3 papers
nlin.PS2020
Phase-Diffusion Equations for the Anisotropic Complex Ginzburg-Landau Equation
Derek Handwerk, Gerhard Dangelmayr, Iuliana Oprea +1
The anisotropic complex Ginzburg-Landau equation (ACGLE) describes slow modulations of patterns in anisotropic spatially extended systems near oscillatory (Hopf) instabilities with…
math.DS2019
Julia and Mandelbrot sets for dynamics over the hyperbolic numbers
Vance Blankers, Tristan Rendfrey, Aaron Shukert +1
Julia and Mandelbrot sets, which characterize bounded orbits in dynamical systems over the complex numbers, are classic examples of fractal sets. We investigate the analogs of thes…
math-ph2016
Informing the structure of complex Hadamard matrix spaces using a flow
Francis C. Motta, Patrick D. Shipman
The defect of a complex Hadamard matrix is an upper bound for the dimension of a continuous Hadamard orbit stemming from . We provide a new interpretation of the defect as t…