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
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/123000
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Sumario: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.