Colpitts and Chaos

Erik Lindberg

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearchpeer-review

    Abstract

    The chaotic behaviour of the Colpitts oscillator reported by M.P. Kennedy is further investigated by means of PSpice simulations. Chaos is also observed with the default Ebers-Moll BJT transistor model with no memory. When the model is extended with memory and losses chaos do not occur and a 3'rd order limit cycle is found. If the the forward Early voltage parameter is added chaos is observed again. An examination of the eigenvalues of the oscillator with the simple memoryless Ebers-Moll BJT injection model is presented. By adding bulk resistors to the model stable limit cycles of orders 1, 2, 3 and 4 are found.
    Original languageEnglish
    Title of host publicationBEC'96 Proceedings
    Place of PublicationTallinn, Estonia
    PublisherTallinn Technical University
    Publication date1996
    Pages1-491
    Publication statusPublished - 1996
    Event5th Biennial Conference on Electronics and Microsystems Technology - Tallinn, Estonia
    Duration: 7 Oct 199611 Oct 1996

    Conference

    Conference5th Biennial Conference on Electronics and Microsystems Technology
    CountryEstonia
    CityTallinn
    Period07/10/199611/10/1996

    Cite this

    Lindberg, E. (1996). Colpitts and Chaos. In BEC'96 Proceedings (pp. 1-491). Tallinn, Estonia: Tallinn Technical University.
    Lindberg, Erik. / Colpitts and Chaos. BEC'96 Proceedings. Tallinn, Estonia : Tallinn Technical University, 1996. pp. 1-491
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    author = "Erik Lindberg",
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    booktitle = "BEC'96 Proceedings",
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    Lindberg, E 1996, Colpitts and Chaos. in BEC'96 Proceedings. Tallinn Technical University, Tallinn, Estonia, pp. 1-491, 5th Biennial Conference on Electronics and Microsystems Technology, Tallinn, Estonia, 07/10/1996.

    Colpitts and Chaos. / Lindberg, Erik.

    BEC'96 Proceedings. Tallinn, Estonia : Tallinn Technical University, 1996. p. 1-491.

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearchpeer-review

    TY - CHAP

    T1 - Colpitts and Chaos

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    Y1 - 1996

    N2 - The chaotic behaviour of the Colpitts oscillator reported by M.P. Kennedy is further investigated by means of PSpice simulations. Chaos is also observed with the default Ebers-Moll BJT transistor model with no memory. When the model is extended with memory and losses chaos do not occur and a 3'rd order limit cycle is found. If the the forward Early voltage parameter is added chaos is observed again. An examination of the eigenvalues of the oscillator with the simple memoryless Ebers-Moll BJT injection model is presented. By adding bulk resistors to the model stable limit cycles of orders 1, 2, 3 and 4 are found.

    AB - The chaotic behaviour of the Colpitts oscillator reported by M.P. Kennedy is further investigated by means of PSpice simulations. Chaos is also observed with the default Ebers-Moll BJT transistor model with no memory. When the model is extended with memory and losses chaos do not occur and a 3'rd order limit cycle is found. If the the forward Early voltage parameter is added chaos is observed again. An examination of the eigenvalues of the oscillator with the simple memoryless Ebers-Moll BJT injection model is presented. By adding bulk resistors to the model stable limit cycles of orders 1, 2, 3 and 4 are found.

    M3 - Book chapter

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    EP - 491

    BT - BEC'96 Proceedings

    PB - Tallinn Technical University

    CY - Tallinn, Estonia

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    Lindberg E. Colpitts and Chaos. In BEC'96 Proceedings. Tallinn, Estonia: Tallinn Technical University. 1996. p. 1-491