Four-wave resonance in electrohydrodynamic convection
- 1 August 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 42 (4) , 2096-2100
- https://doi.org/10.1103/physreva.42.2096
Abstract
The supercritical Hopf bifurcation to oblique traveling rolls in nematic liquid crystals leads to a complex spatiotemporal state. We present an experimental study of the bifurcation scenario in which a secondary bifurcation to a coherent steady state occurs at higher values of the control parameter. Temporal resonant modulation of the driving force can stabilize the four amplitude modes appearing after the first bifurcation, and their superposition can lead to a standing bimodal pattern.Keywords
This publication has 12 references indexed in Scilit:
- Traveling Waves and Defect-Initiated Turbulence in Electroconvecting NematicsPhysical Review Letters, 1989
- Temporal Modulation of Traveling WavesPhysical Review Letters, 1988
- External Forcing of Spatio-Temporal PatternsEurophysics Letters, 1988
- Time-Modulated Oscillatory ConvectionPhysical Review Letters, 1988
- Localized, Time-Dependent State in the Convection of a Nematic Liquid CrystalPhysical Review Letters, 1988
- On electrically driven pattern-forming instabilities in planar nematicsJournal de Physique, 1988
- Oblique Roll Instability in an Electroconvective Anisotropic FluidPhysical Review Letters, 1986
- Nonlinear analysis of spatial structures in two-dimensional anisotropic pattern forming systemsZeitschrift für Physik B Condensed Matter, 1986
- Oblique-roll electrohydrodynamic instability in nematicsPhysical Review Letters, 1985
- Analogy Between Hydrodynamic Instabilities in Nematic Liquid Crystal and Classical FluidMolecular Crystals and Liquid Crystals, 1977