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ECB-ART-47229
Chaos 2019 May 01;295:053114. doi: 10.1063/1.5048513.
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An investigation of the parameter space for a family of dissipative mappings.

de Oliveira JA , Montero LT , da Costa DR , Méndez-Bermúdez JA , Medrano-T RO , Leonel ED .


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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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Genes referenced: LOC583082