Title :
An eigenvalue study of the MLC circuit
Author :
Lindberg, E. ; Murali, K.
Author_Institution :
Dept. of Inf. Technol., Tech. Univ., Lyngby, Denmark
Abstract :
The MLC (Murali-Lakshmanan-Chua) circuit is the simplest non-autonomous chaotic circuit. Insight in the behaviour of the circuit is obtained by means of a study of the eigenvalues of the linearized Jacobian of the nonlinear differential equations. The trajectories of the eigenvalues as functions of the parallel loss conductance are found. An explanation of the chaotic behaviour based on the behaviour of the autonomous system is given
Keywords :
Chua´s circuit; Jacobian matrices; chaos; circuit stability; eigenvalues and eigenfunctions; nonlinear differential equations; nonlinear network analysis; poles and zeros; Murali-Lakshmanan-Chua circuit; eigenvalues; limit cycle; linearized Jacobian; nonautonomous chaotic circuit; nonlinear differential equations; parallel loss conductance; real poles; trajectories; unstable point of balance; Capacitors; Chaos; Circuits; Coils; Conductors; Diodes; Eigenvalues and eigenfunctions; Jacobian matrices; Resistors; Voltage;
Conference_Titel :
Electronics, Circuits and Systems, 1998 IEEE International Conference on
Conference_Location :
Lisboa
Print_ISBN :
0-7803-5008-1
DOI :
10.1109/ICECS.1998.814935
