Wave chaotic behaviour generated by linear systems

V.A. Buts, A.G. Nerukh, N.N. Ruzhytska, Dmitry Nerukh

    Research output: Contribution to journalArticlepeer-review

    Abstract

    It is shown that regimes with dynamical chaos are inherent not only to nonlinear system but they can be generated by initially linear systems and the requirements for chaotic dynamics and characteristics need further elaboration. Three simplest physical models are considered as examples. In the first, dynamic chaos in the interaction of three linear oscillators is investigated. Analogous process is shown in the second model of electromagnetic wave scattering in a double periodical inhomogeneous medium occupying half-space. The third model is a linear parametric problem for the electromagnetic field in homogeneous dielectric medium which permittivity is modulated in time.
    Original languageEnglish
    Pages (from-to)587-601
    Number of pages15
    JournalOptical and Quantum Electronics
    Volume40
    Issue number8
    DOIs
    Publication statusPublished - 1 Jun 2008

    Bibliographical note

    The original publication is available at www.springerlink.com

    Keywords

    • electromagnetic linear problems
    • transients
    • chaos

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