کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5776392 1631972 2017 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotical properties of social network dynamics on time scales
ترجمه فارسی عنوان
خواص همبستگی دینامیک شبکه اجتماعی در مقیاس زمانی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
In this paper we develop conditions for various types of stability in social networks governed by Imitation of Success principle. Considering so-called Prisoner's Dilemma as the base of node-to-node game in the network we obtain well-known Hopfield neural network model. Asymptotic behavior of the original model and dynamic Hopfield model has a certain correspondence. To obtain more general results, we consider Hopfield model dynamic system on time scales. Developed stability conditions combine main parameters of network structure such as network size and maximum relative nodes' degree with the main characteristics of time scale, nodes' inertia and resistance, rate of input-output response.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 319, 1 August 2017, Pages 413-422
نویسندگان
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