Title :
A quasi-analytical method for period-doubling bifurcation
Author :
Berns, Daniel W. ; Moiola, Jorge L. ; Chen, Guanrong
Author_Institution :
Dept. de Ing. Electr., Univ. Nacional Patagonia, Comodoro Rivadavia, Argentina
Abstract :
Prediction of period-doubling bifurcation is accomplished very accurately by using higher-order Harmonic Balance Approximations (HBAs) and quasi-analytical monodromy-matrix evaluation. Approximation error analysis is carried out for the computation. An accurate detection of first period-doubling bifurcation in Chua´s circuit is demonstrated
Keywords :
Chua´s circuit; bifurcation; circuit stability; error analysis; limit cycles; Chua circuit; approximation error analysis; higher-order harmonic balance approximations; monodromy-matrix evaluation; nonlinear dynamical systems; period-doubling bifurcation; quasi-analytical method; Bifurcation; Chaos; Circuit analysis computing; Cities and towns; Equations; Error analysis; Frequency; Jacobian matrices; Polynomials; Vectors;
Conference_Titel :
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6685-9
DOI :
10.1109/ISCAS.2001.921438
