4 papers
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…
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…
Boolean models coarsely sample continuous dynamics of regulatory networks
Breschine Cummins, Marcio Gameiro, Tomáš Gedeon +2
Boolean models are widely used to characterize the dynamics of gene regulatory networks. However, their coarse state discretization limits their ability to capture complex continuo…