Springer Theses

Synchronization and Waves in Active Media

Authors: Totz, Jan Frederik

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  • Nominated as an outstanding Ph.D thesis by the Technical University of Berlin, Berlin, Germany
  • Reviews mathematical reduction theory for continuous oscillator fields and discrete coupled oscillators
  • Describes the chemistry behind the oscillatory BZ reaction
  • Provides a tutorial on scientific computing on GPUs
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About this book

The interplay between synchronization and spatio-temporal pattern formation is central for a broad variety of phenomena in nature, such as the coordinated contraction of heart tissue, associative memory and learning in neural networks, and pathological synchronization during Parkinson disease or epilepsy. 
In this thesis, three open puzzles of fundametal research in Nonlinear Dynamics are tackled: How does spatial confinement affect the dynamics of three-dimensional vortex rings? What role do permutation symmetries play in the spreading of excitation waves on networks? Does the spiral wave chimera state really exist?
All investigations combine a theoretical approach and experimental verification, which exploit an oscillatory chemical reaction.  A novel experimental setup is developed that allows for studying networks with N > 1000 neuromorphic relaxation oscillators. It facilitates the free choice of network topology, coupling function as well as its strength, range and time delay, which can even be chosen as time-dependent. These experimental capabilities open the door to a broad range of future experimental inquiries into pattern formation and synchronization on large networks, which were previously out of reach.  

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-030-11057-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-030-11056-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Synchronization and Waves in Active Media
Authors
Series Title
Springer Theses
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-11057-4
DOI
10.1007/978-3-030-11057-4
Hardcover ISBN
978-3-030-11056-7
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XII, 164
Number of Illustrations
110 b/w illustrations, 64 illustrations in colour
Topics