On coexistence patterns : hierarchies of intricate partially symmetric solutions to Stuart-Landau oscillators with nonlinear global coupling / Sindre W. Haugland
Haugland, Sindre W.
2023
QA867.5
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Title On coexistence patterns : hierarchies of intricate partially symmetric solutions to Stuart-Landau oscillators with nonlinear global coupling / Sindre W. Haugland
Author Haugland, Sindre W.
ISBN 9783031214981 (electronic bk.)
3031214986 (electronic bk.)
3031214978
9783031214974
DOI https://doi.org/10.1007/978-3-031-21498-1
Publication Details Cham : Springer, 2023.
Language English
Description 1 online resource (340 p.).
Item Number 10.1007/978-3-031-21498-1 doi
Call Number QA867.5
Dewey Decimal Classification 531/.32
Summary 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.
Note "Doctoral Thesis accepted by Technical University of Munich, Germany."
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed March 1, 2023).
Series Springer theses.
Available in Other Form On Coexistence Patterns
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Outline
General Background
From Two-Cluster State to Chimera
Coexistence Patterns of Four Oscillators
A Hierarchy of Solutions for N = 2n
Conclusion and Outlook.

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