Approximating normally hyperbolic invariant manifolds by trajectory-based optimization

This file was created by the TYPO3 extension publications --- Timezone: CEST Creation date: 2026-03-09 Creation time: 07:30:24 --- Number of references 22 article Approximating normally hyperbolic invariant manifolds by trajectory-based optimization 2 2026 submitted https://arxiv.org/abs/2210.07938 Jörn Dietrich Dirk Lebiedz article Geometry of canonical regions and elliptic sectors in holomorphic flows 2026 Topology Proceedings 68 95-121 https://arxiv.org/abs/2410.04895 Nicolas Kainz Dirk Lebiedz article Riemannian optimization on tree tensor networks with application to machine learning 2 2026 submitted to Linear Algebra & Applications https://arxiv.org/abs/2507.21726 Marius Willner Marco Trenti Dirk Lebiedz article Separatrix configurations in holomorphic flows 2 2026 submitted to Qualitative Theory of Dynamical Systems https://doi.org/10.48550/arXiv.2505.14594 Nicolas Kainz Dirk Lebiedz article Local geometry of equilibria and a Poincaré-Bendixson-type theorem for holomorphic flows 2025 Topology Proceedings 65 99 https://doi.org/10.48550/arXiv.2402.07612 Nicolas Kainz Dirk Lebiedz article Sensitivities in complex-time flows: phase transitions, Hamiltonian structure and differential geometry 2025 Chaos 35 033114 https://doi.org/10.1063/5.0245642 Dirk Lebiedz Johannes Poppe article Deep Chebyshev center-based column generation 2023 Chapter 74 in Operations Research Proceedings Lecture Notes in Operations Research Springer Lecture Notes in Operations Research Voigt, G., Fliedner, M., Haase, K., Brüggemann, W., Hoberg, K., Meissner, J. 581-587 https://www.springerprofessional.de/en/operations-research-proceedings-2023/51255116?tocPage=1 Maria Baier Dirk Lebiedz article On differential geometric formulations of slow invariant manifold computation: geodesic stretching and flow curvature 2022 15 1 Journal of Dynamical Systems and Geometric Theories 20(1) 1-32 https://doi.org/10.1080/1726037X.2022.2060909 Dirk Lebiedz Johannes Poppe article Flow curvature manifold and energy of generalized Lienard systems 2022 Chaos, Solitons and Fractals 161 112354 https://doi.org/10.1016/j.chaos.2022.112354 Jean-Marc Ginoux Dirk Lebiedz Riccardo Meucci Jaume Llibre article Vom Zählen zum Messen: Morphologie chemisch-kinetischer Modelle more geometrico 2022 Allgemeine Zeitschrift für Philosophie Beiheft 3 "Morphologie als Paradigma in den Wissenschaften" 309-331 https://www.frommann-holzboog.de/periodika/911/911000320 Dirk Lebiedz article Towards differential geometric characterization of slow invariant manifolds in extended phase space: Sectional curvature and flow invariance. 2018 3 13 1 SIAM Journal on Applied Dynamical Systems 17 732-753 https://epubs.siam.org/doi/abs/10.1137/16M1106353 Pascal Heiter Dirk Lebiedz article On unifying concepts for trajectory-based slow invariant attracting manifold computation in kinetic multiscale models 2016 3 Mathematical and Computer Modelling of Dynamical Systems 22 87-112 2 https://www.tandfonline.com/doi/full/10.1080/13873954.2016.1141219 Dirk Lebiedz Jonas Unger article A robust optimization approach to experimental design for model discrimination of dynamical systems 2013 10 Mathematical Programming 141 405-433 1-2 https://link.springer.com/article/10.1007/s10107-012-0532-0 Dominik Skanda Dirk Lebiedz article A continuation method for efficient solution of parametric optimization problems in kinetic model reduction 2013 SIAM Journal on Scientific Computing 35 35 A1584-A1603 3 https://epubs.siam.org/doi/10.1137/120900344 Dirk Lebiedz Jochen Siehr article A variational principle for computing slow invariant manifolds in dissipative dynamical systems 2011 1 SIAM Journal on Scientific Computing 33 703-720 2 https://epubs.siam.org/doi/abs/10.1137/100790318 Dirk Lebiedz Jochen Siehr Jonas Unger article Optimal control for selected cancer chemotherapy ODE models: a view on the potential of optimal schedules and choice of objective function 2011 1 Mathematical Biosciences 229 123-134 1 https://doi.org/10.1016/j.mbs.2010.11.007 Michael Engelhart Dirk Lebiedz Sebastian Sager article Minimal curvature trajectories: Riemannian geometry concepts for slow manifold computation in chemical kinetics 2010 9 Journal of Computational Physics 229 6512-6533 18 https://linkinghub.elsevier.com/retrieve/pii/S002199911000269X Dirk Lebiedz Volkmar Reinhardt Jochen Siehr article Entropy-related extremum principles for model reduction of dissipative dynamical systems 2010 Entropy 12 706-719 4 https://www.mdpi.com/1099-4300/12/4/706 Dirk Lebiedz article Phase tracking and restoration of circadian rhythms by model-based optimal control 2008 IET Systems Biology 2 1 16-23 https://digital-library.theiet.org/doi/10.1049/iet-syb:20070016 Osman Shahi Shaik Sebastian Sager Oliver Slaby Dirk Lebiedz article Annihilation of limit cycle oscillations by identification of critical perturbing stimuli via mixed-integer optimal control 2005 9 Physical Review Letters 95 108303 10 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.95.108303 Dirk Lebiedz Sebastian Sager Hans Georg Bock Pia Lebiedz article Computing minimal entropy production trajectories: An approach to model reduction in chemical kinetics 2004 4 Journal of Chemical Physics 120 6890-6897 5 https://aip.scitation.org/doi/10.1063/1.1652428 Dirk Lebiedz article Manipulation of self aggregation patterns and waves in a reaction-diffusion-system by optimal boundary control strategies 2003 11 Physical Review Letters 91 208301 20 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.91.208301 Dirk Lebiedz Ulrich Brandt-Pollmann