Absence of continuous symmetry breaking in a one-dimensional n?2 model

1981 ◽  
Vol 26 (2) ◽  
pp. 307-311 ◽  
Author(s):  
Barry Simon
Keyword(s):  
Symmetry Breaking ◽  
Continuous Symmetry ◽  
One Dimensional

1D Mn(III) Coordination Polymers Exhibiting Chiral Symmetry Breaking and Weak Ferromagnetism

2021 ◽  
Author(s):  
Aoi Hara ◽  
Sotaro Kusumoto ◽  
Yoshihiro Sekine ◽  
Jack Harrowfield ◽  
Yang Kim ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Coordination Polymers ◽  
Chiral Symmetry Breaking ◽  
Weak Ferromagnetism ◽  
Chiral Ligands ◽  
One Dimensional

Mn(III) complexes with the non-chiral ligands, (E)-N-(2-((2-aminobenzylidene)amino)-2-methylpropyl)-5-X-2-hydroxybenzamide (HLX, X = H, Cl, Br, and I), crystallise as chiral conglomerates containing amide oxygen-bridged one-dimensional coordination polymers that exhibit weak ferromagnetism. The...

Phase Transitions and Continuous Symmetry Breaking

1976 ◽  
Vol 36 (14) ◽  
pp. 804-806 ◽  
Author(s):  
J. Fröhlich ◽  
B. Simon ◽  
T. Spencer
Keyword(s):  
Phase Transitions ◽  
Symmetry Breaking ◽  
Continuous Symmetry

scholarly journals 300 nm bandwidth adiabatic SOI polarization splitter-rotators exploiting continuous symmetry breaking

2015 ◽  
Vol 23 (15) ◽  
pp. 19261 ◽  
Author(s):  
Luciano Socci ◽  
Vito Sorianello ◽  
Marco Romagnoli
Keyword(s):  
Symmetry Breaking ◽  
Polarization Splitter ◽  
Continuous Symmetry

PERIOD-DOUBLING SCENARIO WITHOUT FLIP BIFURCATIONS IN A ONE-DIMENSIONAL MAP

2005 ◽  
Vol 15 (04) ◽  
pp. 1267-1284 ◽  
Author(s):  
V. AVRUTIN ◽  
M. SCHANZ
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Symmetry Breaking ◽  
Period Doubling ◽  
Pitchfork Bifurcation ◽  
Period Doubling Bifurcation ◽  
Coexisting Attractors ◽  
One Dimensional ◽  
Poincaré Return Map ◽  
Smooth Dynamical System

In this work a one-dimensional piecewise-smooth dynamical system, representing a Poincaré return map for dynamical systems of the Lorenz type, is investigated. The system shows a bifurcation scenario similar to the classical period-doubling one, but which is influenced by so-called border collision phenomena and denoted as border collision period-doubling bifurcation scenario. This scenario is formed by a sequence of pairs of bifurcations, whereby each pair consists of a border collision bifurcation and a pitchfork bifurcation. The mechanism leading to this scenario and its characteristic properties, like symmetry-breaking and symmetry-recovering as well as emergence of coexisting attractors, are investigated.

Symmetry-breaking bifurcation for the one-dimensional Hénon equation

2019 ◽  
Vol 21 (01) ◽  
pp. 1750097
Author(s):  
Inbo Sim ◽  
Satoshi Tanaka
Keyword(s):  
Symmetry Breaking ◽  
Bifurcation Point ◽  
Global Bifurcation ◽  
One Dimensional ◽  
Bifurcation Points ◽  
Connected Set ◽  
Hénon Equation ◽  
The One ◽  
Symmetry Breaking Bifurcation

We show the existence of a symmetry-breaking bifurcation point for the one-dimensional Hénon equation [Formula: see text] where [Formula: see text] and [Formula: see text]. Moreover, employing a variant of Rabinowitz’s global bifurcation, we obtain the unbounded connected set (the first of the alternatives about Rabinowitz’s global bifurcation), which emanates from the symmetry-breaking bifurcation point. Finally, we give an example of a bounded branch connecting two symmetry-breaking bifurcation points (the second of the alternatives about Rabinowitz’s global bifurcation) for the problem [Formula: see text] where [Formula: see text] is a specified continuous parametrization function.

Symmetry-breaking bifurcations in one-dimensional excitable media

1992 ◽  
Vol 46 (8) ◽  
pp. 5054-5062 ◽  
Author(s):  
Mark Kness ◽  
Laurette S. Tuckerman ◽  
Dwight Barkley
Keyword(s):  
Symmetry Breaking ◽  
Excitable Media ◽  
One Dimensional
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