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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1999
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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: |
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. |
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