Wave chaotic behaviour generated by linear systems


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.

Publication DOI: https://doi.org/10.1007/s11082-008-9247-0
Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: The original publication is available at www.springerlink.com
Uncontrolled Keywords: electromagnetic linear problems,transients,chaos
Publication ISSN: 1572-817X
Last Modified: 09 Jan 2024 08:06
Date Deposited: 11 Mar 2019 18:06
Full Text Link: http://www.spri ... 841r55356t48336
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2008-06-01
Authors: Buts, V.A.
Nerukh, A.G.
Ruzhytska, N.N.
Nerukh, Dmitry (ORCID Profile 0000-0001-9005-9919)



Version: Accepted Version

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