Synchronization in Complex Systems Following the Decision Based Queuing Process: The Rhythmic Applause as a Test Case

Living communities can be considered as complex systems, thus a fertile ground for studies related to their statistics and dynamics. In this study we revisit the case of the rhythmic applause by utilizing the model proposed by V\'azquez et al. [A. V\'azquez et al., Phys. Rev. E 73, 036127 (2006)] augmented with two contradicted {\it driving forces}, namely: {\it Individuality} and {\it Companionship}. To that extend, after performing computer simulations with a large number of oscillators we propose an explanation on the following open questions (a) why synchronization occurs suddenly, and b) why synchronization is observed when the clapping period ($T_c$) is $1.5 \cdot T_s < T_c < 2.0 \cdot T_s$ ($T_s$ is the mean self period of the spectators) and is lost after a time. Moreover, based on the model, a weak preferential attachment principle is proposed which can produce complex networks obeying power law in the distribution of number edges per node with exponent greater than 3.Comment: 16 pages, 5 figure

A critical analysis of the performance of new generation functionals on the calculation of the (hyper) polarizabilities of clusters of varying stoichiometry: Test case the SimGen (m + n = 7, n = 0-7) clusters

cited By 14International audienceThe continuous efforts on the improvement of the Density Functional Theory (DFT) resulted to a plethora of new functionals. A choice of the promising ones belonging to the long-range corrected, hybrid meta-GGA, and the double-hybrid families along with the HF and MP2 ab initio methods have been introduced in electric response properties calculations of SimGen (m + n = 7, n = 0-7) clusters. An information theory based analysis of the obtained results enables us to assess the methods relative performance. The findings suggest that the methods are grouped, in respect to their overall performance, as: group A = MP2, B2PLYP, mPW2PLYP, group B = BLYP, B3LYP, group C = M06, CAM-B3LYP, LC-BLYP, HF and D = M06, with distinct and large differences between them. © 2010 Elsevier B.V. All rights reserved