De Oliveira, Juliano A. [UNESP]Montero, Leonardo T. [UNESP]Da Costa, Diogo R.Méndez-Bermúdez, J. A.Medrano, Rene O.-T.Leonel, Edson D. [UNESP]2019-10-062019-10-062019-05-01Chaos, v. 29, n. 5, 2019.1054-1500http://hdl.handle.net/11449/189143The 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.engArtigo10.1063/1.5048513Acesso aberto2-s2.0-85065967769