Dynamics of generalized PT-symmetric dimers with time-periodic gain–loss
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F15%3APU114314" target="_blank" >RIV/00216305:26220/15:PU114314 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s11071-015-1996-2" target="_blank" >http://dx.doi.org/10.1007/s11071-015-1996-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11071-015-1996-2" target="_blank" >10.1007/s11071-015-1996-2</a>
Alternative languages
Result language
angličtina
Original language name
Dynamics of generalized PT-symmetric dimers with time-periodic gain–loss
Original language description
A parity-time (PT)-symmetric system with periodically varying-in-time gain and loss modeled by two coupled Schrödinger equations (dimer) is studied. It is shown that the problem can be reduced to a perturbed pendulum-like equation. This is done by finding two constants ofmotion. Firstly, a generalized problem using Melnikov-type analysis and topological degree arguments is studied for showing the existence of periodic (libration), shift- periodic (rotation), and chaotic solutions. Then these general results are applied to the PT-symmetric dimer. It is interestingly shown that if a sufficient condition is satisfied, then rotation modes, which do not exist in the dimer with constant gain-loss, will persist. An approximate threshold for PT-broken phase corresponding to the disappearance of bounded solutions is also presented. Numerical study is presented accompanying the analytical results.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
NONLINEAR DYNAMICS
ISSN
0924-090X
e-ISSN
1573-269X
Volume of the periodical
81
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
19
Pages from-to
353-371
UT code for WoS article
000355919700028
EID of the result in the Scopus database
2-s2.0-84930760671