TY - JOUR
T1 - Predicting period-doubling bifurcations in nonlinear time-delayed feedback systems
AU - Berns, Daniel W.
AU - Moiola, Jorge L.
AU - Chen, Guanrong
PY - 1998
Y1 - 1998
N2 - A graphical approach is developed in this paper for detecting the period-doubling bifurcation emerging near the Hopf bifurcation point of a time-delayed feedback system. The new algorithm employs higher-order harmonic balance approximations (HBAs) for estimating the predicted periodic solutions of the system. Prediction of the period-doubling bifurcation is accomplished using a type of distortion index based on some information about the higher-order harmonics. The time-delayed Chua's circuit is used as an example for illustration.
AB - A graphical approach is developed in this paper for detecting the period-doubling bifurcation emerging near the Hopf bifurcation point of a time-delayed feedback system. The new algorithm employs higher-order harmonic balance approximations (HBAs) for estimating the predicted periodic solutions of the system. Prediction of the period-doubling bifurcation is accomplished using a type of distortion index based on some information about the higher-order harmonics. The time-delayed Chua's circuit is used as an example for illustration.
UR - http://www.scopus.com/inward/record.url?scp=0031618656&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0031618656&origin=recordpage
U2 - 10.1109/ISCAS.1998.704088
DO - 10.1109/ISCAS.1998.704088
M3 - RGC 22 - Publication in policy or professional journal
SN - 0271-4310
VL - 3
SP - 619
EP - 622
JO - Proceedings - IEEE International Symposium on Circuits and Systems
JF - Proceedings - IEEE International Symposium on Circuits and Systems
T2 - Proceedings of the 1998 IEEE International Symposium on Circuits and Systems, ISCAS. Part 5 (of 6)
Y2 - 31 May 1998 through 3 June 1998
ER -