Análisis computacional de la convergencia del método de Newton-Raphson para el estudio de circuitos con elementos memristivos

The advent of the memristor as a fourth passive electronic element, has opened a research area that seeks to strengthen the study of memory devices and its construction. In fact, the memristor -resistance memoryhas allowed to extend the conception of memristive system to other elements such as memca...

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Autores:
Salamanca, Julian
Leal, J
Rodriguez, J
Tipo de recurso:
Article of journal
Fecha de publicación:
2014
Institución:
Universidad Cooperativa de Colombia
Repositorio:
Repositorio UCC
Idioma:
OAI Identifier:
oai:repository.ucc.edu.co:20.500.12494/42869
Acceso en línea:
https://doi.org/10.6018/eglobal.16.1.2227951
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84860121562&doi=10.3109%2f09638288.2011.631684&partnerID=40&md5=98e93c365f5b9fef2f0b0736f95da9fc
https://hdl.handle.net/20.500.12494/42869
Palabra clave:
Memristive systems Newton-Raphson
Memristor
Non-linear differential equations
Rights
closedAccess
License
http://purl.org/coar/access_right/c_14cb
Description
Summary:The advent of the memristor as a fourth passive electronic element, has opened a research area that seeks to strengthen the study of memory devices and its construction. In fact, the memristor -resistance memoryhas allowed to extend the conception of memristive system to other elements such as memcapacitors and meminductors. As a contribution to the study of circuits including memristive elements, this paper analyzes the computational solution of a nonlinear ordinary differential equation from a MRLC circuit, Memristor-Resistor-Inductor-Capacitor, by using the Newton-Raphson method, with a trapezoidal discretization method, to contrast it with the RLC circuit as its asymptotic limit when M ? 0. The result of this implementation will serve as a tool to validate, computationally, a further parametric study of circuits that include memristive elements.