Testing Critical Slowing Down as a Bifurcation Indicator in a Low-Dissipation Dynamical System
| Autor: | Alexis Gomel, Mathias Marconi, T. Quiniou, A. Acquaviva, C. Métayer, J. R. Tredicce, J. M. Boyer, Cristina Masoller, Massimo Giudici |
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| Přispěvatelé: | Institut de sciences exactes et appliquées (ISEA), Université de la Nouvelle-Calédonie (UNC), Universitat Politècnica de Catalunya. Departament de Física, Universitat Politècnica de Catalunya. DONLL - Dinàmica no Lineal, Òptica no Lineal i Làsers, BUNC, Pole ID |
| Rok vydání: | 2020 |
| Předmět: |
FOS: Physical sciences
General Physics and Astronomy Perturbation (astronomy) Pattern Formation and Solitons (nlin.PS) 01 natural sciences [PHYS] Physics [physics] 010309 optics Transcritical bifurcation Bifurcation theory 0103 physical sciences Nonlinear systems 010306 general physics Nonlinear Sciences::Pattern Formation and Solitons ComputingMilieux_MISCELLANEOUS Bifurcation [PHYS]Physics [physics] Physics Bifurcació Teoria de la Física [Àrees temàtiques de la UPC] Sistemes no lineals Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics [Àrees temàtiques de la UPC] Mechanics Nonlinear Sciences - Chaotic Dynamics Nonlinear Sciences - Pattern Formation and Solitons Dynamics Nonlinear Dynamics Dinàmica Chaotic Dynamics (nlin.CD) Low dissipation |
| Zdroj: | Physical Review Letters Physical Review Letters, 2020 UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| ISSN: | 1079-7114 0031-9007 |
| DOI: | 10.1103/physrevlett.125.134102 |
| Popis: | We study a two-dimensional low-dissipation nonautonomous dynamical system, with a control parameter that is swept linearly in time across a transcritical bifurcation. We investigate the relaxation time of a perturbation applied to a variable of the system and we show that critical slowing down may occur at a parameter value well above the bifurcation point. We test experimentally the occurrence of critical slowing down by applying a perturbation to the accessible control parameter and we find that this perturbation leaves the system behavior unaltered, thus providing no useful information on the occurrence of critical slowing down. The theoretical analysis reveals the reasons why these tests fail in predicting an incoming bifurcation. JRT thanks the program ECOS-Sud A14E03 Evénements extr^emes en dynamique non linéaire for granting support to this research. MG and MM acknowledge ANR Blason (ANR-18-CE24-0002). CM acknowledges partial support from Spanish MINECO (PGC2018-099443-B-I00) and from the program ICREA ACADEMIA of Generalitat de Catalunya. |
| Databáze: | OpenAIRE |
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