2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.DS2021
Search for Invariant Sets of the Generalized Tent Map
Kimberly Ayers, Dmitry Dmitrishin, Ami Radunskaya +2
This paper describes a predictive control method to search for unstable periodic orbits of the generalized tent map. The invariant set containing periodic orbits is a repelling set…
math.DS2017
(, T )-Chains and Chain Recurrence in Graph Determined Hybrid Dynamical Systems
Kimberly Ayers
This paper examines a continuous time dynamical system that is an extension of a discrete time dynamical system previously examined, and considers this system together in a product…
math.DS2014★ 2 cited
Limit and Morse Sets for Deterministic Hybrid Systems
Kimberly Ayers, Xavier Garcia, Jennifer Kunze +4
The term "hybrid system" refers to a continuous time dynamical system that undergoes Markovian perturbations at discrete time intervals. In this paper, we find that under the right…