Frequency scaling simulation of Chua’s circuit by automatic determination and control of step-size

A procedure is introduced to speed-up time simulation of Chua’s circuit by means of determining the eigenvalues of its state matrixes. A multistep method is applied with automatic control of step-size (h), where h is determined by the computation of the eigenvalues of the state matrixes which change...

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Detalles Bibliográficos
Autores: ESTEBAN TLELO CUAUTLE, JESUS MANUEL MUÑOZ PACHECO, Jorge Martinez_Carballido
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2007
País:México
Institución:Instituto Nacional de Astrofísica, Óptica y Electrónica
Repositorio:Repositorio Institucional del INAOE
Idioma:inglés
OAI Identifier:oai:inaoe.repositorioinstitucional.mx:1009/906
Acceso en línea:http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/906
Access Level:acceso abierto
Palabra clave:info:eu-repo/classification/Numerical simulation/Numerical simulation
info:eu-repo/classification/State variables approach/State variables approach
info:eu-repo/classification/Chua’s circuit/Chua’s circuit
info:eu-repo/classification/Step-size control/Step-size control
info:eu-repo/classification/Eigenvalues/Eigenvalues
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/22
info:eu-repo/classification/cti/2203
Descripción
Sumario:A procedure is introduced to speed-up time simulation of Chua’s circuit by means of determining the eigenvalues of its state matrixes. A multistep method is applied with automatic control of step-size (h), where h is determined by the computation of the eigenvalues of the state matrixes which change according to the slopes of Chua’s diode. It is shown that the proposed simulation procedure enhances the estimation of the values of the circuit elements in Chua’s circuit and the exploration on its frequency scaling behavior. Besides, it is not necessary to give an initial step-size for initializing the simulation.