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Pattern Formation in a Parametrically-Excited P.D.E.
Pattern Formation Parametrically-Excited P.D.E.
2015/8/27
By varying the parameters c and δ we obtain bifurcation curves which divide the cδ-plane into more than forty regions,each containing a distinct slow flow. Individual regions are found to differ from ...
Opto-Mechanical Pattern Formation in Cold Atoms
Opto-Mechanical Pattern Formation Cold Atoms Pattern Formation and Solitons
2012/4/27
Transverse pattern formation in an optical cavity containing a cloud of cold two-level atoms is discussed. We show that density modulation becomes the dominant mechanism as the atomic temperature is r...
Competitively Coupled Maps and Spatial Pattern Formation
Competitively Coupled Maps Spatial Pattern Formation
2012/4/26
Spatial pattern formation is a key feature of many natural systems in physics, chemistry and biology. The essential theoretical issue in understanding pattern formation is to explain how a spatially h...
MD-Predicted Phase diagrams for Pattern Formation due to Ion Irradiation
MD-Predicted Phase diagrams Pattern Formation Ion Irradiation
2011/3/3
Energetic particle irradiation of solids can cause surface ultra-smoothening 1, selforganized
nanoscale pattern formation 2, or degradation of the structural integrity of nuclear reactor components 3...
Fluid-induced pattern-formation in 3D photonic crystals with spatially varying surface functionalization
3D photonic spatially varying surface functionalization
2010/12/28
We introduce a 3D porous photonic crystal whose inner surfaces are chemically functionalized in arbitrary spatial patterns with micro-scale resolution. We use this platform to demonstrate pattern-form...
State-of-the-art review of cellular automata, cellular automata for partial differential equations, differential equations for cellular automata and pattern formation in biology and engineering.
Switch and template pattern formation in a discrete reaction diffusion system inspired by the Drosophila eye
Switch template pattern formation discrete reaction diffusion Drosophila eye
2010/4/1
We examine a spatially discrete reaction diffusion model based on the interactions that create a periodic pattern in the Drosophila eye imaginal disc. This model is capable of generating a regular hex...