Title :
Nonchaotic behavior in nonlinear vibration system with stochastic excitation
Author :
Yoshida, Katsutoshi ; Sato, Keijin ; Suzuki, Takashi
Author_Institution :
Dept. of Mech. Syst. Eng., Utsunomiya Univ., Japan
Abstract :
Chaotic and nonchaotic behaviors of the physical pendulum with parametric excitation are investigated. Previous studies examining experimental chaotic behavior mainly focused on their deterministic characteristics even if the target system contains stochastic elements which are sometimes unavoidable in experimental setup. In view of this, this paper investigates the chaotic and nonchaotic behaviors in experiments by using stochastic models. The experimental nonchaotic behavior resembles deterministic chaos in spectral characteristics while having negative largest Lyapunov exponents. This feature is well modeled by stochastic behavior near neutral stable points
Keywords :
Lyapunov methods; chaos; nonlinear dynamical systems; stochastic processes; vibrations; chaotic behaviors; deterministic chaos; deterministic characteristics; negative largest Lyapunov exponents; neutral stable points; nonchaotic behaviors; nonlinear vibration system; stochastic elements; stochastic excitation; stochastic models; Chaos; Data engineering; Distribution functions; Extraterrestrial measurements; Mechanical systems; Stochastic processes; Stochastic systems; Systems engineering and theory; Veins; Vibrations;
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.2000.873989
