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Paper detail

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.

preprint2000arXivOpen access
O. CalvoJ. H. E. CartwrightD. L. GonzalezO. PiroO. Rosso
math.DSnlin.CD
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O. CalvoJ. H. E. CartwrightD. L. GonzalezO. PiroO. Rosso

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