dc.contributor.author |
Gardini, Laura |
dc.contributor.author |
Mañosa Fernández, Víctor |
dc.contributor.author |
Sushko, Iryna |
dc.date |
2019 |
dc.identifier |
https://ddd.uab.cat/record/204395 |
dc.identifier |
urn:10.1142/S021812741930009X |
dc.identifier |
urn:oai:ddd.uab.cat:204395 |
dc.identifier |
urn:scopus_id:85064612932 |
dc.identifier |
urn:articleid:17936551v29n4p1930009 |
dc.identifier |
urn:gsduab:4859 |
dc.identifier |
urn:wos_id:000465494700001 |
dc.identifier |
urn:altmetric_id:38111770 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Ministerio de Economía y Competitividad DPI2016-77407-P |
dc.relation |
Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-388 |
dc.relation |
International journal of bifurcation and chaos in applied sciences and engineering ; Vol. 29, Núm. 4 (April 2019), art. 1930009 |
dc.rights |
open access |
dc.rights |
Tots els drets reservats. |
dc.rights |
https://rightsstatements.org/vocab/InC/1.0/ |
dc.subject |
Boros-Moll map |
dc.subject |
Chaotic set |
dc.subject |
Critical line |
dc.subject |
Homoclinic bifurcation |
dc.subject |
Noninvertible planar map |
dc.subject |
Snapback repellor |
dc.title |
A Route to Chaos in the Boros-Moll Map |
dc.type |
Article |
dc.description.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. |