Title :
On the detection of period doubling bifurcations in nonlinear feedback systems
Author :
Moiola, Jorge L. ; Berns, D.W.
Author_Institution :
Dept. de Ingenieria Electr., Univ. Nacional del Sur, Bahia Blanca, Argentina
Abstract :
In this work the detection of period doubling bifurcations is obtained using a frequency domain approach. The original approach has been applied efficiently in approximating periodic solutions from Hopf bifurcations while in this paper the emphasis is in the prediction of the first period doubling sequence. An application using higher-order harmonic balance approximations (HBA) is shown for the illustration of the technique
Keywords :
Jacobian matrices; bifurcation; feedback; frequency-domain analysis; function approximation; nonlinear control systems; first period doubling sequence; frequency domain approach; higher-order harmonic balance approximations; nonlinear feedback systems; period doubling bifurcations; Bifurcation; Chaos; Delay; Feedback; Frequency domain analysis; Nonlinear systems; Power system dynamics; Power system harmonics; Taylor series; Testing;
Conference_Titel :
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-4247-X
DOI :
10.1109/COC.1997.626645
