Title :
Numerical research on bifurcation and chaos in Duffing system
Author :
Wang, Mingyu ; Zhu, Shaoping
Author_Institution :
Sch. of Inf., Xi´´an Univ. of Finance & Econ., Xi´´an, China
Abstract :
In this paper, the bifurcation and chaos motion in a stable Duffing system is examined by means of both of the phase plot and the Lyapunov exponents. The relationship between the Lyapunov exponents and both of the periods doubling bifurcation and symmetry breaking bifurcation are shown in detail.
Keywords :
Lyapunov matrix equations; bifurcation; chaos; numerical analysis; spontaneous symmetry breaking; Lyapunov exponent; chaos motion; doubling bifurcation; numerical simulation; stable Duffing system; symmetry breaking bifurcation; Bifurcation; Chaos; Economics; Electronic mail; Finance; Numerical simulation; Vibrations; Duffing systems; Lyapunov exponents; bifurcation; chaos; numerical simulation;
Conference_Titel :
Electric Information and Control Engineering (ICEICE), 2011 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-8036-4
DOI :
10.1109/ICEICE.2011.5777237
