Applications of the Network Simulation Method to Differential Equations with Singularities and Chaotic Behaviour

Joaquín Solano, Francisco Balibrea and José Andrés Moreno
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Joaquín Solano: Department of Automation, Electrical Engineering and Electronic Technology, Faculty of Industrial Engineering, Politechnic University of Cartagena (UPCT), 30202 Cartagena, Spain
Francisco Balibrea: Department of Mathematics, Faculty of Mathematics, University of Murcia, 30100 Murcia, Spain
José Andrés Moreno: Department of Mechanical Engineering, Materials and Manufacturing, Faculty of Industrial Engineering, Politechnic University of Cartagena (UPCT), 30202 Cartagena, Spain

Mathematics, 2021, vol. 9, issue 12, 1-12

Abstract: In this paper, we deal with some applications of the network simulation method (NMS) to the non-linear differential equations derived of a parametric family associated to stated problems by Newton in and others like the parabolic mirror and van der Pol non-linear equation. We underly the efficientcy of the (NMS) method, compare it with Matlab procedures and present figures of solutions of the equations obtained by it on the mentioned problems. Additionally, we introduce also the electric-electronic circuits we have designed to be able of obtaining the solutions of the referred equations.

Keywords: network simulation method; non-linear equations; power series; Cauchy theorems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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