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, 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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Descripción
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.