A route to chaos in the Boros-Moll map
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The Boros-Moll map appears as a subsystem of a Landen transformation associated to certain rational integrals and its dynamics is related to the convergence of them. In the paper, we study the dynamics of a one-parameter family of maps which unfolds the Boros-Moll one, showing that the existence of an unbounded invariant chaotic region in the Boros-Moll map is a peculiar feature within the family. We relate this singularity with a specific property of the critical lines that occurs only for this special case. In particular, we explain how the unbounded chaotic region in the Boros-Moll map appears. Special attention is devoted to explain the main contact/homoclinic bifurcations that occur in the family. We also report some other bifurcation phenomena that appear in the considered unfolding.
CitationGardini, L., Mañosa, V., Sushko, I. "A route to chaos in the Boros-Moll map". 2018.
Is part ofarXiv:1804.06587 [nlin.CD]
URL other repositoryhttps://arxiv.org/abs/1804.06587