Spatial Symmetry Breaking Determines Spiral Wave Chirality

2014 ◽  
Vol 113 (15) ◽  
Author(s):  
Thomas Quail ◽  
Alvin Shrier ◽  
Leon Glass
Keyword(s):  
Symmetry Breaking ◽  
Spiral Wave ◽  
Spatial Symmetry

Spontaneous spatial symmetry breaking in passive nonlinear optical feedback systems

1988 ◽  
Vol 38 (4) ◽  
pp. 2005-2010 ◽  
Author(s):  
A. Ouarzeddini ◽  
H. Adachihara ◽  
J. V. Moloney
Keyword(s):  
Symmetry Breaking ◽  
Nonlinear Optical ◽  
Optical Feedback ◽  
Feedback Systems ◽  
Spatial Symmetry

Spatial symmetry breaking in rapidly rotating convective spherical shells

1995 ◽  
Vol 22 (10) ◽  
pp. 1265-1268 ◽  
Author(s):  
Keke Zhang ◽  
Gerald Schubert
Keyword(s):  
Symmetry Breaking ◽  
Spherical Shells ◽  
Spatial Symmetry

SPONTANEOUS SPATIAL SYMMETRY BREAKING IN PASSIVE OPTICAL FEEDBACK SYSTEMS

1988 ◽  
Vol 49 (C2) ◽  
pp. C2-455-C2-458 ◽  
Author(s):  
A. OUARZEDDINI ◽  
H. ADACHIHARA ◽  
J. V. MOLONEY ◽  
D. W. McLAUGHLIN ◽  
A. C. NEWELL
Keyword(s):  
Symmetry Breaking ◽  
Optical Feedback ◽  
Feedback Systems ◽  
Spatial Symmetry

scholarly journals Automating Symmetry-Breaking Calculations

2004 ◽  
Vol 7 ◽  
pp. 101-119 ◽  
Author(s):  
P. C. Matthews
Keyword(s):  
Group Theory ◽  
Symmetry Breaking ◽  
Symmetry Group ◽  
Irreducible Representations ◽  
Symmetry Groups ◽  
Periodic Patterns ◽  
Alternating Groups ◽  
Spatial Symmetry

AbstractThe process of classifying possible symmetry-breaking bifurcations requires a computation involving the subgroups and irreducible representations of the original symmetry group. It is shown how this calculation can be automated using a group theory package such as GAP. This enables a number of new results to be obtained for larger symmetry groups, where manual computation is impractical. Examples of symmetric and alternating groups are given, and the method is also applied to the spatial symmetry-breaking of periodic patterns observed in experiments.

Experimental observation of bound states in the continuum generated by spatial symmetry breaking

2021 ◽  
Author(s):  
Taiki Yoda ◽  
Yuto Moritake ◽  
Masaaki Ono ◽  
Eiichi Kuramochi ◽  
Masaya Notomi
Keyword(s):  
Symmetry Breaking ◽  
Experimental Observation ◽  
Bound States ◽  
Spatial Symmetry ◽  
The Continuum

Chimera states in spatiotemporal systems: Theory and Applications

2016 ◽  
Vol 30 (07) ◽  
pp. 1630002 ◽  
Author(s):  
Nan Yao ◽  
Zhigang Zheng
Keyword(s):  
Symmetry Breaking ◽  
Systems Theory ◽  
Collective Behavior ◽  
Spiral Wave ◽  
Spatiotemporal Patterns ◽  
Model Systems ◽  
Chimera States ◽  
The Stability ◽  
Self Consistency ◽  
Multiple Cluster

In this paper, we propose a retrospective and summary on recent studies of chimera states. Chimera states demonstrate striking inhomogeneous spatiotemporal patterns emerging in homogeneous systems through unexpected spontaneous symmetry breaking, where the consequent spatiotemporal patterns are composed of both coherence and incoherence domains, respectively characterized by the synchronized and desynchronized motions of oscillators. Since the discovery of chimera states by Kuramoto and others, this striking collective behavior has attracted a great deal of research interest in the community of physics and related interdisciplinary fields from both theoretical and experimental viewpoints. In recent works exploring chimera states, rich phenomena such as the spiral wave chimera, multiple cluster chimera, amplitude chimera were observed from various types of model systems. Theoretical framework by means of self-consistency approach and Ott–Antonsen approach were proposed for further understanding to this symmetry-breaking-induced behavior. The stability and robustness of chimera states were also discussed. More importantly, experiments ranging from optical, chemical to mechanical designs successfully approve the existence of chimera states.

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