Patterned alignment of liquid crystals by µ-rubbingThin polyimide layers have been patterned via a -rubbing process that can induce the homogeneous planar alignment or erase the previous alignment history of liquid crystals (LCs) that it comes into contact with....
Solution of n-phase ℝ-linear conjugation problemWe consider the problem of the distribution of power fields of various physical nature in a piecewise homogeneous planar medium consisting of several homogeneous components separated by branches of confocal hyperbolas....
Bifurcation diagrams for hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields...UID/MAT/04459/2013Following the work done in [8] we provide the bifurcation diagrams for the global phase portraits in the Poincaré disk of all Hamiltonian nilpotent centers of linear plus cubic homogeneous planar polynomial vector fields
Minimal system of generators and syzygies of centro-affine invariants and covariants for homogeneous planar cubic differential systems with free terms and linear partA minimal system of generators of the algebra of the centro-affine covariantsfor homogeneous planar cubic differential systems with linear part is known.With...
