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Title: Alternating current-driven graphene superlattices: Kinks, dissipative solitons, dynamic chaotization

Abstract

The possibility of the solitary electromagnetic wave formation in graphene superlattice subjected to the electromagnetic radiation is discussed. The chaotic behavior of the electron subsystem in graphene superlattice is studied by Melnikov method. Dynamic chaos of electrons is shown to appear for certain intervals of frequencies of incident electromagnetic radiation. The frequency dependence of the radiation critical amplitude which determines the bound of chaos appearance is investigated. The values of radiation frequency at which the critical amplitude increases indefinitely were found.

Authors:
 [1];  [2];  [1]
  1. Physical Laboratory of Low-Dimensional Systems, Volgograd State Socio-Pedagogical University, V.I. Lenin Avenue, 27, 400066 Volgograd (Russian Federation)
  2. (Russian Federation)
Publication Date:
OSTI Identifier:
22482307
Resource Type:
Journal Article
Journal Name:
Chaos (Woodbury, N. Y.)
Additional Journal Information:
Journal Volume: 25; Journal Issue: 7; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1054-1500
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALTERNATING CURRENT; AMPLITUDES; CHAOS THEORY; ELECTROMAGNETIC RADIATION; ELECTRONS; FREQUENCY DEPENDENCE; GRAPHENE; SOLITONS; SUPERLATTICES

Citation Formats

Kryuchkov, S. V., E-mail: svkruchkov@yandex.ru, Department of Physics, Volgograd State Technical University, V.I. Lenin Avenue, 28, 400005 Volgograd, and Kukhar', E. I., E-mail: eikuhar@yandex.ru. Alternating current-driven graphene superlattices: Kinks, dissipative solitons, dynamic chaotization. United States: N. p., 2015. Web. doi:10.1063/1.4926944.
Kryuchkov, S. V., E-mail: svkruchkov@yandex.ru, Department of Physics, Volgograd State Technical University, V.I. Lenin Avenue, 28, 400005 Volgograd, & Kukhar', E. I., E-mail: eikuhar@yandex.ru. Alternating current-driven graphene superlattices: Kinks, dissipative solitons, dynamic chaotization. United States. https://doi.org/10.1063/1.4926944
Kryuchkov, S. V., E-mail: svkruchkov@yandex.ru, Department of Physics, Volgograd State Technical University, V.I. Lenin Avenue, 28, 400005 Volgograd, and Kukhar', E. I., E-mail: eikuhar@yandex.ru. 2015. "Alternating current-driven graphene superlattices: Kinks, dissipative solitons, dynamic chaotization". United States. https://doi.org/10.1063/1.4926944.
@article{osti_22482307,
title = {Alternating current-driven graphene superlattices: Kinks, dissipative solitons, dynamic chaotization},
author = {Kryuchkov, S. V., E-mail: svkruchkov@yandex.ru and Department of Physics, Volgograd State Technical University, V.I. Lenin Avenue, 28, 400005 Volgograd and Kukhar', E. I., E-mail: eikuhar@yandex.ru},
abstractNote = {The possibility of the solitary electromagnetic wave formation in graphene superlattice subjected to the electromagnetic radiation is discussed. The chaotic behavior of the electron subsystem in graphene superlattice is studied by Melnikov method. Dynamic chaos of electrons is shown to appear for certain intervals of frequencies of incident electromagnetic radiation. The frequency dependence of the radiation critical amplitude which determines the bound of chaos appearance is investigated. The values of radiation frequency at which the critical amplitude increases indefinitely were found.},
doi = {10.1063/1.4926944},
url = {https://www.osti.gov/biblio/22482307}, journal = {Chaos (Woodbury, N. Y.)},
issn = {1054-1500},
number = 7,
volume = 25,
place = {United States},
year = {Wed Jul 15 00:00:00 EDT 2015},
month = {Wed Jul 15 00:00:00 EDT 2015}
}