An eigenvalue study of the MLC circuit

Erik Lindberg; K. Murali

doi:10.1109/ICECS.1998.814935

An eigenvalue study of the MLC circuit

Erik Lindberg, K. Murali

Anna University

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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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

Original language	English
Title of host publication	Electronics, Circuits and Systems, 1998 IEEE International Conference on
Volume	2
Publisher	IEEE
Publication date	1998
Pages	521-524
ISBN (Print)	0-7803-5008-1
DOIs	https://doi.org/10.1109/ICECS.1998.814935
Publication status	Published - 1998
Event	1998 IEEE 5th International Conference on Electronics, Circuits and Systems - Lisboa, Portugal Duration: 7 Sept 1998 → 10 Sept 1998 Conference number: 5 https://ieeexplore.ieee.org/xpl/conhome/6599/proceeding http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=6599

Conference

Conference	1998 IEEE 5th International Conference on Electronics, Circuits and Systems
Number	5
Country/Territory	Portugal
City	Lisboa
Period	07/09/1998 → 10/09/1998
Internet address	https://ieeexplore.ieee.org/xpl/conhome/6599/proceeding http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=6599

Bibliographical note

Copyright: 1998 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

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title = "An eigenvalue study of the MLC circuit",

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",

author = "Erik Lindberg and K. Murali",

note = "Copyright: 1998 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE; 1998 IEEE 5th International Conference on Electronics, Circuits and Systems, ICECS 1998 ; Conference date: 07-09-1998 Through 10-09-1998",

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AB - 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

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ER -

An eigenvalue study of the MLC circuit

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