50 citations · 53 across the 13 of their papers we have counts for
4 papers · 1 filter
Computation of Attractor Lattices for a Class of Hybrid Systems
William Kalies, Bernardo Rivas, Tony Wehbe
We study the attractor lattice of a class of hybrid dynamical systems on compact metric spaces. Under the trapping guard condition, we prove that hybrid attractors form a bounded d…
Characterizing High-dimensional Dynamics by Combinatorial-Topological Methods on a Latent Space
Patrick Bailon, Marcio Gameiro, Brittany Gelb +5
Combinatorial-topological methods for characterizing dynamics are rigorous, generalizable, computable, and they only require approximations, but the dimension of the phase space is…
Compositionality of Global Dynamics in Product and Skew-Product Systems
William D. Kalies, Tony Wehbe
We study the compositionality of global dynamics through attractor lattices and order structures of recurrent dynamics in product and skew-product systems using Conley theory. For…
Conley Index Theory for Hybrid Systems
Bernardo Rivas, William Kalies
We define a homological Conley index for a class of hybrid dynamical systems. This is achieved by factoring through the hybrid suspension semiflow, which views a class of hybrid dy…