Meandering Limits

Spiral Meandering

The complex, so called meandering, dynamics of spiral waves in excitable media is examined from the point of view of bifurcation theory. A computational bifurcation analysis is made of spiral dynamics. It is shown that spiral meandering is organized in parameter space around a codimension-two point where a Hopf bifurcation from rotating waves interacts with symmetries on the plane. A simple mod...

Interdisciplinary Meandering in Science

I was a graduate student in mathematics at Princeton immediately following World War II, 1945–1947. In those days, with veterans of the war inundating universities, there was no option but to earn a Ph.D. within two years. My thesis research was in functional analysis, an area of abstract mathematics. My mentor was Professor S. Bochner, a distinguished contributor to harmonic analysis. My class...

Meandering linear pruritic lesion.

River meandering dynamics.

The Ikeda, Parker, and Sawai river meandering model is reexamined using a physical approach employing an explicit equation of motion. For periodic river shapes as seen from above, a cross-stream surface elevation gradient creates a velocity shear that is responsible for the decay of small-wavelength meander bends, whereas secondary currents in the plane perpendicular to the downstream direction...

The statistical mechanics of meandering

2014 We present a simple mathematical model to describe the statistical properties of the meandering of narrow streams on clean and smooth substrates. The model is shown to contain three different regimes, depending on the flow rate : (i) at low rates, the stream path is a timeindependent random walk ; (ii) for intermediate flow rates, static meanders appear. The onset of meandering is found to...