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On coexistence patterns = hierarchie...

Haugland, Sindre W.

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On coexistence patterns = hierarchies of intricate partially symmetric solutions to stuart-landau oscillators with nonlinear global coupling /

Record Type:	Electronic resources : Monograph/item
Title/Author:	On coexistence patterns/ by Sindre W. Haugland.
Reminder of title:	hierarchies of intricate partially symmetric solutions to stuart-landau oscillators with nonlinear global coupling /
Author:	Haugland, Sindre W.
Published:	Cham :Springer International Publishing : : 2023.,
Description:	xix, 325 p. :ill. (some col.), digital ;24 cm.
Notes:	"Doctoral Thesis accepted by Technical University of Munich, Germany."
[NT 15003449]:	Outline -- General Background -- From Two-Cluster State to Chimera -- Coexistence Patterns of Four Oscillators -- A Hierarchy of Solutions for N = 2n -- Conclusion and Outlook.
Contained By:	Springer Nature eBook
Subject:	Nonlinear oscillations. -
Online resource:	https://doi.org/10.1007/978-3-031-21498-1
ISBN:	9783031214981

On coexistence patterns = hierarchies of intricate partially symmetric solutions to stuart-landau oscillators with nonlinear global coupling /
Haugland, Sindre W.

On coexistence patternshierarchies of intricate partially symmetric solutions to stuart-landau oscillators with nonlinear global coupling /[electronic resource] :by Sindre W. Haugland. - Cham :Springer International Publishing :2023. - xix, 325 p. :ill. (some col.), digital ;24 cm. - Springer theses,2190-5061. - Springer theses..

"Doctoral Thesis accepted by Technical University of Munich, Germany."

Outline -- General Background -- From Two-Cluster State to Chimera -- Coexistence Patterns of Four Oscillators -- A Hierarchy of Solutions for N = 2n -- Conclusion and Outlook.

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.

ISBN: 9783031214981

Standard No.: 10.1007/978-3-031-21498-1doiSubjects--Topical Terms:

652113
Nonlinear oscillations.

LC Class. No.: QA867.5 / .H38 2023

Dewey Class. No.: 531.32

On coexistence patterns = hierarchies of intricate partially symmetric solutions to stuart-landau oscillators with nonlinear global coupling /
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300 $a xix, 325 p. : $b ill. (some col.), digital ; $c 24 cm.
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505 0 $a Outline -- General Background -- From Two-Cluster State to Chimera -- Coexistence Patterns of Four Oscillators -- A Hierarchy of Solutions for N = 2n -- Conclusion and Outlook.
520 $a 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.
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