28 citations · 73 across the 20 of their papers we have counts for
21 papers
Benchmarking of Flatness-based Control of the Heat Equation
Stephan Scholz, Lothar Berger, Dirk Lebiedz
Flatness-based control design is a well established method to generate open-loop control signals. Several articles discuss the application of flatness-based control design of (reac…
Approximating normally attracting invariant manifolds using trajectory-based optimization
Jörn Dietrich, Dirk Lebiedz
The numerical simulation of realistic reactive flows is a major challenge due to the stiffness and high dimension of the corresponding kinetic differential equations. Manifold-base…
Generalized Liénard systems, singularly perturbed systems, Flow Curvature Method
Jean-Marc Ginoux, Dirk Lebiedz, Jaume Llibre
In his famous book entitled \textit{Theory of Oscillations}, Nicolas Minorsky wrote: "\textit{each time the system absorbs energy the curvature of its trajectory decreases} and \te…
Holomorphic Hamiltonian -Flow and Riemann Zeros
Dirk Lebiedz
With a view on the formal analogy between Riemann-von-Mangoldts explicit formula and semiclassical quantum mechanics in terms of the Gutzwiller trace formula we construct a complex…
A Spectral View on Slow Invariant Manifolds in Complex-Time Dynamical Systems
Jörn Dietrich, Dirk Lebiedz
Many real-analytic flows, e.g. in chemical kinetics, share a multiple time scale spectral structure. The trajectories of the corresponding dynamical systems are observed to bundle…
On Analytical and Topological Properties of Separatrices in 1-D Holomorphic Dynamical Systems and Complex-Time Newton Flows
Marcus Heitel, Dirk Lebiedz
Separatrices divide the phase space of some holomorphic dynamical systems into separate basins of attraction or 'stability regions' for distinct fixed points. 'Bundling' (high dens…