Computational Analysis of Network ODE Systems in Metric Spaces: An Approach

Journal of computer sciences

Bagchi, Susmit¹ 

关键词: Networks;    Ordinary Differential Equations;    Metric Spaces;    Predicate;   

DOI  :  10.3844/jcssp.2017.1.10

学科分类：计算机科学（综合）

来源: Science Publications

【 摘 要 】

Traditionally, the concepts of graph theory are applied to design stationary computer networks and, to analyze dynamics of social networks. However, the majority of non-stationary network models are formulated by using Ordinary Differential Equations (ODE) with varying orders having homogeneous or non-homogeneous forms. However, the analysis of continuous solution spaces of ODE and understanding of the interplay of spaces in complex systems are difficult to formulate. This paper proposes an analytical model and an algorithm to analyze as well as determine characteristics of solution spaces of system of ODE. The analytical model employs structural elements of metric spaces. The algorithmic output and analysis illustrate that, the proposed model successfully determines the dynamics of solution intervals as well as structural interactions.

【 授权许可】

CC BY