Hyperchaotic circuit with damped harmonic oscillators

Erik Lindberg, K. Murali, A. Tamasevicius

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    Abstract

    A simple fourth-order hyperchaotic circuit with damped harmonic oscillators is described. ANP3 and PSpice simulations including an eigenvalue study of the linearized Jacobian are presented together with a hardware implementation. The circuit contains two inductors with series resistance, two ideal capacitors and one nonlinear active conductor. The Lyapunov exponents are presented to confirm the hyperchaotic nature of the oscillations of the circuit. The nonlinear conductor is realized with a diode. A negative impedance converter and a linear resistor. The performance of the circuit is investigated by means of numerical integration of the appropriate differential equations.
    Original languageEnglish
    Title of host publicationProceedings on The 2001 IEEE International Symposium on Circuits and Systems
    Volume2
    Publication date2001
    Pages759-762
    ISBN (Print)0-7803-6685-9
    DOIs
    Publication statusPublished - 2001
    Event2001 IEEE International Symposium on Circuits and Systems - Sydney, Australia
    Duration: 6 May 20019 May 2001

    Conference

    Conference2001 IEEE International Symposium on Circuits and Systems
    Country/TerritoryAustralia
    CitySydney
    Period06/05/200109/05/2001

    Bibliographical note

    Copyright: 2000 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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