ponta Grossa, Programa Posgrad Ciencias Fis, Campus Uvaranas, BR-84030900 Ponta Grossa, PR - Brazil
[4] Benemerita Univ Autonoma Puebla, Inst Fis, Apartado Postal J-48, Puebla 72570 - Mexico
[5] Univ Fed Sao Paulo UNIFESP, Dept Fis, Inst Ciencias Ambientais Quim & Farmaceut, Campus Diadema, R Sao Nicolau 210, BR-09913030 Sao Paulo, SP - Brazil
Total Affiliations: 5
Document type: Journal article
Source: Chaos; v. 29, n. 5 MAY 2019.
Web of Science Citations: 1

The parameter plane investigation for a family of two-dimensional, nonlinear, and area contracting map is made. Several dynamical features in the system such as tangent, period-doubling, pitchfork, and cusp bifurcations were found and discussed together with cascades of period-adding, period-doubling, and the Feigeinbaum scenario. The presence of spring and saddle-area structures allow us to conclude that cubic homoclinic tangencies are present in the system. A set of complex sets such as streets with the same periodicity and the period-adding of spring-areas are observed in the parameter space of the mapping. (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: 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: 17/14414-2 - Scaling investigation in dynamical systems
Grantee:Edson Denis Leonel
Support Opportunities: Regular Research Grants
FAPESP's process: 15/50122-0 - Dynamic phenomena in complex networks: basics and applications
Grantee:Elbert Einstein Nehrer Macau
Support Opportunities: Research Projects - Thematic Grants