Title :
Bifurcation analysis of Chua´s circuit
Author :
Chua, Leon O. ; Huynh, Luong T.
Author_Institution :
California Univ., Berkeley, CA, USA
Abstract :
By transforming the state equation for Chua´s circuit into a third-order scalar differential equation, an explicit solution is obtained. This explicit solution can be used to make a computer program to calculate the trajectory of the circuit. The eigenvalues of the characteristic equation for each linear region can be categorized into different patterns. The diagrams of the eigenvalue patterns are found to belong to two groups. Within each group, the maps resemble each other qualitatively. The explicit solution is applied to trace period doublings up to a high period. The data are found to agree with the Feigenbaum number
Keywords :
bifurcation; chaos; circuit analysis computing; eigenvalues and eigenfunctions; nonlinear network analysis; Chua´s circuit; Feigenbaum number; characteristic equation; computer program; eigenvalues; period doublings; state equation; third-order scalar differential equation; trajectory; Bifurcation; Circuit analysis; Differential equations; Eigenvalues and eigenfunctions; Nonlinear equations; Piecewise linear techniques; Resistors; Transforms; Vectors;
Conference_Titel :
Circuits and Systems, 1992., Proceedings of the 35th Midwest Symposium on
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-0510-8
DOI :
10.1109/MWSCAS.1992.271217
