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A route to chaos in the Boros-Moll map

Author
Gardini, L.; Mañosa, V.; Sushko, I.
Type of activity
Report
Date
2018-04-18
Code
arXiv:1804.06587 [nlin.CD]
Project funding
Rate-dependent hysteresis: modeling, analysis and identification, with applications to magnetorheological dampers
Repository
http://hdl.handle.net/2117/116829 Open in new window
URL
https://arxiv.org/abs/1804.06587 Open in new window
Abstract
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...
Citation
Gardini, L., Mañosa, V., Sushko, I. "A route to chaos in the Boros-Moll map". 2018.
Keywords
Attractors, Boros-Moll map, Landen transformations, bifurcations, chaos, periodic orbits.
Group of research
CoDAlab - Control, Dynamics and Applications

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