40 citations · 40 across the 7 of their papers we have counts for
7 papers
Continuation with Non-invasive Control Schemes: Revealing Unstable States in a Pedestrian Evacuation Scenario
Ilias Panagiotopoulos, Jens Starke, Jan Sieber +1
This paper presents a framework to perform bifurcation analysis in laboratory experiments or simulations. We employ control-based continuation to study the dynamics of a macroscopi…
Optimal vaccine roll-out strategies with respect to social distancing measures for SARS-CoV-2 pandemic
Konstantinos Spiliotis, Constantinos Chr. Koutsoumaris, Andreas Reppas +2
Non-pharmacological interventions (NPIs), and in particular social distancing, in conjunction with the advent of effective vaccines at the end of 2020, aspired for the development…
Deep brain stimulation for movement disorder treatment: Exploring frequency-dependent efficacy in a computational network model
Konstantinos Spiliotis, Jens Starke, Denise Franz +2
A large scale computational model of the basal ganglia (BG) network is proposed to describes movement disorder including deep brain stimulation (DBS). The model of this complex net…
Convergence of equation-free methods in the case of finite time scale separation with application to deterministic and stochastic systems
Jan Sieber, Christian Marschler, Jens Starke
A common approach to studying high-dimensional systems with emergent low-dimensional behavior is based on lift-evolve-restrict maps (called equation-free methods): first, a user-de…
Equation-Free Analysis of Macroscopic Behavior in Traffic and Pedestrian Flow
Christian Marschler, Jan Sieber, Poul G. Hjorth +1
Equation-free methods make possible an analysis of the evolution of a few coarse-grained or macroscopic quantities for a detailed and realistic model with a large number of fine-gr…
Implicit Methods for Equation-Free Analysis: Convergence Results and Analysis of Emergent Waves in Microscopic Traffic Models
Christian Marschler, Jan Sieber, Rainer Berkemer +2
We introduce a general formulation for an implicit equation-free method in the setting of slow-fast systems. First, we give a rigorous convergence result for equation-free analysis…
An iterative method for the approximation of fibers in slow-fast systems
Kristian Uldall Kristiansen, Morten Brøns, Jens Starke
In this paper we extend a method for iteratively improving slow manifolds so that it also can be used to approximate the fiber directions. The extended method is applied to general…