Synchronization and Waves in Active Media / by Jan Frederik Totz.

Format:

Book

Author/Creator:

Totz, Jan Frederik, author.

Contributor:

SpringerLink (Online service)

Series:

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

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

Language:

English

Subjects (All):

Statistical physics.

Applications of Nonlinear Dynamics and Chaos Theory.

Statistical Physics and Dynamical Systems.

Biological and Medical Physics, Biophysics.

Local Subjects:

Applications of Nonlinear Dynamics and Chaos Theory.

Statistical Physics and Dynamical Systems.

Biological and Medical Physics, Biophysics.

Physical Description:

1 online resource (XII, 164 pages) : 174 illustrations, 64 illustrations in color.

Contained In:

Springer eBooks

Place of Publication:

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

System Details:

text file PDF

Summary:

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. .

Contents:

Introduction

Confined Scroll Rings

Target Wave Synchronization on a Network

Spiral Wave Chimera

Appendix: Dimensional Reduction of Oscillators and Oscillatory Patterns.

Other Format:

Printed edition:

ISBN:

978-3-030-11057-4

9783030110574

Access Restriction:

Restricted for use by site license.