928 research outputs found

    Opinion dynamics on directed small-world networks

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    In this paper, we investigate the self-affirmation effect on formation of public opinion in a directed small-world social network. The system presents a non-equilibrium phase transition from a consensus state to a disordered state with coexistence of opinions. The dynamical behaviors are very sensitive to the density of long-range interactions and the strength of self-affirmation. When the long-range interactions are sparse and individual generally does not insist on his/her opinion, the system will display a continuous phase transition, in the opposite case with high self-affirmation strength and dense long-range interactions, the system does not display a phase transition. Between those two extreme cases, the system undergoes a discontinuous phase transition.Comment: 6 pages, 5 figure

    Summation Inequalities to Bounded Real Lemmas of Discrete-Time Systems With Time-Varying Delay

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    Ethyl 2-methyl-6-(propan-2-yl­amino)-4-sulfanyl­idene-3H,11H-pyrimido[1,6-c]quinazoline-1-carboxyl­ate

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    The title compound, C18H22N4O2S, contains a substituted pyrimidine ring fused to both a benzene ring and a substituted thioxopyrimidine ring. The pyrimidine and thioxopyrimidine rings adopt distorted chair conformations. In the crystal, adjacent mol­ecules are linked by pairs of N—H⋯S and N—H⋯O hydrogen bonds to generate centrosymmetric R 2 2(8) and R 2 2(16) loops, respectively. This combination leads to [100] chains of mol­ecules
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