Bifurcations of the superconductor–ferromagnet–superconductor
φ0 Josephson junction

J 2025

Bifurcations of the superconductor–ferromagnet–superconductor φ0 Josephson junction

ECLEROVÁ, Veronika a André E. BOTHA

Základní údaje

Originální název

Bifurcations of the superconductor–ferromagnet–superconductor φ0 Josephson junction

Autoři

ECLEROVÁ, Veronika a André E. BOTHA

Vydání

Communications in Nonlinear Science and Numerical Simulation, Elsevier B.V. 2025, 1007-5704

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10100 1.1 Mathematics

Stát vydavatele

Nizozemské království

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 3.800 v roce 2024

Označené pro přenos do RIV

Ano

Organizační jednotka

Přírodovědecká fakulta

Klíčová slova anglicky

Anomalous Josephson junctions; Bifurcation analysis; Chenciner bifurcation; Neimark–Sacker bifurcation; Numerical continuation; Period-doubling bifurcation

Štítky

14311010, rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 29. 4. 2025 15:07, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

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.

Citovat

ECLEROVÁ, Veronika a André E. BOTHA. Bifurcations of the superconductor–ferromagnet–superconductor φ0 Josephson junction. Communications in Nonlinear Science and Numerical Simulation. Elsevier B.V., 2025, roč. 146, July, s. 1-13. ISSN 1007-5704. Dostupné z: https://doi.org/10.1016/j.cnsns.2025.108777.

@article{2488518,
   author = {Eclerová, Veronika and Botha, André E.},
   article_number = {July},
   doi = {https://doi.org/10.1016/j.cnsns.2025.108777},
   keywords = {Anomalous Josephson junctions; Bifurcation analysis; Chenciner bifurcation; Neimark–Sacker bifurcation; Numerical continuation; Period-doubling bifurcation},
   language = {eng},
   issn = {1007-5704},
   journal = {Communications in Nonlinear Science and Numerical Simulation},
   title = {Bifurcations of the superconductor–ferromagnet–superconductor φ0 Josephson junction},
   url = {https://doi.org/10.1016/j.cnsns.2025.108777},
   volume = {146},
   year = {2025}
}

TY  - JOUR
ID  - 2488518
AU  - Eclerová, Veronika - Botha, André E.
PY  - 2025
TI  - Bifurcations of the superconductor–ferromagnet–superconductor φ0 Josephson junction
JF  - Communications in Nonlinear Science and Numerical Simulation
VL  - 146
IS  - July
SP  - 1-13
EP  - 1-13
PB  - Elsevier B.V.
SN  - 10075704
KW  - Anomalous Josephson junctions
KW  - Bifurcation analysis
KW  - Chenciner bifurcation
KW  - Neimark–Sacker bifurcation
KW  - Numerical continuation
KW  - Period-doubling bifurcation
UR  - https://doi.org/10.1016/j.cnsns.2025.108777
N2  - 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.
ER  -

ECLEROVÁ, Veronika a André E. BOTHA. Bifurcations of the superconductor–ferromagnet–superconductor φ0 Josephson junction. \textit{Communications in Nonlinear Science and Numerical Simulation}. Elsevier B.V., 2025, roč.~146, July, s.~1-13. ISSN~1007-5704. Dostupné z: https://doi.org/10.1016/j.cnsns.2025.108777.

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