TY - GEN
T1 - Fractional-order memcapacitor-based Chua's circuit and its chaotic behaviour analysis
AU - Qu, Kai
AU - Si, Gangquan
AU - Guo, Zhang
AU - Xu, Xiang
AU - Li, Shuang
AU - Zhang, Yanbin
N1 - Publisher Copyright:
© 2018 IEEE.
PY - 2018/7/6
Y1 - 2018/7/6
N2 - In this paper, a simulation model of the charge-controlled memcapacitor is realized, and fractional calculus is used to analyze it. An interesting phenomena found out is that the curve is bent downward as the parameter order-α decreases. And then, the fractional-order memcapacitor Chua's differential equations are presented. Theory analysis and simulation results show the influence of the fractional-order to the system dynamics. The nonlinear dynamics of the above fractional-order nonlinear system including phase graphs, time domain waveforms and bifurcation diagrams are studied in detail, during which many interesting phenomena are discovered. We observe that chaos seems to disappear as the order q decreases. Meanwhile, when q1 =3D q2 =3D q3 =3D 0.90, the chaos disappeared completely. Finally, corresponding bifurcation diagram of variable Y versus parameter q, q1, q2 and q3 are presented respectively, and get a conclusion that the order q3 has the greatest influence on Chaos than q1 and q2.
AB - In this paper, a simulation model of the charge-controlled memcapacitor is realized, and fractional calculus is used to analyze it. An interesting phenomena found out is that the curve is bent downward as the parameter order-α decreases. And then, the fractional-order memcapacitor Chua's differential equations are presented. Theory analysis and simulation results show the influence of the fractional-order to the system dynamics. The nonlinear dynamics of the above fractional-order nonlinear system including phase graphs, time domain waveforms and bifurcation diagrams are studied in detail, during which many interesting phenomena are discovered. We observe that chaos seems to disappear as the order q decreases. Meanwhile, when q1 =3D q2 =3D q3 =3D 0.90, the chaos disappeared completely. Finally, corresponding bifurcation diagram of variable Y versus parameter q, q1, q2 and q3 are presented respectively, and get a conclusion that the order q3 has the greatest influence on Chaos than q1 and q2.
KW - Fractional calculus
KW - Fractional-order Memcapacitor
KW - oscillator and chaos
UR - https://www.scopus.com/pages/publications/85050872568
U2 - 10.1109/CCDC.2018.8407256
DO - 10.1109/CCDC.2018.8407256
M3 - 会议稿件
AN - SCOPUS:85050872568
T3 - Proceedings of the 30th Chinese Control and Decision Conference, CCDC 2018
SP - 889
EP - 894
BT - Proceedings of the 30th Chinese Control and Decision Conference, CCDC 2018
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 30th Chinese Control and Decision Conference, CCDC 2018
Y2 - 9 June 2018 through 11 June 2018
ER -