Observability coefficients for predicting the class of synchronizability from the algebraic structure of the local oscillators

Abstract : Understanding the conditions under which a collective dynamics emerges in a complex network is still an open problem. A useful approach is the master stability function-and its related classes of synchronization-which offers a necessary condition to assess when a network successfully synchronizes. Observability coefficients, on the other hand, quantify how well the original state space of a system can be observed given only the access to a measured variable. The question is therefore pertinent: Given a generic dynamical system (represented by a state variable x) and given a generic measure on it h(x) (which may be either an observation of an external agent, or an output function through which the units of a network interact), are classes of synchronization and observability actually related to each other? We explicitly address this issue, and show a series of nontrivial relationships for networks of different popular chaotic systems (Rossler, Lorenz, and Hindmarsh-Rose oscillators). Our results suggest that specific dynamical properties can be evoked for explaining the classes of synchronizability.
Type de document :
Article dans une revue
Physical Review E, 2016, 94 (4), pp.042205. 〈10.1103/PhysRevE.94.042205〉
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01611231
Contributeur : Alexandre Poux <>
Soumis le : jeudi 5 octobre 2017 - 15:36:31
Dernière modification le : mardi 5 juin 2018 - 10:14:20

Identifiants

Citation

Irene Sendina-Nadal, Stefano Boccaletti, Christophe Letellier. Observability coefficients for predicting the class of synchronizability from the algebraic structure of the local oscillators. Physical Review E, 2016, 94 (4), pp.042205. 〈10.1103/PhysRevE.94.042205〉. 〈hal-01611231〉

Partager

Métriques

Consultations de la notice

57