2 papers
math.DS2026
Realizing Saddle-Node Bifurcations from Finite Data
Konstantin Mischaikow, Aakash Parikh
Given a finite set of data generated by an unknown ordinary differential equation it is impossible to exactly determine the associated vector field, and hence, bifurcation theory t…
math.DS2024
Cycling Signatures: Identifying Cycling Motions in Time Series using Algebraic Topology
Ulrich Bauer, David Hien, Oliver Junge +1
Recurrence is a fundamental characteristic of dynamical systems with complicated behavior. Understanding the inner structure of recurrence is challenging, especially if the system…