Wave chaotic behaviour generated by linear systems

Buts, V.A., Nerukh, A.G., Ruzhytska, N.N. and Nerukh, Dmitry (2008). Wave chaotic behaviour generated by linear systems. Optical and Quantum Electronics, 40 (8), pp. 587-601.

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.

Publication DOI: https://doi.org/10.1007/s11082-008-9247-0
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: The original publication is available at www.springerlink.com
Uncontrolled Keywords: electromagnetic linear problems,transients,chaos
Full Text Link: http://www.springerlink.com/content/2841r55356t48336
Related URLs: http://www.scopus.com/inward/record.url?scp=54849391300&partnerID=8YFLogxK (Scopus URL)
Published Date: 2008-06-01
Authors: Buts, V.A.
Nerukh, A.G.
Ruzhytska, N.N.
Nerukh, Dmitry ( 0000-0001-9005-9919)

Download

[img]

Version: Accepted Version


Export / Share Citation


Statistics

Additional statistics for this record