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rdf:type
lifeskim:mentions
pubmed:issue
6 Pt 2
pubmed:dateCreated
2006-2-20
pubmed:abstractText
In electrohydrodynamic convection of nematics, excitation with sine or square waves of period T leads to convection structures in which the charge density, director, and velocity fields perform T-periodic oscillations. Nonconventional waveforms such as sawtooth excitation can lead to patterns with T-periodic as well as T-antiperiodic (subharmonic) dynamics. We consider different classes of excitation fields E(t): such with antisymmetry in the two half periods E(t)=-E(t+T/2), such with time inversion symmetry E(t)=E(-t), and dichotomous waveforms (two alternating values E1, E2) and discuss their influence on the pattern dynamics. From the analysis of linear differential equations that describe the system near threshold, we show analytically that each of these conditions inhibits subharmonic dynamics at onset. Numerical and experimental support of these predictions is provided.
pubmed:language
eng
pubmed:journal
pubmed:status
PubMed-not-MEDLINE
pubmed:month
Dec
pubmed:issn
1539-3755
pubmed:author
pubmed:issnType
Print
pubmed:volume
72
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
066218
pubmed:year
2005
pubmed:articleTitle
Fundamental relations between the symmetry of excitation and the existence of spatiotemporal subharmonic structures in a pattern-forming dynamic system.
pubmed:affiliation
Institut für Experimentelle Physik, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, D-39106 Magdeburg, Germany.
pubmed:publicationType
Journal Article