THREE-FREQUENCY RESONANCES IN DYNAMICAL SYSTEMS

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Nov 1999Embargo end date: 01 Jan 2000 Spain, Argentina English Publisher:World Scientific Pub Co Pte LtJournal:International Journal of Bifurcation and Chaos, volume 9, pages 2,181-2,187 (issn: 0218-1274, eissn: 1793-6551,

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Authors: Calvo, Oscar; Cartwright, Julyan H. E.; González, Diego L.; Piro, Oreste; Rosso, Osvaldo A.;

doi: 10.1142/s0218127499001607 , 10.48550/arxiv.nlin/0007030

arXiv: nlin/0007030

handle: 10261/56042

THREE-FREQUENCY RESONANCES IN DYNAMICAL SYSTEMS

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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.

Countries

Spain, Argentina

Related Organizations

Spanish National Research Council
Spain
National Research Council
Italy
University of Buenos Aires
Argentina
Facultad de Ciencias Agrarias y Forestales
Argentina
National University of La Plata
Argentina

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Keywords

Physics, Ingeniería, FOS: Physical sciences, Electronic oscillator, Dynamical Systems (math.DS), Applications of dynamical systems, Nonlinear Sciences - Chaotic Dynamics, FOS: Mathematics, Dynamical systems theory, Nonlinear systems in control theory, Classical mechanics, Mathematics - Dynamical Systems, Chaotic Dynamics (nlin.CD), Ciencias Exactas, Mathematics, Ordinary differential equations

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