By Eckehard Schöll, Sabine H. L. Klapp, Philipp Hövel
The e-book summarizes the state of the art of analysis on keep watch over of self-organizing nonlinear structures with contributions from top foreign specialists within the box. the 1st concentration matters fresh methodological advancements together with keep an eye on of networks and of noisy and time-delayed structures. As a moment concentration, the ebook gains rising strategies of software together with keep watch over of quantum structures, smooth condensed topic, and organic structures. distinctive issues reflecting the lively learn within the box are the research and regulate of chimera states in classical networks and in quantum platforms, the mathematical therapy of multiscale platforms, the regulate of colloidal and quantum shipping, the keep watch over of epidemics and of neural community dynamics.
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This unified quantity is a set of invited articles on themes awarded on the Symposium on structures, keep watch over, and Networks, held in Berkeley June 5–7, 2005, in honor of Pravin Varaiya on his sixty fifth birthday. Varaiya is an eminent college member of the college of California at Berkeley, well known for his seminal contributions in parts as varied as stochastic structures, nonlinear and hybrid platforms, allotted structures, conversation networks, transportation structures, strength networks, economics, optimization, and platforms schooling.
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2. Panel (b): Average order parameter r¯ versus the coupling constant K for various system sizes N and m = 1. Data have been obtained by averaging the order parameter over a time window TW = 200, after discarding a transient time TR = 5,000–50,000 depending on the system size 2 Dynamics of Fully Coupled Rotators … 41 Finally, we examine the influence of the system size on the studied transitions: for m = 1 the results for the protocol (I) [protocol (II)] simulations are reported in Fig. 10b for sizes ranging from N = 1,000 to N = 10,000.
110, 60003 (2015) 54. S. Loos, A. C. Claussen, E. Schöll. Chimera patterns under the impact of noise. Phys. Rev. E (2016). 04010v2 Chapter 2 Dynamics of Fully Coupled Rotators with Unimodal and Bimodal Frequency Distribution Simona Olmi and Alessandro Torcini Abstract We analyze the synchronization transition of a globally coupled network of N phase oscillators with inertia (rotators) whose natural frequencies are unimodally or bimodally distributed. In the unimodal case, the system exhibits a discontinuous hysteretic transition from an incoherent to a partially synchronized (PS) state.
Nishikawa, Spontaneous synchrony in power-grid networks. Nat. Phys. 9, 191–197 (2013) 44. C. G. S. Miguel, Localized coherence in two interacting populations of social agents. Phys. A 399, 24–30 (2014) 45. C. J. L. Lima, Behavioral, neurophysiological and evolutionary perspectives on unihemispheric sleep. Neurosci. Biobehav. Rev. 24, 817–842 (2000) 46. A. Rothkegel, K. Lehnertz, Irregular macroscopic dynamics due to chimera states in smallworld networks of pulse-coupled oscillators. New J. Phys.