Title :
Predicting period-doubling bifurcations in nonlinear time-delayed feedback systems
Author :
Berns, Daniel W. ; Moiola, Jorge L. ; Chen, Guanrong
Author_Institution :
Dept. de Electron., Univ. Nacional de la Patagonia San Juan Bosco, Comodoro Rivadavia, Argentina
Abstract :
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
Keywords :
Chua´s circuit; bifurcation; delay systems; feedback; harmonics; nonlinear dynamical systems; Chua´s circuit; Hopf bifurcation point; distortion index; higher-order harmonic balance approximations; nonlinear time-delayed feedback systems; period-doubling bifurcations; predicted periodic solutions; Bifurcation; Chaotic communication; Difference equations; Differential equations; Feedback; Neural networks; Nonlinear circuits; Nonlinear dynamical systems; Vehicle dynamics; Vehicles;
Conference_Titel :
Circuits and Systems, 1998. ISCAS '98. Proceedings of the 1998 IEEE International Symposium on
Conference_Location :
Monterey, CA
Print_ISBN :
0-7803-4455-3
DOI :
10.1109/ISCAS.1998.704088
