DocumentCode
3272908
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
fYear
2011
fDate
15-17 April 2011
Firstpage
3391
Lastpage
3394
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Electric Information and Control Engineering (ICEICE), 2011 International Conference on
Conference_Location
Wuhan
Print_ISBN
978-1-4244-8036-4
Type
conf
DOI
10.1109/ICEICE.2011.5777237
Filename
5777237
Link To Document