dc.contributor.author |
Canela Sánchez, Jordi |
dc.contributor.author |
Alsedà i Soler, Lluís |
dc.contributor.author |
Fagella Rabionet, Núria |
dc.contributor.author |
Sardanyés, Josep |
dc.date |
2022 |
dc.date |
info:eu-repo/date/embargoEnd/2024-03-31 |
dc.date.accessioned |
2022-10-31T18:31:18Z |
dc.date.available |
2022-10-31T18:31:18Z |
dc.date.issued |
2022-10-31 |
dc.identifier |
https://ddd.uab.cat/record/257111 |
dc.identifier |
urn:10.1016/j.chaos.2021.111780 |
dc.identifier |
urn:oai:ddd.uab.cat:257111 |
dc.identifier |
urn:scopus_id:85122709974 |
dc.identifier |
urn:articleid:09600779v156p111780 |
dc.identifier |
urn:gsduab:5536 |
dc.identifier.uri |
http://hdl.handle.net/2072/527185 |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Agencia Estatal de Investigación CEX2020-001084-M |
dc.relation |
Ministerio de Economía y Competitividad MDM-2014-0445 |
dc.relation |
Agencia Estatal de Investigación PID2020-118281GB-C32 |
dc.relation |
Agencia Estatal de Investigación MTM2017-86795-C3-3-P |
dc.relation |
Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1374 |
dc.relation |
Agencia Estatal de Investigación PID2020-118281GB-C31 |
dc.relation |
Agencia Estatal de Investigación MTM2017-86795-C3-1-P |
dc.relation |
Agencia Estatal de Investigación RTI2018-098322-B-I00 |
dc.relation |
Ministerio de Ciencia e Innovación RYC-2017-22243 |
dc.relation |
Chaos, solitons and fractals ; Vol. 156 (March 2022), art. 111780 |
dc.rights |
embargoed access |
dc.rights |
Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades. |
dc.rights |
https://creativecommons.org/licenses/by-nc-nd/4.0/ |
dc.subject |
Complexification |
dc.subject |
Discrete dynamics |
dc.subject |
Ghosts |
dc.subject |
Holomorphic dynamics |
dc.subject |
Saddle-node bifurcation |
dc.subject |
Scaling laws |
dc.subject |
Tansients |
dc.title |
Dynamical mechanism behind ghosts unveiled in a map complexification |
dc.type |
Article |
dc.description.abstract |
Altres ajuts: CERCA Programme/Generalitat de Catalunya, projecte UJI-B2019-18 de la Universitat Jaume I i ICREA Acadèmia 2020 |
dc.description.abstract |
Complex systems such as ecosystems, electronic circuits, lasers, or chemical reactions can be modelled by dynamical systems which typically experience bifurcations. It is known that transients become extremely long close to bifurcations, also following well-defined scaling laws as the bifurcation parameter gets closer the bifurcation value. For saddle-node bifurcations, the dynamical mechanism responsible for these delays, tangible at the real numbers phase space (so-called ghosts), occurs at the complex phase space. To study this phenomenon we have complexified an ecological map with a saddle-node bifurcation. We have investigated the complex (as opposed to real) dynamics after this bifurcation, identifying the fundamental mechanism causing such long delays, given by the presence of two repellers in the complex space. Such repellers appear to be extremely close to the real line, thus forming a narrow channel close to the two new fixed points and responsible for the slow passage of the orbits. We analytically provide the relation between the well-known inverse square-root scaling law of transient times and the multipliers of these repellers. We finally prove that the same phenomenon occurs for more general i.e. non-necessarily polynomial, models. |