Zobrazeno 1 - 10
of 345
pro vyhledávání: '"P. Lebiedz"'
Autor:
Lebiedz, Dirk, Poppe, Johannes
Reminiscent of physical phase transitions separatrices divide the phase space of dynamical systems with multiple equilibria into regions of distinct flow behavior and asymptotics. We introduce complex time in order to study corresponding Riemann surf
Externí odkaz:
http://arxiv.org/abs/2410.06018
Autor:
Kainz, Nicolas, Lebiedz, Dirk
In this follow-up paper to [Local geometry of Equilibria and a Poincare-Bendixson-type Theorem for Holomorphic Flows, Nicolas Kainz, Dirk Lebiedz (2024)] we investigate the global topology and geometry of dynamical systems $\dot{x} = F(x)$ with entir
Externí odkaz:
http://arxiv.org/abs/2410.04895
Autor:
Kainz, Nicolas, Lebiedz, Dirk
In this paper, we explore the local geometry of dynamical systems $\dot{x}=F(x)$ with real time parameterization, where $F$ is holomorphic on connected open subsets of $\mathbb{C}\stackrel{\sim}{=}\mathbb{R}^2$. We describe the geometry of first-orde
Externí odkaz:
http://arxiv.org/abs/2402.07612
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 (reaction-) diffusion problems for various scenarios. Beside the pure analy
Externí odkaz:
http://arxiv.org/abs/2307.16764
Publikováno v:
Case Reports in Emergency Medicine, Vol 2016 (2016)
If myocardial infarction remains silent, only clinical signs of complications may unveil its presence. Life-threatening complications include myocardial rupture, thrombus formation, or arterial embolization. In the presented case, a 76-year-old patie
Externí odkaz:
https://doaj.org/article/d76adfb26bfb4ae1906a74a0b38d3073
Publikováno v:
Case Reports in Emergency Medicine, Vol 2015 (2015)
The incidence of acute aortic syndrome is low, but the spontaneous course is often life-threatening. Adequate ECG-gated imaging is fundamental within the diagnostic workup. We here report a case of a 53-year-old man presenting with atypical chest pai
Externí odkaz:
https://doaj.org/article/3213d2e025344c0b908662f0b25e9ec1
Autor:
Dietrich, Jörn, Lebiedz, Dirk
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-based model reduction techniques address this problem by projecting the fu
Externí odkaz:
http://arxiv.org/abs/2210.07938
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 \textit{vice versa}". According to the \textit{Flow Curvature Method}, th
Externí odkaz:
http://arxiv.org/abs/2101.01927
Autor:
Lebiedz, Dirk
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-valued Hamiltonian $H(q,p)=\xi(q)p$ from the holomorphic flow $\dot{q
Externí odkaz:
http://arxiv.org/abs/2006.09165
Autor:
Poppe, Johannes, Lebiedz, Dirk
The theory of slow invariant manifolds (SIMs) is the foundation of various model-order reduction techniques for dissipative dynamical systems with multiple time-scales, e.g. in chemical kinetic models. The construction of SIMs and many approximation
Externí odkaz:
http://arxiv.org/abs/1912.00676