dc.contributor
Universitat Politècnica de Catalunya. Departament de Física
dc.contributor.author
Sánchez Umbría, Juan
dc.contributor.author
Net Marcé, Marta
dc.date.accessioned
2026-03-09T04:11:47Z
dc.date.available
2026-03-09T04:11:47Z
dc.date.issued
2026-02-12
dc.identifier
Sanchez, J.; Net, M. Nested Feigenbaum cascades and Shil'nikovlike dynamics in convection of binary mixtures. «Communications in nonlinear science and numerical simulation», 12 Febrer 2026, article 109829.
dc.identifier
https://hdl.handle.net/2117/455414
dc.identifier
10.1016/j.cnsns.2026.109829
dc.identifier.uri
https://hdl.handle.net/2117/455414
dc.description.abstract
Numerical continuation and stability analysis of periodic orbits are used to analyze, under a dynamical systems point of view, the time dependent dynamics that arise from the steady convection of a H2 -Xe gas mixture, driven by lateral temperature and low concentration gradients. Both Soret and Dufour effects are taken into account. A bifurcation diagram consisting of sequences of period-doubling and saddle-node bifurcations is unfold. They give rise to a series of nested Feigenbaum cascades in a narrow region of the parameter space. Several types of cyclic and chaotic solutions close to heteroclinic orbits were found in the interval of the control parameter where the periodic orbits are unstable. The relations between them are established.
dc.description.abstract
This research has been supported by the Spanish Ministry of Science and Innovation and the European Regional Development Fund, under Grant No. PID2021-125535NB-I00. We would like to acknowledge the interest and support by the late Àngel Jorba Monte during most of the development of this study. Many thanks as well to Edgar Knobloch for his helpful comments.
dc.description.abstract
Peer Reviewed
dc.description.abstract
Postprint (published version)
dc.format
application/pdf
dc.relation
https://www.sciencedirect.com/science/article/pii/S1007570426001899
dc.relation
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2021-125535NB-I00/ES/METODOS ANALITICOS Y COMPUTACIONALES EN SISTEMAS DINAMICOS/
dc.rights
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights
Attribution-NonCommercial-NoDerivatives 4.0 International
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
dc.subject
Thermal convection
dc.subject
Binary mixtures
dc.subject
Periodic orbits
dc.subject
Period-doubling and saddle-node bifurcations
dc.subject
Cyclic and chaotic nearly-heteroclinic orbits
dc.title
Nested Feigenbaum cascades and Shil’nikovlike dynamics in convection of binary mixtures
