书目名称 | Synchronization and Waves in Active Media | 编辑 | Jan Frederik Totz | 视频video | | 概述 | 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.D | 丛书名称 | Springer Theses | 图书封面 |  | 描述 | 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, w | 出版日期 | Book 2019 | 关键词 | Chimera State; Belousov-Zhabotinsky oscillators; Spiral Waves; Scroll Ring; Excitable media; Oscillatory | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-11057-4 | isbn_ebook | 978-3-030-11057-4Series ISSN 2190-5053 Series E-ISSN 2190-5061 | issn_series | 2190-5053 | copyright | Springer Nature Switzerland AG 2019 |
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