On coexistence patterns : hierarchies of intricate partially symmetric solutions to Stuart-Landau oscillators with nonlinear global coupling / Sindre W. Haugland.

Format:

Book

Author/Creator:

Haugland, Sindre W., author.

Series:

Springer theses. .

Springer theses

Language:

English

Subjects (All):

Nonlinear oscillations.

Nonlinear oscillators.

Symmetry (Physics).

Physical Description:

1 online resource (340 pages)

Edition:

1st ed. 2023.

Place of Publication:

Cham, Switzerland : Springer, [2023]

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.

Contents:

Outline

General Background

From Two-Cluster State to Chimera

Coexistence Patterns of Four Oscillators

A Hierarchy of Solutions for N = 2n

Conclusion and Outlook.

Notes:

Description based on print version record.

Other Format:

Print version: Haugland, Sindre W. On Coexistence Patterns

ISBN:

9783031214981