| Full text | |
| Author(s): |
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
|
| Affiliation: | [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 |
| Abstract | |
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 |