Overview
- 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
Part of the book series: Springer Theses (Springer Theses)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Synchronization and Waves in Active Media
Authors: Jan Frederik Totz
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-3-030-11057-4
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-11056-7Published: 31 January 2019
eBook ISBN: 978-3-030-11057-4Published: 18 January 2019
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XII, 164
Number of Illustrations: 110 b/w illustrations, 64 illustrations in colour
Topics: Applications of Nonlinear Dynamics and Chaos Theory, Statistical Physics and Dynamical Systems, Biological and Medical Physics, Biophysics