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Three-frequency resonances in dynamical systems

AuthorsCalvo, Óscar; Cartwright, Julyan H. E.; González, Diego L.; Piro, Oreste ; Rosso, Osvaldo A.
Issue Date1999
PublisherWorld Scientific Publishing
CitationInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9: 2181–2187 (1999)
AbstractWe 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
Appears in Collections:(IMEDEA) Artículos
(IACT) Artículos
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