64 citations · 387 across the 46 of their papers we have counts for
Showing 2022 · nlin.CDShow all
2 papers · 2 filters
nlin.CD2022★ 2 cited
Unstable dimension variability, heterodimensional cycles, and blenders in the border-collision normal form
P. A. Glendinning, D. J. W. Simpson
Chaotic attractors commonly contain periodic solutions with unstable manifolds of different dimensions. This allows for a zoo of dynamical phenomena not possible for hyperbolic att…
nlin.CD2022★ 4 cited
A synopsis of the non-invertible, two-dimensional, border-collision normal form with applications to power converters
Hammed Olawale Fatoyinbo, David J. W. Simpson
The border-collision normal form is a canonical form for two-dimensional, continuous maps comprised of two affine pieces. In this paper we provide a guide to the dynamics of this f…