Localized Wave Structures in Nonequilibrium Media

Vyacheslav A. Danylenko; Sergey I. Skuratovskiy

doi:10.1615/JAutomatInfScien.v44.i11.60

Journal of Automation and Information Sciences

Editor-in-Chief: Arkadiy A. Chikriy (open in a new tab)

Associate Editors: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

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Localized Wave Structures in Nonequilibrium Media

Volume 44, Issue 11, 2012, pp. 70-80

DOI: 10.1615/JAutomatInfScien.v44.i11.60

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Vyacheslav A. Danylenko
S.I. Subbotin Institute of Geophysics of the National Academy of Sciences of Ukraine, Kiev

Sergey I. Skuratovskiy
O.Ya. Usikov Institute for Radio Physics and Electronics, National Academy of Sciences of Ukraine, 12 Academician Proskura St., Kharkiv 61085, Ukraine

ABSTRACT

We investigate the wave modes to a mathematical model for nonequilibrium medium. This model is written in the form of one-dimensional system of hydrodynamic type with the nonlocal dynamical equation of state. Using the methods of qualitative analysis it is shown that the three-dimensional phase space of the dynamical system describing the wave solutions of the model contains limit cycles of different multiplicity, heteroclinic and homoclinic loops as well as chaotic attractors.

KEY WORDS: wave modes, one-dimensional system, three-dimensional phase state, wave solution, chaotic attractors.

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