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010   $a3-030-11057-5
024 7 $a10.1007/978-3-030-11057-4
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035   $a(MiAaPQ)EBC5639442
035   $a(DE-He213)978-3-030-11057-4
035   $a(PPN)233796282
035   $a(EXLCZ)994100000007522607
100   $a20190118d2019      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aSynchronization and Waves in Active Media /$fby Jan Frederik Totz
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (172 pages)
225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053
311   $a3-030-11056-7 
327   $aIntroduction -- Confined Scroll Rings -- Target Wave Synchronization on a Network -- Spiral Wave Chimera -- Appendix: Dimensional Reduction of Oscillators and Oscillatory Patterns.
330   $aThe interplay between synchronization and spatio-temporal pattern formation is central for a broad variety of phenomena in nature, such as the coordinated contraction of heart tissue, associative memory and learning in neural networks, and pathological synchronization during Parkinson disease or epilepsy. In this thesis, three open puzzles of fundametal research in Nonlinear Dynamics are tackled: How does spatial confinement affect the dynamics of three-dimensional vortex rings? What role do permutation symmetries play in the spreading of excitation waves on networks? Does the spiral wave chimera state really exist? All investigations combine a theoretical approach and experimental verification, which exploit an oscillatory chemical reaction. A novel experimental setup is developed that allows for studying networks with N > 1000 neuromorphic relaxation oscillators. It facilitates the free choice of network topology, coupling function as well as its strength, range and time delay, which can even be chosen as time-dependent. These experimental capabilities open the door to a broad range of future experimental inquiries into pattern formation and synchronization on large networks, which were previously out of reach. .
410  0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053
606   $aStatistical physics
606   $aBiophysics
606   $aBiophysics
606   $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020
606   $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090
606   $aBiological and Medical Physics, Biophysics$3https://scigraph.springernature.com/ontologies/product-market-codes/P27008
615  0$aStatistical physics.
615  0$aBiophysics.
615  0$aBiophysics.
615 14$aApplications of Nonlinear Dynamics and Chaos Theory.
615 24$aStatistical Physics and Dynamical Systems.
615 24$aBiological and Medical Physics, Biophysics.
676   $a531.1133
676   $a530.124
700   $aTotz$b Jan Frederik$4aut$4http://id.loc.gov/vocabulary/relators/aut$0838581
906   $aBOOK
912   $a9910337869803321
996   $aSynchronization and Waves in Active Media$91873069
997   $aUNINA