Chaoticons described by nonlocal nonlinear Schrödinger equation

It is shown that the unstable evolutions of the Hermite-Gauss-type stationary solutions for the nonlocal nonlinear Schrödinger equation with the exponential-decay response function can evolve into chaotic states. This new kind of entities are referred to as chaoticons because they exhibit not only c...

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Detalles Bibliográficos
Autores principales: Zhong, Lanhua, Li, Yuqi, Chen, Yong, Hong, Weiyi, Hu, Wei, Guo, Qi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5278363/
https://www.ncbi.nlm.nih.gov/pubmed/28134268
http://dx.doi.org/10.1038/srep41438
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author Zhong, Lanhua
Li, Yuqi
Chen, Yong
Hong, Weiyi
Hu, Wei
Guo, Qi
author_facet Zhong, Lanhua
Li, Yuqi
Chen, Yong
Hong, Weiyi
Hu, Wei
Guo, Qi
author_sort Zhong, Lanhua
collection PubMed
description It is shown that the unstable evolutions of the Hermite-Gauss-type stationary solutions for the nonlocal nonlinear Schrödinger equation with the exponential-decay response function can evolve into chaotic states. This new kind of entities are referred to as chaoticons because they exhibit not only chaotic properties (with positive Lyapunov exponents and spatial decoherence) but also soliton-like properties (with invariant statistic width and interaction of quasi-elastic collisions).
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spelling pubmed-52783632017-02-03 Chaoticons described by nonlocal nonlinear Schrödinger equation Zhong, Lanhua Li, Yuqi Chen, Yong Hong, Weiyi Hu, Wei Guo, Qi Sci Rep Article It is shown that the unstable evolutions of the Hermite-Gauss-type stationary solutions for the nonlocal nonlinear Schrödinger equation with the exponential-decay response function can evolve into chaotic states. This new kind of entities are referred to as chaoticons because they exhibit not only chaotic properties (with positive Lyapunov exponents and spatial decoherence) but also soliton-like properties (with invariant statistic width and interaction of quasi-elastic collisions). Nature Publishing Group 2017-01-30 /pmc/articles/PMC5278363/ /pubmed/28134268 http://dx.doi.org/10.1038/srep41438 Text en Copyright © 2017, The Author(s) http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
spellingShingle Article
Zhong, Lanhua
Li, Yuqi
Chen, Yong
Hong, Weiyi
Hu, Wei
Guo, Qi
Chaoticons described by nonlocal nonlinear Schrödinger equation
title Chaoticons described by nonlocal nonlinear Schrödinger equation
title_full Chaoticons described by nonlocal nonlinear Schrödinger equation
title_fullStr Chaoticons described by nonlocal nonlinear Schrödinger equation
title_full_unstemmed Chaoticons described by nonlocal nonlinear Schrödinger equation
title_short Chaoticons described by nonlocal nonlinear Schrödinger equation
title_sort chaoticons described by nonlocal nonlinear schrödinger equation
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5278363/
https://www.ncbi.nlm.nih.gov/pubmed/28134268
http://dx.doi.org/10.1038/srep41438
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AT hongweiyi chaoticonsdescribedbynonlocalnonlinearschrodingerequation
AT huwei chaoticonsdescribedbynonlocalnonlinearschrodingerequation
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