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arXiv · 1709.10170

Controlling intermediate dynamics in a family of quadratic maps

Rafael M. da Silva·Cesar Manchein·Marcus W. Beims
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Abstract

The intermediate dynamics of composed one-dimensional maps is used to multiply attractors in phase space and create multiple independent bifurcation diagrams which can split apart. Results are shown for the composition of k-paradigmatic quadratic maps with distinct values of parameters generating k-independent bifurcation diagrams with corresponding k orbital points. For specific conditions, the basic mechanism for creating the shifted diagrams is the prohibition of period doubling bifurcations transformed in saddle-node bifurcations.

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Rafael M. da Silva, Cesar Manchein, Marcus W. Beims. 2017-09-28. Controlling intermediate dynamics in a family of quadratic maps. https://doi.org/10.1063/1.4985331

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