Title :
Chaos and transient chaos in a simple oscillator with Coulomb friction law
Author :
Licskó, Gábor ; Csernák, Gábor
Author_Institution :
Dept. of Appl. Mech., Budapest Univ. of Technol. & Econ., Budapest, Hungary
Abstract :
In this paper we investigate a one degree-of-freedom friction oscillator that can exhibit chaotic behaviour. Moreover, this mechanical system also shows the peculiarities of transient chaos at certain parameters. We use known numerical techniques to unfold and visualize these phenomena and to calculate one of the most important measure of chaos and transient chaos, the Lyapunov exponent.
Keywords :
Lyapunov methods; chaos; friction; numerical analysis; oscillators; Coulomb friction law; Lyapunov exponent; chaos measurement calculation; chaotic behaviour; mechanical system; numerical techniques; one degree-of-freedom friction oscillator; phenomena unfolding; phenomena visualization; simple oscillator; transient chaos; Bifurcation; Chaos; Computational modeling; Friction; Mathematical model; Oscillators; Transient analysis;
Conference_Titel :
Nonlinear Science and Complexity (NSC), 2012 IEEE 4th International Conference on
Conference_Location :
Budapest
Print_ISBN :
978-1-4673-2702-2
Electronic_ISBN :
978-1-4673-2701-5
DOI :
10.1109/NSC.2012.6304739
