Three-frequency resonances in dynamical systems

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

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