On Coexistence Patterns

Hierarchies of Intricate Partially Symmetric Solutions to Stuart-Landau Oscillators with Nonlinear Global Coupling

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Éditeur :

Springer


Collection :

Springer Theses

Paru le : 2023-02-20



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Description

This book is about coexistence patterns in ensembles of globally coupled nonlinear oscillators. Coexistence patterns in this respect are states of a dynamical system in which the dynamics in some parts of the system differ significantly from those in other parts, even though there is no underlying structural difference between the different parts. In other words, these asymmetric patterns emerge in a self-organized manner. 
As our main model, we use ensembles of various numbers of Stuart-Landau oscillators, all with the same natural frequency and all coupled equally strongly to each other. Employing computer simulations, bifurcation analysis and symmetry considerations, we uncover the mechanism behind a wide range of complex patterns found in these ensembles. Our starting point is the creation of so-called chimeras, which are subsequently treated within a new and broader context of related states.
Pages
325 pages
Collection
Springer Theses
Parution
2023-02-20
Marque
Springer
EAN papier
9783031214974
EAN PDF
9783031214981

Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
32
Taille du fichier
12524 Ko
Prix
210,99 €
EAN EPUB
9783031214981

Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
32
Taille du fichier
81971 Ko
Prix
210,99 €