DocumentCode
349803
Title
An eigenvalue study of the MLC circuit
Author
Lindberg, E. ; Murali, K.
Author_Institution
Dept. of Inf. Technol., Tech. Univ., Lyngby, Denmark
Volume
2
fYear
1998
fDate
1998
Firstpage
521
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Electronics, Circuits and Systems, 1998 IEEE International Conference on
Conference_Location
Lisboa
Print_ISBN
0-7803-5008-1
Type
conf
DOI
10.1109/ICECS.1998.814935
Filename
814935
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