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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Autores principales: Calvo, O., Cartwright, J.H.E., González, D.L., Piro, O., Rosso, O.A.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02181274_v9_n11_p2181_Calvo
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spelling todo:paper_02181274_v9_n11_p2181_Calvo2023-10-03T15:10:46Z Three-frequency resonances in dynamical systems Calvo, O. Cartwright, J.H.E. González, D.L. Piro, O. Rosso, O.A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02181274_v9_n11_p2181_Calvo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
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 JOUR
author Calvo, O.
Cartwright, J.H.E.
González, D.L.
Piro, O.
Rosso, O.A.
spellingShingle Calvo, O.
Cartwright, J.H.E.
González, D.L.
Piro, O.
Rosso, O.A.
Three-frequency resonances in dynamical systems
author_facet Calvo, O.
Cartwright, J.H.E.
González, D.L.
Piro, O.
Rosso, O.A.
author_sort Calvo, O.
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
url http://hdl.handle.net/20.500.12110/paper_02181274_v9_n11_p2181_Calvo
work_keys_str_mv AT calvoo threefrequencyresonancesindynamicalsystems
AT cartwrightjhe threefrequencyresonancesindynamicalsystems
AT gonzalezdl threefrequencyresonancesindynamicalsystems
AT piroo threefrequencyresonancesindynamicalsystems
AT rossooa threefrequencyresonancesindynamicalsystems
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