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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Publicado: 1999
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02181274_v9_n11_p2181_Calvo
http://hdl.handle.net/20.500.12110/paper_02181274_v9_n11_p2181_Calvo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_02181274_v9_n11_p2181_Calvo
record_format dspace
spelling paper:paper_02181274_v9_n11_p2181_Calvo2023-06-08T15:21:21Z 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 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. 1999 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02181274_v9_n11_p2181_Calvo 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.
title Three-frequency resonances in dynamical systems
spellingShingle 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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02181274_v9_n11_p2181_Calvo
http://hdl.handle.net/20.500.12110/paper_02181274_v9_n11_p2181_Calvo
_version_ 1768544221961125888

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