國立高雄大學圖資館 |

Language: English

Back

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	On coexistence patternsby 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."
Contained By:	Springer Nature eBook
Subject:	Nonlinear oscillations.
Online resource:	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 /
LDR:02299nmm a2200349 a 4500 001 640539
003 DE-He213
005 20230220160123.0
006 m d
007 cr nn 008maaau
008 231025s2023 sz s 0 eng d
020 $a 9783031214981$q(electronic bk.)
020 $a 9783031214974$q(paper)
024 7 $a 10.1007/978-3-031-21498-1 $2 doi
035 $a 978-3-031-21498-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA867.5 $b .H38 2023
072 7 $a GPFC $2 bicssc
072 7 $a SCI055000 $2 bisacsh
072 7 $a GPFC $2 thema
082 0 4 $a 531.32 $2 23
090 $a QA867.5 $b .H371 2023
100 1 $a Haugland, Sindre W. $3 947280
245 1 0 $a On coexistence patterns $h [electronic resource] : $b hierarchies of intricate partially symmetric solutions to stuart-landau oscillators with nonlinear global coupling / $c by Sindre W. Haugland.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2023.
300 $a xix, 325 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Springer theses, $x 2190-5061
500 $a "Doctoral Thesis accepted by Technical University of Munich, Germany."
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.
650 0 $a Nonlinear oscillations. $3 215804
650 0 $a Nonlinear oscillators. $3 681850
650 0 $a Symmetry (Physics) $3 202528
650 1 4 $a Complex Systems. $3 558544
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 376743
650 2 4 $a Waves, instabilities and nonlinear plasma dynamics. $3 919553
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Springer theses. $3 557607
856 4 0 $u https://doi.org/10.1007/978-3-031-21498-1
950 $a Physics and Astronomy (SpringerNature-11651)