DocumentCode
1707751
Title
Chaos and Bifurcations of the Fractional-order Unified System
Author
Sun, Kehui ; Wang, Xia ; Yin, Linzi ; Zhu, Congxu
Author_Institution
Sch. of Phys. Sci. & Technol., Central South Univ., Changsha, China
fYear
2010
Firstpage
301
Lastpage
305
Abstract
Using the time-domain scheme, the chaos and bifurcations behaviors in the fractional-order unified system are investigated numerically. Complex dynamics with interesting characteristics are presented by means of bifurcation diagrams. Chaos does exist in this system for a wide range of fractional orders, and some typical bifurcations are observed, such as pitchfork bifurcation, period-doubling bifurcation, an attractor-merging crisis bifurcation, and transient chaos. The results show that the lowest order we found for this fractional-order system to yield chaos is 2.65.
Keywords
bifurcation; chaos; attractor-merging crisis bifurcation; bifurcation diagrams; complex dynamics; fractional-order unified system; period-doubling bifurcation; pitchfork bifurcation; time-domain scheme; transient chaos; Bifurcation; Chaos; Fractals; Frequency domain analysis; Solitons; Transient analysis; Bifurcation; Chaos; Fractional-order calculus; the unified system;
fLanguage
English
Publisher
ieee
Conference_Titel
Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on
Conference_Location
Kunming, Yunnan
Print_ISBN
978-1-4244-8815-5
Type
conf
DOI
10.1109/IWCFTA.2010.43
Filename
5671181
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