Quantifying sudden changes in dynamical systems using symbolic networks
Visualitza/Obre
10.1088/1367-2630/17/2/023068
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/76333
Tipus de documentArticle
Data publicació2015-02-24
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
:
Reconeixement 3.0 Espanya
ProjecteMULTIPLEX - Foundational Research on MULTIlevel comPLEX networks and systems (EC-FP7-317532)
Abstract
We characterize the evolution of a dynamical system by combining two well-known complex systems' tools, namely, symbolic ordinal analysis and networks. From the ordinal representation of a time series we construct a network in which every node weight represents the probability of an ordinal pattern (OP) to appear in the symbolic sequence and each edge's weight represents the probability of transitions between two consecutive OPs. Several network-based diagnostics are then proposed to characterize the dynamics of different systems: logistic, tent, and circle maps. We show that these diagnostics are able to capture changes produced in the dynamics as a control parameter is varied. We also apply our new measures to empirical data from semiconductor lasers and show that they are able to anticipate the polarization switchings, thus providing early warning signals of abrupt transitions.
CitacióMasoller, C., Hong, Y., Ayad, S., Gustave, F., Barland, S., Pons, A. J., Gómez, S., Arenas, A. Quantifying sudden changes in dynamical systems using symbolic networks. "New journal of physics", 24 Febrer 2015, núm. 2.
ISSN1367-2630
Versió de l'editorhttp://iopscience.iop.org/1367-2630/17/2/023068/
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
1367-2630_17_2_023068.pdf | 1,449Mb | Visualitza/Obre |