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
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;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on
Conference_Location :
Kunming, Yunnan
Print_ISBN :
978-1-4244-8815-5
DOI :
10.1109/IWCFTA.2010.43
