Large Rotatory Oscillations of Transversely Isotropic Rods: Spatio-Temporal Symmetry-Breaking Bifurcation

1992 ◽  
Vol 52 (4) ◽  
pp. 1120-1135 ◽  
Author(s):  
Timothy J. Healey
Keyword(s):  
Symmetry Breaking ◽  
Transversely Isotropic ◽  
Spatio Temporal ◽  
Temporal Symmetry ◽  
Symmetry Breaking Bifurcation

scholarly journals Spatio-temporal symmetry breaking in the flow past an oscillating cylinder

2021 ◽  
Vol 918 ◽  
Author(s):  
Puneet S. Matharu ◽  
Andrew L. Hazel ◽  
Matthias Heil
Keyword(s):  
Symmetry Breaking ◽  
Oscillating Cylinder ◽  
Flow Past ◽  
Spatio Temporal ◽  
Temporal Symmetry

Abstract

Amplitude Modulation and Symmetry Breaking Bifurcation in Micro Devices

2012 ◽  
Author(s):  
Z. C. Feng ◽  
Mahmoud Almasri
Keyword(s):  
Symmetry Breaking ◽  
Numerical Simulations ◽  
Amplitude Modulation ◽  
Dynamic Responses ◽  
Symmetric Structure ◽  
Different Types ◽  
Asymmetric Responses ◽  
Symmetric Response ◽  
Symmetry Breaking Bifurcation

Designs of many micro devices take advantage of the symmetry for better performance, immunity to noise, and for simpler analysis. When a symmetric structure is subjected to symmetric forcing, the symmetric response can become unstable leading to asymmetric responses. The occurrence of symmetry breaking bifurcation leads to complicated dynamic responses which often result in less desirable performances. In this paper, we obtain analytical criteria for the onset of symmetry breaking bifurcations. We also conduct numerical simulations to demonstrate different types of asymmetric dynamic responses resulting from the symmetry breaking bifurcation. In particular, we show the occurrence of amplitude modulated motions in such systems.

scholarly journals Disrupting the spatio-temporal symmetry of the electron dynamics in atmospheric pressure plasmas by voltage waveform tailoring

2019 ◽  
Vol 28 (1) ◽  
pp. 01LT01 ◽  
Author(s):  
Andrew R Gibson ◽  
Zoltán Donkó ◽  
Layla Alelyani ◽  
Lena Bischoff ◽  
Gerrit Hübner ◽  
...  
Keyword(s):  
Atmospheric Pressure ◽  
Electron Dynamics ◽  
Voltage Waveform ◽  
Atmospheric Pressure Plasmas ◽  
Spatio Temporal ◽  
Temporal Symmetry
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