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Springer Theses

Delay Controlled Partial Synchronization in Complex Networks

Authors: Sawicki, Jakub

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  • Nominated as an outstanding Ph.D. thesis by the Technical University of Berlin 
  • Includes a concise classification of multiplex networks and gives a brief introduction to bifurcation theory
  • Develops new analytical methods to predict synchronization with applications in neurosciences and music (organ pipes)
  • Provides measures to detect the novel phenomenon of partial synchronization patterns as double chimera states in triplex networks
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eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-030-34076-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-030-34075-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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. 

About the authors

Jakub Sawicki is a professional musician and physicist. His research is combining aspects of both fields. He studied music at Listaháskóli Islands University and University of Arts Berlin. Apart from his position as organist at Berlin Cathedral, Jakub Sawicki has deepened his studies of organ improvisation. He has engagements as choir and orchestra conductor and teaches improvisation at University of Arts Berlin. At the same time, he has continued his scientific research and received the Dr. rer. nat. degree from the Technical University Berlin. His research interests include synchronization phenomena in music, nonlinear delay differential equations, modeling of complex systems and neural dynamics.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-030-34076-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-030-34075-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Delay Controlled Partial Synchronization in Complex Networks
Authors
Series Title
Springer Theses
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-34076-6
DOI
10.1007/978-3-030-34076-6
Hardcover ISBN
978-3-030-34075-9
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XV, 166
Topics