An investigation of the parameter space for a family of dissipative mappings
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2019-05-01
Autores
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]
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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.
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Chaos, v. 29, n. 5, 2019.