Title :
Three-frequency resonances in a quasiperiodically driven system
Author :
Ross, Osvaldo A. ; Blanco, Susana
Author_Institution :
Inst. de Calculo, Buenos Aires Univ., Argentina
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;
Conference_Titel :
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-6434-1
DOI :
10.1109/COC.2000.874333
