Three-frequency resonances in dynamical systems

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We investigate numerically and experimentally dynamical systems having three interacting frequencies: a discrete mapping (a circle map), an exactly solvable model (a system of coupled ordinary differential equations), and an experimental device (an electronic oscillator). We compare the hierarchies...

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Detalles Bibliográficos
Autores principales:	Calvo, Oscar, Cartwright, Julyan H. E., González, Diego L., Piro, Oreste, Rosso, Osvaldo A.
Formato:	Articulo Preprint
Lenguaje:	Inglés
Publicado:	1999
Materias:	Ingeniería Ciencias Exactas Electronic oscillator Mathematics Ordinary differential equations Classical mechanics Dynamical systems theory Physics
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/123000
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-123000
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Ingeniería Ciencias Exactas Electronic oscillator Mathematics Ordinary differential equations Classical mechanics Dynamical systems theory Physics
spellingShingle	Ingeniería Ciencias Exactas Electronic oscillator Mathematics Ordinary differential equations Classical mechanics Dynamical systems theory Physics Calvo, Oscar Cartwright, Julyan H. E. González, Diego L. Piro, Oreste Rosso, Osvaldo A. Three-frequency resonances in dynamical systems
topic_facet	Ingeniería Ciencias Exactas Electronic oscillator Mathematics Ordinary differential equations Classical mechanics Dynamical systems theory Physics
description	We investigate numerically and experimentally dynamical systems having three interacting frequencies: a discrete mapping (a circle map), an exactly solvable model (a system of coupled ordinary differential equations), and an experimental device (an electronic oscillator). We compare the hierarchies of three-frequency resonances we find in each of these systems. All three show similar qualitative behaviour, suggesting the existence of generic features in the parameter-space organization of three-frequency resonances.
format	Articulo Preprint
author	Calvo, Oscar Cartwright, Julyan H. E. González, Diego L. Piro, Oreste Rosso, Osvaldo A.
author_facet	Calvo, Oscar Cartwright, Julyan H. E. González, Diego L. Piro, Oreste Rosso, Osvaldo A.
author_sort	Calvo, Oscar
title	Three-frequency resonances in dynamical systems
title_short	Three-frequency resonances in dynamical systems
title_full	Three-frequency resonances in dynamical systems
title_fullStr	Three-frequency resonances in dynamical systems
title_full_unstemmed	Three-frequency resonances in dynamical systems
title_sort	three-frequency resonances in dynamical systems
publishDate	1999
url	http://sedici.unlp.edu.ar/handle/10915/123000
work_keys_str_mv	AT calvooscar threefrequencyresonancesindynamicalsystems AT cartwrightjulyanhe threefrequencyresonancesindynamicalsystems AT gonzalezdiegol threefrequencyresonancesindynamicalsystems AT pirooreste threefrequencyresonancesindynamicalsystems AT rossoosvaldoa threefrequencyresonancesindynamicalsystems
bdutipo_str	Repositorios
_version_	1764820449603092482

Three-frequency resonances in dynamical systems

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