Title :
On cyclic fold bifurcations in nonlinear systems
Author :
Caladrini, G. ; Berns, D. ; Paolini, Eduardo ; Moiola, Jorge
Author_Institution :
Dept. de Ingenieria Electr., Univerisdad Nacional del Sur, Bahia Blanca, Argentina
Abstract :
Approximations to recover the branch of multiple periodic solutions starting from a Hopf bifurcation under the variation of the main bifurcation parameter are proposed. This task is accomplished with a normal form method and, simultaneously, by using a frequency domain approach. The classical Sibirskii´s example and Chua´s circuit are shown for illustration of the main results
Keywords :
Chua´s circuit; bifurcation; frequency-domain analysis; nonlinear systems; Chua´s circuit; Hopf bifurcation; Sibirskii´s example; bifurcation parameter; cyclic fold bifurcations; frequency domain approach; multiple periodic solutions; nonlinear systems; normal form method; Bifurcation; Circuits; Councils; Frequency domain analysis; Harmonic analysis; Jacobian matrices; Limit-cycles; Nonlinear systems; Systems engineering and theory; Transmission line matrix methods;
Conference_Titel :
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location :
Geneva
Print_ISBN :
0-7803-5482-6
DOI :
10.1109/ISCAS.2000.856371
