Chaos and bifurcations of the fractional-order unified system
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.
Kehui Sun Xia Wang Linzi Yin Congxu Zhu
School of Physics Science and Technology, Central South University, Changsha 410083 China
国际会议
2010国际混沌、分形理论与应用研讨会(IWCFTA 2010)
昆明
英文
301-305
2010-10-29（万方平台首次上网日期，不代表论文的发表时间）