Title :
Period doubling and period plus one law-chaotic phenomena in similar Chua´s circuit
Author_Institution :
Shanghai Inst. of Mech. Eng., China
Abstract :
The author describes some interesting phenomena discovered in a similar Chua´s circuit. First he looks briefly at the circuit structure and state equation, and then determines the possible chaotic behavior from the property of the eigenvalues according to Shilnikov theorem. Some valuable results are obtained by both experiments and spectrum analysis, i.e., period doubling leads to chaos from the equilibrium and then it obeys the law of period-chaos-period plus 1. Finally, a bifurcation formula is given and a possible numerical range leading to chaos from bifurcation is offered when parameter G is changed
Keywords :
chaos; eigenvalues and eigenfunctions; nonlinear network analysis; spectral analysis; Chua´s circuit; Shilnikov theorem; bifurcation formula; chaotic phenomena; eigenvalues; period doubling; period plus one law; spectrum analysis; state equation; Bifurcation; Chaos; Circuits; Equations; Motion analysis; Resistors; Voltage;
Conference_Titel :
Circuits and Systems, 1991. Conference Proceedings, China., 1991 International Conference on
Conference_Location :
Shenzhen
DOI :
10.1109/CICCAS.1991.184464