Stability of a ring of coupled van der Pol oscillators with non-uniform distribution of the coupling parameter



Título del documento: Stability of a ring of coupled van der Pol oscillators with non-uniform distribution of the coupling parameter
Revista: Journal of applied research and technology
Base de datos: PERIÓDICA
Número de sistema: 000395668
ISSN: 1665-6423
Autors: 1
Institucions: 1Universidad Autónoma Metropolitana, Azcapotzalco, Ciudad de México. México
Any:
Període: Feb
Volum: 14
Número: 1
Paginació: 62-66
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Aplicado, descriptivo
Resumen en inglés The stability of a ring of coupled van der Pol oscillators is studied in this work considering a non-uniform distribution of the coupling parameter along the ring. The stability analysis is based on the transformation of the linearized equation of the ring into a canonical Hill equation. A stability condition is derived considering the stability of the non-periodic term of the Hill equation. Stable and unstable dynamic behavior of the ring is studied by means of numerical simulations
Disciplines Ingeniería,
Matemáticas
Paraules clau: Ingeniería mecánica,
Matemáticas aplicadas,
Osciladores acoplados,
Parámetros de acoplamiento,
Ecuación de Hill,
Condiciones de estabilidad,
Oscilador van der Pol
Keyword: Engineering,
Mathematics,
Mechanical engineering,
Applied mathematics,
Coupled oscillators,
Coupling parameters,
Hill equation,
Stability conditions,
Van der Pol oscilator
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