Delay Controlled Partial Synchronization in Complex Networks / by Jakub Sawicki.

Format:

Book

Author/Creator:

Sawicki, Jakub, author.

Contributor:

SpringerLink (Online service)

Series:

Physics and Astronomy (Springer-11651)

Springer Theses, Recognizing Outstanding Ph.D. Research,. 2190-5053

Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053

Language:

English

Subjects (All):

Physics.

Neurosciences.

Acoustics.

Neurobiology.

System theory.

Acoustical engineering.

Applications of Graph Theory and Complex Networks.

Complex Systems.

Engineering Acoustics.

Local Subjects:

Applications of Graph Theory and Complex Networks.

Neurosciences.

Acoustics.

Neurobiology.

Complex Systems.

Engineering Acoustics.

Physical Description:

1 online resource (XV, 166 pages).

Edition:

First edition 2019.

Contained In:

Springer eBooks

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2019.

System Details:

text file PDF

Summary:

The focus of this thesis are synchronization phenomena in networks and their intrinsic control through time delay, which is ubiquitous in real-world systems ranging from physics and acoustics to neuroscience and engineering. We encounter synchronization everywhere and it can be either a helpful or a detrimental mechanism. In the first part, after a survey of complex nonlinear systems and networks, we show that a seemingly simple system of two organ pipes gives birth to complex bifurcation and synchronization scenarios. Going from a 2-oscillator system to a ring of oscillators, we encounter the intriguing phenomenon of chimera states which are partial synchrony patterns with coexisting domains of synchronized and desynchronized dynamics. For more than a decade scientist have tried to solve the puzzle of this spontaneous symmetry-breaking emerging in networks of identical elements. We provide an analysis of initial conditions and extend our model by the addition of time delay and fractal connectivities. In the second part, we investigate partial synchronization patterns in a neuronal network and explain dynamical asymmetry arising from the hemispheric structure of the human brain. A particular focus is on the novel scenario of partial relay synchronization in multiplex networks. Such networks allow for synchronization of the coherent domains of chimera states via a remote layer, whereas the incoherent domains remain desynchronized. The theoretical framework is demonstrated with different generic models. .

Contents:

Introduction

Complex Systems

Part 1: Single-Layer Systems

Two Coupled Oscillators

Chimeras in Net Works Without Delay

Interplay Of Delay and Fractal Topology

Part 2: Multilayer Systems

Partial Synchronization in 2-Community Networks

Multiplex Networks

Conclusion.

Other Format:

Printed edition:

ISBN:

978-3-030-34076-6

9783030340766

Access Restriction:

Restricted for use by site license.