Bifurcations of the superconductor–ferromagnet–superconductor φ0 Josephson junction

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F25%3A00140922" target="_blank" >RIV/00216224:14310/25:00140922 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.cnsns.2025.108777" target="_blank" >https://doi.org/10.1016/j.cnsns.2025.108777</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cnsns.2025.108777" target="_blank" >10.1016/j.cnsns.2025.108777</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Bifurcations of the superconductor–ferromagnet–superconductor φ0 Josephson junction

Popis výsledku v původním jazyce

A general method is presented to study the bifurcations that occur in models of anomalous φ0 Josephson junctions. To demonstrate the method, a bifurcation analysis is made of the superconductor–ferromagnet–superconductor φ0 Josephson junction, in which the Josephson to magnetic energy ratio and the direct current bias are used as the two control parameters. The recently developed embedding technique facilitates the use of standard numerical continuation techniques for the analysis. It reveals that the stability limit can be disrupted through either a Neimark–Sacker or period-doubling bifurcation. The corresponding one-parameter bifurcation manifolds delineate the regions in which further destabilisation occurs, finally leading to chaos. Furthermore, it is shown that the Floquet multipliers along the Neimark–Sacker bifurcation curve signal the synchronisation on the torus. Bi-stability also occurs in the system and is shown to originate from the generalised period-doubling and Chenciner bifurcations. The identification of regions in the parameter space where bi-stability occurs is important for applications which exploit such bi-stability to achieve controlled reorientation of the magnetisation and/or the switching from one voltage state to another.

Název v anglickém jazyce

Bifurcations of the superconductor–ferromagnet–superconductor φ0 Josephson junction

Popis výsledku anglicky

A general method is presented to study the bifurcations that occur in models of anomalous φ0 Josephson junctions. To demonstrate the method, a bifurcation analysis is made of the superconductor–ferromagnet–superconductor φ0 Josephson junction, in which the Josephson to magnetic energy ratio and the direct current bias are used as the two control parameters. The recently developed embedding technique facilitates the use of standard numerical continuation techniques for the analysis. It reveals that the stability limit can be disrupted through either a Neimark–Sacker or period-doubling bifurcation. The corresponding one-parameter bifurcation manifolds delineate the regions in which further destabilisation occurs, finally leading to chaos. Furthermore, it is shown that the Floquet multipliers along the Neimark–Sacker bifurcation curve signal the synchronisation on the torus. Bi-stability also occurs in the system and is shown to originate from the generalised period-doubling and Chenciner bifurcations. The identification of regions in the parameter space where bi-stability occurs is important for applications which exploit such bi-stability to achieve controlled reorientation of the magnetisation and/or the switching from one voltage state to another.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Communications in Nonlinear Science and Numerical Simulation

ISSN

1007-5704

e-ISSN

1878-7274

Svazek periodika

146

Číslo periodika v rámci svazku

July

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

13

Strana od-do

1-13

Kód UT WoS článku

001460191800001

EID výsledku v databázi Scopus

2-s2.0-105000902283