کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
974651 1480133 2015 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Design of inner coupling matrix for robustly self-synchronizing networks
ترجمه فارسی عنوان
طراحی ماتریس کوپلینگ درونی برای شبکه های قوی همگام سازی
کلمات کلیدی
شبکه های پیچیده خود همگام سازی، ماتریس اتصال داخلی نیرومندی، تغییرات مشابهی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
چکیده انگلیسی


• Applicability of synchronization states in robustly self-synchronizing networks.
• Construct robustly self-synchronizing networks by designing inner coupling matrix.
• Design procedure for self-synchronizing faster than nodes’ equilibrium converging.
• Method keeps a matrix real after complex similarity transformation.

A self-synchronizing network may undergo change of scale and topology during its functioning, thus adjustment of parameters is necessary to enable the synchronization. The adjustment cost and runtime-break demand a method to maintain continuous operation of the network. To address these issues, this paper presents an analytical method for the design of the inner coupling matrix. The proposed method renders the synchronization robust to change of network scale and topology. It is usual in network models that scale and topology are represented by outer coupling matrix. In this paper we only consider diffusively coupled networks. For these networks, the eigenvalues of the outer coupling matrix are all non-positive. By utilizing this property, the designed inner coupling matrix can cover the entire left half of complex plane within the synchronized region to underlie robustness of synchronization. After elaborating the applicability of several types of synchronization state for a robustly self-synchronizing network, the analytical design method is given for the stable equilibrium point case. Sometimes the Jacobian matrix of the node dynamical equation may lead to an unrealizable complex inner coupling matrix in the method. We then introduce a lemma of matrix transformation to prevent this possibility. Additionally, we investigated the choice of inner coupling matrix to get a desirable self-synchronization speed. The corresponding condition in the design procedure is given to drive the network synchronization faster than convergence of each node. Finally, the article includes examples that show effectiveness and soundness of the method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 440, 15 December 2015, Pages 68–80
نویسندگان
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