DocumentCode
1875002
Title
Oscillations and chaos in driven quasi-periodic oscillators
Author
Belhaq, Mohamed ; Houssni, Mohamed
Author_Institution
Lab. of Mech., Fac. of Sci., Ain Chock, Casablanca, Morocco
Volume
1
fYear
1997
fDate
27-29 Aug 1997
Firstpage
146
Abstract
We study the dynamics of a weakly nonlinear single-degree-of-freedom system subjected to parametric and external excitations. An asymptotic method is used to analyze the bifurcations of quasi-periodic solutions near strong resonances. By applying the Melnikov technique to the reduced system, it is shown that there exists transversal homoclinic orbits resulting in chaotic dynamics. By introducing a nonlinear resonant parametric perturbation in the system we analyze how chaos can be suppressed
Keywords
bifurcation; chaos; nonlinear dynamical systems; oscillations; vibrations; 1-DOF nonlinear system; Melnikov method; bifurcations; chaos; chaotic dynamics; dynamics; external excitation; oscillations; parametric excitation; quasi-periodic oscillators; reduced system; resonances; transversal homoclinic orbits; Bifurcation; Chaos; Laboratories; Motion analysis; Nonlinear dynamical systems; Nonlinear equations; Orbits; Oscillators; Pareto analysis; Resonance;
fLanguage
English
Publisher
ieee
Conference_Titel
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location
St. Petersburg
Print_ISBN
0-7803-4247-X
Type
conf
DOI
10.1109/COC.1997.633521
Filename
633521
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