Search Results - "Dellnitz, Michael"

A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate Models, Feedback Control and Objective Reduction by Peitz, Sebastian, Dellnitz, Michael

“…Multiobjective optimization plays an increasingly important role in modern applications, where several criteria are often of equal importance. The task in…”
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On the hierarchical structure of Pareto critical sets by Gebken, Bennet, Peitz, Sebastian, Dellnitz, Michael

“…In this article we show that the boundary of the Pareto critical set of an unconstrained multiobjective optimization problem (MOP) consists of Pareto critical…”
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Improved Neural Control of Movements Manifests in Expertise-Related Differences in Force Output and Brain Network Dynamics by Gölz, Christian, Voelcker-Rehage, Claudia, Mora, Karin, Reuter, Eva-Maria, Godde, Ben, Dellnitz, Michael, Reinsberger, Claus, Vieluf, Solveig

“…It is well-established that expertise developed through continuous and deliberate practice has the potential to delay age-related decline in fine motor skills…”
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On the Approximation of Complicated Dynamical Behavior by Dellnitz, Michael, Junge, Oliver

“…We present efficient techniques for the numerical approximation of complicated dynamical behavior. In particular, we develop numerical methods which allow us…”
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On target for Venus – set oriented computation of energy efficient low thrust trajectories by Dellnitz, Michael, Junge, Oliver, Post, Marcus, Thiere, Bianca

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Deep model predictive flow control with limited sensor data and online learning by Bieker, Katharina, Peitz, Sebastian, Brunton, Steven L., Kutz, J. Nathan, Dellnitz, Michael

“…The control of complex systems is of critical importance in many branches of science, engineering, and industry, many of which are governed by nonlinear…”
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Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling by Peitz, Sebastian, Ober-Blöbaum, Sina, Dellnitz, Michael

“…In a wide range of applications it is desirable to optimally control a dynamical system with respect to concurrent, potentially competing goals. This gives…”
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Sensing and control in symmetric networks by Dellnitz, Michael, Klus, Stefan

“…In engineering applications, one of the major challenges today is to develop reliable and robust control algorithms for complex networked systems…”
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Transition Manifolds of Complex Metastable Systems: Theory and Data-Driven Computation of Effective Dynamics by Bittracher, Andreas, Koltai, Péter, Klus, Stefan, Banisch, Ralf, Dellnitz, Michael, Schütte, Christof

“…We consider complex dynamical systems showing metastable behavior, but no local separation of fast and slow time scales. The article raises the question of…”
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Continuous relaxations for the traveling salesman problem by Sahai, Tuhin, Ziessler, Adrian, Klus, Stefan, Dellnitz, Michael

“…In this work, we aim to explore connections between dynamical systems techniques and combinatorial optimization problems. In particular, we construct heuristic…”
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Symmetry of attractors and the Perron-Frobenius operator by Mehta, Prashant G., Hessel-von Molo, Mirko, Dellnitz, Michael

“…We study the stochastic aspects of dynamics for equivariant dynamical systems, in particular those aspects that relate to symmetric chaos. By now, symmetric…”
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Pareto Explorer: a global/local exploration tool for many-objective optimization problems by Schütze, Oliver, Cuate, Oliver, Martín, Adanay, Peitz, Sebastian, Dellnitz, Michael

“…Multi-objective optimization is an active field of research that has many applications. Owing to its success and because decision-making processes are becoming…”
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Transition Manifolds of Complex Metastable Systems by Bittracher, Andreas, Koltai, Péter, Klus, Stefan, Banisch, Ralf, Dellnitz, Michael, Schütte, Christof

“…We consider complex dynamical systems showing metastable behavior, but no local separation of fast and slow time scales. The article raises the question of…”
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On the equivariance properties of self-adjoint matrices by Dellnitz, Michael, Gebken, Bennet, Gerlach, Raphael, Klus, Stefan

“…We investigate self-adjoint matrices with respect to their equivariance properties. We show in particular that a matrix is self-adjoint if and only if it is…”
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Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults by Goelz, Christian, Mora, Karin, Stroehlein, Julia Kristin, Haase, Franziska Katharina, Dellnitz, Michael, Reinsberger, Claus, Vieluf, Solveig

“…Cardiorespiratory fitness was found to influence age-related changes of resting state brain network organization. However, the influence on dedifferentiated…”
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Age- and Expertise-Related Differences of Sensorimotor Network Dynamics during Force Control by Vieluf, Solveig, Mora, Karin, Gölz, Christian, Reuter, Eva-Maria, Godde, Ben, Dellnitz, Michael, Reinsberger, Claus, Voelcker-Rehage, Claudia

“…•Experts were less variable and more complex than novices of their age.•EEG-data indicated that young novices specifically activate sensorimotor network.•Older…”
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Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction by Peitz, Sebastian, Dellnitz, Michael

“…In this article an efficient numerical method to solve multiobjective optimization problems for fluid flow governed by the Navier Stokes equations is…”
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Local expansion concepts for detecting transport barriers in dynamical systems by Padberg, Kathrin, Thiere, Bianca, Preis, Robert, Dellnitz, Michael

“…In the last two decades, the mathematical analysis of material transport has received considerable interest in many scientific fields such as ocean dynamics…”
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POD‐based multiobjective optimal control of PDEs with non‐smooth objectives by Beermann, Dennis, Dellnitz, Michael, Peitz, Sebastian, Volkwein, Stefan

“…A framework for set‐oriented multiobjective optimal control of partial differential equations using reduced order modeling has recently been developed [1]…”
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An efficient algorithm for the parallel solution of high-dimensional differential equations by Klus, Stefan, Sahai, Tuhin, Liu, Cong, Dellnitz, Michael

“…The study of high-dimensional differential equations is challenging and difficult due to the analytical and computational intractability. Here, we improve the…”
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