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

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...

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Bibliographic Details
Published in:Mathematics (Basel) 2021-06, Vol.9 (12), p.1442
Main Authors: Solano, Joaquín, Balibrea, Francisco, Moreno, José Andrés
Format: Article
Language:English
Subjects:
Algorithms
Cauchy theorems
Circuit design
Circuits
Differential equations
Electronic circuits
Friction
Mathematical analysis
Mathematics
Methods
network simulation method
non-linear equations
Nonlinear differential equations
Nonlinear equations
power series
Simulation
Software
Variables
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9121442