Abstract
In this thesis a number of self-organized patterns, that exhibit spatio-temporally periodic synchronized activity, are elucidated in numerical simulations and chemical experiments. Special focus is given to the propagation of excitation waves on different topologies.
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References
J.F. Totz, H. Engel, O. Steinbock, Spatial confinement causes lifetime enhancement and expansion of vortex rings with positive filament tension. New J. Phys. 17, 093043 (2015). http://dx.doi.org/10.1088/1367-2630/17/9/093043
A.T. Winfree, Electrical turbulence in three-dimensional heart muscle. Science 266, 1003 (1994). http://dx.doi.org/10.1126/science.7973648
J.F. Totz, R. Snari, D. Yengi, M.R. Tinsley, H. Engel, K. Showalter, Phase-lag synchronization in networks of coupled chemical oscillators. Phys. Rev. E 92, 022819 (2015). http://dx.doi.org/10.1103/PhysRevE.92.022819
D. Rubino, K.A. Robbins, N.G. Hatsopoulos, Propagating waves mediate information transfer in the motor cortex. Nat. Neurosci. 9, 1549 (2006). http://dx.doi.org/10.1038/nn1802
A.J. Ijspeert, Central pattern generators for locomotion control in animals and robots: a review. Neural Netw. 21, 642 (2008). http://dx.doi.org/10.1016/j.neunet.2008.03.014
Y. Kuramoto, D. Battogtokh, Coexistence of coherence and incoherence in nonlocally coupled phase oscillators. Nonlinear Phenom. Complex Syst. 5, 380 (2002). http://www.jnpcs.org/abstracts/vol2002/v5no4/v5no4p380.html
J.F. Totz, J. Rode, M.R. Tinsley, K. Showalter, H. Engel, Spiral wave chimera states in large populations of coupled chemical oscillators. Nat. Phys. 14, 282 (2018). http://dx.doi.org/10.1038/s41567-017-0005-8
A.T. Winfree, The Geometry of Biological Time, (Springer, Berlin, 2001). https://doi.org/10.1007/978-1-4757-3484-3
J.M. Anumonwo, M. Delmar, A. Vinet, D.C. Michaels, J. Jalife, Phase resetting and entrainment of pacemaker activity in single sinus nodal cells. Circ. Res. 68, 1138 (1991). http://dx.doi.org/10.1161/01.RES.68.4.1138
V. Varma, N. Mukherjee, N.N. Kannan, V.K. Sharma, Strong (Type 0) phase resetting of activity-rest rhythm in fruit flies, drosophila melanogaster, at low temperature. J. Biol. Rhythms 28, 380 (2013). http://dx.doi.org/10.1177/0748730413508922
C.R. Laing, Derivation of a neural field model from a network of theta neurons. Phys. Rev. E 90, 010901 (2014). http://dx.doi.org/10.1103/PhysRevE.90.010901
L. Schmidt, K. Schönleber, K. Krischer, V. García-Morales, Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling. Chaos 24, 013102 (2014). http://dx.doi.org/10.1063/1.4858996
E. Gil-Santos, M. Labousse, C. Baker, A. Goetschy, W. Hease, C. Gomez, A. Lemaître, G. Leo, C. Ciuti, I. Favero, Light-mediated cascaded locking of multiple nano-optomechanical oscillators. Phys. Rev. Lett. 118, 063605 (2017). http://dx.doi.org/10.1103/PhysRevLett.118.063605
H.W. Lau, J. Davidsen, C. Simon, Chimera patterns in conservative systems and ultracold atoms with mediated nonlocal hopping. arxiv (2017). http://arxiv.org/abs/1708.04375
V. In, A. Palacios, Superconductive quantum interference devices (SQUID), In Symmetry in Complex Network Systems (Springer, Berlin, 2018), pp. 127–163. http://dx.doi.org/10.1007/978-3-662-55545-3_4
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Totz, J.F. (2019). Conclusion. In: Synchronization and Waves in Active Media. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-11057-4_5
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DOI: https://doi.org/10.1007/978-3-030-11057-4_5
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