Nonlinear Anti-(Parity-Time) Symmetric Dimer

• Tipo: Artigo em Revista Científica Internacional
• Data: 2022

Autores

Rodrigues, AS (Autor) FCUP; Ross, RM (Autor) Outra; Konotop, VV (Autor) Outra; Saxena, A (Autor) Outra; Kevrekidis, PG (Autor) Outra

Revista

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Título: Frontiers in Physics

Vol. 10

ISSN: 2296-424X

Indexação

ISI Web of Knowledge - 0 Citações

Scopus

Outras Informações

ID Authenticus: P-00W-K7F

DOI: 10.3389/fphy.2022.865910

Abstract (EN): In the present work we propose a nonlinear anti- (Formula presented.) -symmetric dimer, that at the linear level has been experimentally created in the realm of electric circuit resonators. We find four families of solutions, the so-called upper and lower branches, both in a symmetric and in an asymmetric (symmetry-broken) form. We unveil analytically and confirm numerically the critical thresholds for the existence of such branches and explore the bifurcations (such as saddle-node ones) that delimit their existence, as well as transcritical ones that lead to their potential exchange of stability. We find that out of the four relevant branches, only one, the upper symmetric branch, corresponds to a spectrally and dynamically robust solution. We subsequently leverage detailed direct numerical computations in order to explore the dynamics of the different states, corroborating our spectral analysis results. Copyright © 2022 Rodrigues, Ross, Konotop, Saxena and Kevrekidis.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 11