DocumentCode
2495484
Title
Three-frequency resonances in a quasiperiodically driven system
Author
Ross, Osvaldo A. ; Blanco, Susana
Author_Institution
Inst. de Calculo, Buenos Aires Univ., Argentina
Volume
3
fYear
2000
fDate
2000
Firstpage
565
Abstract
The fine structure of three-frequency resonances is investigated in an exactly solvable model (nonlinear system of coupled ordinary differential equations). In particular the qualitative behavior founded suggest the existence of generic features in the corresponding parameter space organization. In particular we have identified an hierarchical structure of the stability widths which can be adequately described in terms of a generalized Farey sum operation between fractions of real numbers
Keywords
differential equations; nonlinear dynamical systems; resonance; coupled ordinary differential equations; exactly solvable model; fine structure; generalized Farey sum operation; generic features; hierarchical structure; parameter space organization; quasiperiodically driven system; stability widths; three-frequency resonances; Chaos; Couplings; Differential equations; Frequency; Harmonic analysis; Nonlinear systems; Orbits; Oscillators; Resonance; Stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location
St. Petersburg
Print_ISBN
0-7803-6434-1
Type
conf
DOI
10.1109/COC.2000.874333
Filename
874333
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