dc.contributor.author |
Cimà, Anna |
dc.contributor.author |
Gasull, Armengol |
dc.contributor.author |
Mañosa Fernández, Víctor |
dc.date |
2020 |
dc.identifier |
https://ddd.uab.cat/record/228115 |
dc.identifier |
urn:10.1007/s11071-020-05656-w |
dc.identifier |
urn:oai:ddd.uab.cat:228115 |
dc.identifier |
urn:scopus_id:85084241519 |
dc.identifier |
urn:gsduab:4937 |
dc.identifier |
urn:articleid:1573269Xv102p1033 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Ministerio de Economía y Competitividad MTM2016-77278-P |
dc.relation |
Ministerio de Economía y Competitividad DPI2016-77407-P |
dc.relation |
Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 |
dc.relation |
Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-388 |
dc.relation |
Nonlinear Dynamics ; vol. 102 (April 2020) p. 1033-1043 |
dc.rights |
open access |
dc.rights |
Tots els drets reservats. |
dc.rights |
https://rightsstatements.org/vocab/InC/1.0/ |
dc.subject |
Continuous dynamical systems with seasonality |
dc.subject |
Non-hyperbolic critical points |
dc.subject |
Local asymptotic stability |
dc.subject |
Parrondo's dynamic paradox |
dc.title |
A dynamic Parrondo's paradox for continuous seasonal systems |
dc.type |
Article |
dc.description.abstract |
We show that planar continuous alternating systems, which can be used to model systems with seasonality, can exhibit a type of Parrondo's dynamic paradox, in which the stability of an equilibrium, common to all seasons is reversed for the global seasonal system. As a byproduct of our approach we also prove that there are locally invertible orientation preserving planar maps that cannot be the time-1 flow map of any smooth planar vector field. |