Sources and sinks separating domains of left- and right-traveling waves: Experiment versus amplitude equations
arXiv:patt-sol/9612003 · doi:10.1103/PhysRevE.56.R1306
Abstract
In many pattern forming systems that exhibit traveling waves, sources and sinks occur which separate patches of oppositely traveling waves. We show that simple qualitative features of their dynamics can be compared to predictions from coupled amplitude equations. In heated wire convection experiments, we find a discrepancy between the observed multiplicity of sources and theoretical predictions. The expression for the observed motion of sinks is incompatible with any amplitude equation description.
4 pages, RevTeX, 3 figure
Cited by in corpus (9)
- The World of the Complex Ginzburg-Landau Equation
- Sources, sinks and wavenumber selection in coupled CGL equations and experimental implications for counter-propagating wave systems
- The dynamics of vortex lines in the three-dimensional complex Ginzburg-Landau equation: instability, stretching, entanglement, and helices
- Nonlinear dynamics of waves and modulated waves in 1D thermocapillary flows. I: General presentation and periodic solutions
- An experimental route to spatiotemporal chaos in an extended 1D oscillators array
- Subcritical instabilities in a convective fluid layer under a quasi-1D heating
- Traveling Wavetrains in the Complex Cubic-Quintic Ginzburg-Landau Equation
- Two-dimensional structures in the quintic Ginzburg-Landau equation
- Pulses and Snakes in Ginzburg--Landau Equation