Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice

Sergiy Bak

Archivum Mathematicum (2022)

  • Volume: 058, Issue: 1, page 1-13
  • ISSN: 0044-8753

Abstract

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In this paper we obtain results on existence of non-constant periodic traveling waves with arbitrary speed c > 0 in infinite system of linearly coupled nonlinear oscillators on a two-dimensional lattice. Sufficient conditions for the existence of such solutions are obtained with the aid of critical point method and linking theorem.

How to cite

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Bak, Sergiy. "Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice." Archivum Mathematicum 058.1 (2022): 1-13. <http://eudml.org/doc/297780>.

@article{Bak2022,
abstract = {In this paper we obtain results on existence of non-constant periodic traveling waves with arbitrary speed $c>0$ in infinite system of linearly coupled nonlinear oscillators on a two-dimensional lattice. Sufficient conditions for the existence of such solutions are obtained with the aid of critical point method and linking theorem.},
author = {Bak, Sergiy},
journal = {Archivum Mathematicum},
keywords = {nonlinear oscillators; 2D-lattice; traveling waves; critical points; linking theorem},
language = {eng},
number = {1},
pages = {1-13},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice},
url = {http://eudml.org/doc/297780},
volume = {058},
year = {2022},
}

TY - JOUR
AU - Bak, Sergiy
TI - Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice
JO - Archivum Mathematicum
PY - 2022
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 058
IS - 1
SP - 1
EP - 13
AB - In this paper we obtain results on existence of non-constant periodic traveling waves with arbitrary speed $c>0$ in infinite system of linearly coupled nonlinear oscillators on a two-dimensional lattice. Sufficient conditions for the existence of such solutions are obtained with the aid of critical point method and linking theorem.
LA - eng
KW - nonlinear oscillators; 2D-lattice; traveling waves; critical points; linking theorem
UR - http://eudml.org/doc/297780
ER -

References

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