Home > Articles > Published articles > A Route to Chaos in the Boros-Moll Map |
Date: | 2019 |
Abstract: | The Boros-Moll map appears as a subsystem of a Landen transformation associated to certain rational integrals and its dynamics is related to their convergence. In the paper, we study the dynamics of a one-parameter family of maps which unfold 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. We especially explain the main contact/homoclinic bifurcations that occur in the family. We also report some other bifurcation phenomena that appear in the considered unfolding. |
Grants: | Ministerio de Economía y Competitividad DPI2016-77407-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-388 |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Boros-Moll map ; Chaotic set ; Critical line ; Homoclinic bifurcation ; Noninvertible planar map ; Snapback repellor |
Published in: | International journal of bifurcation and chaos in applied sciences and engineering, Vol. 29, Núm. 4 (April 2019) , art. 1930009, ISSN 1793-6551 |
Postprint 20 p, 1.7 MB |