Dynamics of generalized PT-symmetric dimers with time-periodic gain–loss

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Dynamics of generalized PT-symmetric dimers with time-periodic gain–loss

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Dynamics of generalized PT-symmetric dimers with time-periodic gain–loss

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

NONLINEAR DYNAMICS

ISSN

0924-090X

e-ISSN

1573-269X

Svazek periodika

81

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

19

Strana od-do

353-371

Kód UT WoS článku

000355919700028

EID výsledku v databázi Scopus

2-s2.0-84930760671