Formation of asymmetric states of spiral waves in oscillatory media

Igor S. Aranson; Lorenz Kramer; Andreas Weber

doi:10.1103/PhysRevE.48.R9

Formation of asymmetric states of spiral waves in oscillatory media

Igor S. Aranson, Lorenz Kramer, Andreas Weber

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

36 Scopus citations

Abstract

The stability of the symmetric two-spiral state against asymmetric perturbations is investigated. It is shown that the the bound states are always unstable against a spontaneous breaking of symmetry, which leads to the formation of states with one dominant spiral. The existence and the stability of lattices of topological defects are discussed.

Original language	English (US)
Pages (from-to)	R9-R12
Journal	Physical Review E
Volume	48
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.48.R9
State	Published - 1993

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

Access to Document

10.1103/PhysRevE.48.R9

Cite this

@article{bd28aa3aced3495fb82057209219c058,

title = "Formation of asymmetric states of spiral waves in oscillatory media",

abstract = "The stability of the symmetric two-spiral state against asymmetric perturbations is investigated. It is shown that the the bound states are always unstable against a spontaneous breaking of symmetry, which leads to the formation of states with one dominant spiral. The existence and the stability of lattices of topological defects are discussed.",

author = "Aranson, {Igor S.} and Lorenz Kramer and Andreas Weber",

year = "1993",

doi = "10.1103/PhysRevE.48.R9",

language = "English (US)",

volume = "48",

pages = "R9--R12",

journal = "Physical Review E",

issn = "1063-651X",

publisher = "American Physical Society",

number = "1",

}

TY - JOUR

T1 - Formation of asymmetric states of spiral waves in oscillatory media

AU - Aranson, Igor S.

AU - Kramer, Lorenz

AU - Weber, Andreas

PY - 1993

Y1 - 1993

N2 - The stability of the symmetric two-spiral state against asymmetric perturbations is investigated. It is shown that the the bound states are always unstable against a spontaneous breaking of symmetry, which leads to the formation of states with one dominant spiral. The existence and the stability of lattices of topological defects are discussed.

AB - The stability of the symmetric two-spiral state against asymmetric perturbations is investigated. It is shown that the the bound states are always unstable against a spontaneous breaking of symmetry, which leads to the formation of states with one dominant spiral. The existence and the stability of lattices of topological defects are discussed.

UR - http://www.scopus.com/inward/record.url?scp=0001147755&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001147755&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.48.R9

DO - 10.1103/PhysRevE.48.R9

M3 - Article

AN - SCOPUS:0001147755

SN - 1063-651X

VL - 48

SP - R9-R12

JO - Physical Review E

JF - Physical Review E

IS - 1

ER -

Formation of asymmetric states of spiral waves in oscillatory media

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this