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Open Access item Three-frequency resonances in dynamical systems

Authors:Calvo, Óscar
Cartwright, Julyan H. E.
González, Diego L.
Piro, Oreste
Rosso, Osvaldo A.
Issue Date:1999
Publisher:World Scientific Publishing
Citation:International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9: 2181–2187 (1999)
Abstract: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
Publisher version (URL):http://dx.doi.org/10.1142/S0218127499001607
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