By Eckehard Schöll, Sabine H. L. Klapp, Philipp Hövel
The ebook summarizes the cutting-edge of study on keep an eye on of self-organizing nonlinear structures with contributions from prime foreign specialists within the box. the 1st concentration issues fresh methodological advancements together with regulate of networks and of noisy and time-delayed structures. As a moment concentration, the publication positive factors rising techniques of program together with keep watch over of quantum structures, tender condensed subject, and organic platforms. distinctive subject matters reflecting the lively study within the box are the research and keep watch over of chimera states in classical networks and in quantum platforms, the mathematical therapy of multiscale structures, the keep watch over of colloidal and quantum shipping, the keep watch over of epidemics and of neural community dynamics.
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Example text
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3, with a particular emphasis to the TLO mean field theory and its extension to any generic state observable within the hysteretic region (Sect. 2). The emergence of clusters of locked and whirling oscillators is described in details in Sect. 3. The dynamics of the network for bimodal distributions is analyzed in Sect. 4. In particular, Sect. 1 is devoted to two non overlapping distributions and Sect. 2 to largely overlapping Gaussian distributions. 5 report the result of linear stability analysis for the considered distributions.
N. B. Blyuss, A. Koseska, B. Fiedler, E. Schöll, Time delay control of symmetry-breaking primary and secondary oscillation death. Europhys. Lett. 104, 50004 (2013) 50. A. Zakharova, M. Kapeller, E. Schöll, Amplitude chimeras and chimera death in dynamical networks. J. Phys. Conf. Ser. (2015). 03371 51. H. Risken, The Fokker-Planck Equation, 2nd edn. (Springer, Berlin, 1996) 52. I. Schneider, M. Kapeller, S. Loos, A. Zakharova, B. Fiedler, E. Schöll, Stable and transient multi-cluster oscillation death in nonlocally coupled networks.