1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.DS2024
Sensitivities in complex-time flows: phase transitions, Hamiltonian structure and differential geometry
Dirk Lebiedz, Johannes Poppe
Reminiscent of physical phase transitions separatrices divide the phase space of dynamical systems with multiple equilibria into regions of distinct flow behavior and asymptotics.…
math.DG2019★ 1 cited
Stretching-Based Diagnostics in a Differential Geometry Setting
Johannes Poppe, Dirk Lebiedz
The identification of slow invariant manifolds (SIMs) is an essential part in model-order reduction for reactive systems. The mathematical definition of the SIM by Fenichel can be…
math.DS2019
Analytic continuation and differential geometry views on slow manifolds and separatrices
Dirk Lebiedz, Jörn Dietrich, Marcus Heitel +1
We start from a mechano-chemical analogy considering the time evolution of a homogeneous chemical reaction modeled by a nonlinear dynamical system (ordinary differential equation,…