2 papers
math.DS2026
Bruno ideal and the variety of centers for singular germs of vector fields
MarÃa MartÃn-Vega, Daniel Panazzolo
Given a logarithmic analytic vector field , we consider the formal ideal defined by the collinearity locus of the semi-simple and nilpotent components of~$\…
math.DS2026
Piecewise Smooth Dynamical Systems Regularized by Convolution
Claudio A. Buzzi, Daniel Panazzolo, Paulo R. da Silva
We present a general regularization procedure for piecewise smooth vector fields whose discontinuity locus is a variety of normal crossings type. We show that such regularization c…