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

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	On coexistence patternsby Sindre W. Haugland.
其他題名:	hierarchies of intricate partially symmetric solutions to stuart-landau oscillators with nonlinear global coupling /
作者:	Haugland, Sindre W.
出版者:	Cham :Springer International Publishing :2023.
面頁冊數:	xix, 325 p. :ill. (some col.), digital ;24 cm.
附註:	"Doctoral Thesis accepted by Technical University of Munich, Germany."
Contained By:	Springer Nature eBook
標題:	Nonlinear oscillations.
電子資源:	https://doi.org/10.1007/978-3-031-21498-1
ISBN:	9783031214981$q(electronic bk.)

On coexistence patternshierarchies 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$q(electronic bk.)

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

215804
Nonlinear oscillations.

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

Dewey Class. No.: 531.32

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