Formulating Analytical Solution of Network ODE Systems Based on Input Excitations

Susmit Bagchi
Volume: 14, No: 2, Page: 455 ~ 468, Year: 2018
10.3745/JIPS.03.0092
Keywords: Computer Networks, Convergent Functions, Dynamic Networks, Ordinary Differential Equations
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Abstract
The concepts of graph theory are applied to model and analyze dynamics of computer networks, biochemical networks and, semantics of social networks. The analysis of dynamics of complex networks is important in order to determine the stability and performance of networked systems. The analysis of non-stationary and nonlinear complex networks requires the applications of ordinary differential equations (ODE). However, the process of resolving input excitation to the dynamic non-stationary networks is difficult without involving external functions. This paper proposes an analytical formulation for generating solutions of nonlinear network ODE systems with functional decomposition. Furthermore, the input excitations are analytically resolved in linearized dynamic networks. The stability condition of dynamic networks is determined. The proposed analytical framework is generalized in nature and does not require any domain or range constraints.

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Cite this article
IEEE Style
Susmit Bagchi, "Formulating Analytical Solution of Network ODE Systems Based on Input Excitations," Journal of Information Processing Systems, vol. 14, no. 2, pp. 455~468, 2018. DOI: 10.3745/JIPS.03.0092.

ACM Style
Susmit Bagchi, "Formulating Analytical Solution of Network ODE Systems Based on Input Excitations," Journal of Information Processing Systems, 14, 2, (2018), 455~468. DOI: 10.3745/JIPS.03.0092.