Detecting symmetry breaking bifurcations in the system describing the dynamics of coupled arrays of Joseph junctions

V. Tchistiakov

doi:10.1016/0167-2789(95)00253-7

Detecting symmetry breaking bifurcations in the system describing the dynamics of coupled arrays of Joseph junctions

V. Tchistiakov

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

Symmetry breaking and symmetry increasing bifurcations in a system of globally coupled Josephson junctions which possesses Sn symmetry have been investigated by constructing a detective for the group Sn, the permutation group of n elements. In addition, with help of this detective several bifurcations are followed numerically in two parameters. An algorithm to obtain a detective for any finite subgroup of O(n) is given.

Original language	Undefined
Pages (from-to)	67-85
Number of pages	9
Journal	Physica D
Volume	91
Issue number	91
DOIs	https://doi.org/10.1016/0167-2789(95)00253-7
Publication status	Published - 1996

Keywords

IR-30273
Detective
Symmetry increasing bifurcation
METIS-140913
Sn symmetry

Access to Document

10.1016/0167-2789(95)00253-7

Tchistiakov96detecting

Cite this

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title = "Detecting symmetry breaking bifurcations in the system describing the dynamics of coupled arrays of Joseph junctions",

abstract = "Symmetry breaking and symmetry increasing bifurcations in a system of globally coupled Josephson junctions which possesses Sn symmetry have been investigated by constructing a detective for the group Sn, the permutation group of n elements. In addition, with help of this detective several bifurcations are followed numerically in two parameters. An algorithm to obtain a detective for any finite subgroup of O(n) is given.",

keywords = "IR-30273, Detective, Symmetry increasing bifurcation, METIS-140913, Sn symmetry",

author = "V. Tchistiakov",

year = "1996",

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AU - Tchistiakov, V.

PY - 1996

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N2 - Symmetry breaking and symmetry increasing bifurcations in a system of globally coupled Josephson junctions which possesses Sn symmetry have been investigated by constructing a detective for the group Sn, the permutation group of n elements. In addition, with help of this detective several bifurcations are followed numerically in two parameters. An algorithm to obtain a detective for any finite subgroup of O(n) is given.

AB - Symmetry breaking and symmetry increasing bifurcations in a system of globally coupled Josephson junctions which possesses Sn symmetry have been investigated by constructing a detective for the group Sn, the permutation group of n elements. In addition, with help of this detective several bifurcations are followed numerically in two parameters. An algorithm to obtain a detective for any finite subgroup of O(n) is given.

KW - IR-30273

KW - Detective

KW - Symmetry increasing bifurcation

KW - METIS-140913

KW - Sn symmetry

U2 - 10.1016/0167-2789(95)00253-7

DO - 10.1016/0167-2789(95)00253-7

M3 - Article

VL - 91

SP - 67

EP - 85

JO - Physica D

JF - Physica D

SN - 0167-2789

IS - 91

ER -