The reservoir's perspective on generalized synchronization.


Journal

Chaos (Woodbury, N.Y.)
ISSN: 1089-7682
Titre abrégé: Chaos
Pays: United States
ID NLM: 100971574

Informations de publication

Date de publication:
Sep 2019
Historique:
entrez: 3 10 2019
pubmed: 3 10 2019
medline: 3 10 2019
Statut: ppublish

Résumé

We employ reservoir computing for a reconstruction task in coupled chaotic systems, across a range of dynamical relationships including generalized synchronization. For a drive-response setup, a temporal representation of the synchronized state is discussed as an alternative to the known instantaneous form. The reservoir has access to both representations through its fading memory property, each with advantages in different dynamical regimes. We also extract signatures of the maximal conditional Lyapunov exponent in the performance of variations of the reservoir topology. Moreover, the reservoir model reproduces different levels of consistency where there is no synchronization. In a bidirectional coupling setup, high reconstruction accuracy is achieved despite poor observability and independent of generalized synchronization.

Identifiants

pubmed: 31575144
doi: 10.1063/1.5120733
doi:

Types de publication

Journal Article

Langues

eng

Sous-ensembles de citation

IM

Pagination

093133

Auteurs

Thomas Lymburn (T)

Complex Systems Group, Department of Mathematics and Statistics, The University of Western Australia, Crawley, Western Australia 6009, Australia.

David M Walker (DM)

Complex Systems Group, Department of Mathematics and Statistics, The University of Western Australia, Crawley, Western Australia 6009, Australia.

Michael Small (M)

Complex Systems Group, Department of Mathematics and Statistics, The University of Western Australia, Crawley, Western Australia 6009, Australia.

Thomas Jüngling (T)

Complex Systems Group, Department of Mathematics and Statistics, The University of Western Australia, Crawley, Western Australia 6009, Australia.

Classifications MeSH