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
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;
Conference_Titel :
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-4247-X
DOI :
10.1109/COC.1997.633521
