Regular patterns appear all around us: from vast geological formations to the ripples in a vibrating coffee cup, from the gaits of trotting horses to tongues of flames, and even in visual hallucinations. The mathematical notion of symmetry is a key to understanding how and why these patterns form. In this lecture Professor Golubitsky will show s...
Creator:
Golubitsky, Martin (University of Houston)
Created:
2007-03-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This talk surveys recent results on phase-shift synchrony for periodic solutions of coupled systems of differential equations. The mathematical questions were motivated by previous work on quadrupedal gaits and help study a generalized model for binocular rivalry.
Creator:
Golubitsky, Martin (The Ohio State University)
Created:
2012-09-06
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We investigate the dynamics of a post-rupture thin liquid filmdewetting on a hydrophobised substrate driven by Van-der-Waals forces.The stability of the three-phase contact line is discussednumerically and asymptotically in the framework of lubrication modelsby taking account of various degrees of slippage. The results are used toexplain some ex...
Creator:
Wagner, Barbara (Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS))
Created:
2008-07-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Motivated by precipitation patterns such as Liesegang rings, we discuss patterns formed in the wake of moving fronts. It turns out that strikingly simple kinetic mechanisms can lead to a plethora of patterns, from simple bands and stripes to spirals and helices. We'll discuss a number of mathematical problems that arise when one tries to predict...
Creator:
Scheel, Arnd (University of Minnesota, Twin Cities)
Created:
2012-09-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
A biochemomechanical oscillator has been developed in which a clamped, pH-sensitive hydrogel membrane containing N-isopropylacrylamide (NIPAAm) and methacrylic acid (MAA) separates a chamber containing glucose oxidase from a pH controlled external medium containing a constant concentration of glucose. This system undergoes oscillations in intrac...
Creator:
Siegel, Ronald Alan (University of Minnesota, Twin Cities)
Created:
2011-05-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Plant pollen are cells which exhibit a plethora of surface patterns, including stripes, hexagons, "foam-like" ridges, and arrangements of spikes. The spherical shape of the cells ensures that these various patterns have defects. We study the development of these patterns and conjecture that the diversity of the observed patterns, and their repro...
Creator:
Lavrentovich, Maxim (University of Tennessee)
Created:
2018-01-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
