% % This file was created by the TYPO3 extension % publications % --- Timezone: CEST % Creation date: 2024-03-29 % Creation time: 11:38:24 % --- Number of references % 25 % @Article { 427284388324_2024, author = {Kainz, Nicolas and Lebiedz, Dirk}, title = {Geometry of global sectors and basins of equilibria in holomorphic flows}, status = {2}, year = {2024} } @Article { 285299279199_2024, author = {Lebiedz, Dirk}, title = {Hamiltonian Riemann Surfaces and Phase Transitions in Complex-Time Newton Flow of Riemann's Xi-Function}, status = {2}, year = {2024} } @Article { 721719040819_2024, author = {Kainz, Nicolas and Lebiedz, Dirk}, title = {Local geometry of equilibria and a Poincare-Bendixson-type theorem for holomorphic flows}, status = {2}, year = {2024}, web_url = {https://doi.org/10.48550/arXiv.2402.07612} } @Article { 678233625364_2023, author = {Dietrich, J\"{o}rn and Lebiedz, Dirk}, title = {Approximating normally hyperbolic invariant manifolds by trajectory-based optimization}, status = {2}, year = {2023}, web_url = {https://arxiv.org/abs/2210.07938} } @Article { 850984540657_2023, author = {Baier, Maria and Lebiedz, Dirk}, title = {Deep Chebyshev center-based column generation}, year = {2023}, journal = {Proceedings of Operations Research Conference} } @Article { 144174700497_2022, author = {Lebiedz, Dirk and Poppe, Johannes}, title = {On Differential Geometric Formulations of Slow Invariant Manifold Computation: Geodesic Stretching and Flow Curvature}, year = {2022}, month = {Juni}, day = {15}, reviewed = {1}, journal = {Journal of Dynamical Systems and Geometric Theories}, volume = {20(1)}, pages = {1-32}, web_url = {https://doi.org/10.1080/1726037X.2022.2060909} } @Article { 711694778329_2022, author = {Ginoux, Jean-Marc and Lebiedz, Dirk and Meucci, Riccardo and Llibre, Jaume}, title = {Flow curvature manifold and energy of generalized Lienard systems}, year = {2022}, journal = {Chaos, Solitons and Fractals}, volume = {161}, pages = {112354}, web_url = {https://doi.org/10.1016/j.chaos.2022.112354} } @Article { 929419126379_2022, author = {Lebiedz, Dirk}, title = {Vom Z\"{a}hlen zum Messen: Morphologie chemisch-kinetischer Modelle more geometrico}, year = {2022}, journal = {Allgemeine Zeitschrift f\"{u}r Philosophie}, volume = {Beiheft 3 \dqMorphologie als Paradigma in den Wissenschaften\dq}, pages = {309-331}, web_url = {https://www.frommann-holzboog.de/periodika/911/911000320} } @Article { 290163715247_2020, author = {Lebiedz, Dirk}, title = {Holomorphic Hamiltonian Xi-flow and Riemann zeros}, status = {2}, year = {2020}, web_url = {https://arxiv.org/abs/2006.09165} } @Article { 633895636720_2019, author = {Dietrich, J\"{o}rn and Lebiedz, Dirk}, title = {A Spectral View on Slow Invariant Manifolds in Complex-Time Dynamical Systems}, status = {2}, year = {2019}, web_url = {https://arxiv.org/abs/1912.00748} } @Article { 150252910352_2019, author = {Heitel, Marcus and Verschueren, Robin and Diehl, Moritz and Lebiedz, Dirk}, title = {Considering slow manifold based model reduction for multiscale chemical optimal control problems}, status = {2}, year = {2019}, web_url = {https://arxiv.org/abs/1712.01058} } @Article { 508462176829_2019, author = {Heitel, Marcus and Lebiedz, Dirk}, title = {On Analytical and Topological Properties of Separatrices in 1-D Holomorphic Dynamical Systems and Complex-Time Newton Flows}, status = {2}, year = {2019}, web_url = {https://arxiv.org/abs/1911.10963} } @Article { 422955826807_2018, author = {Heiter, Pascal and Lebiedz, Dirk}, title = {Towards differential geometric characterization of slow invariant manifolds in extended phase space: Sectional curvature and flow invariance.}, year = {2018}, month = {3}, day = {13}, reviewed = {1}, journal = {SIAM Journal on Applied Dynamical Systems}, volume = {17}, pages = {732-753}, web_url = {https://epubs.siam.org/doi/abs/10.1137/16M1106353} } @Article { 483009666778_2016, author = {Lebiedz, Dirk and Unger, Jonas}, title = {On unifying concepts for trajectory-based slow invariant attracting manifold computation in kinetic multiscale models}, year = {2016}, month = {3}, journal = {Mathematical and Computer Modelling of Dynamical Systems}, volume = {22}, pages = {87-112}, number = {2}, web_url = {https://www.tandfonline.com/doi/full/10.1080/13873954.2016.1141219} } @Article { 812223298879_2013, author = {Skanda, Dominik and Lebiedz, Dirk}, title = {A robust optimization approach to experimental design for model discrimination of dynamical systems}, year = {2013}, month = {10}, journal = {Mathematical Programming}, volume = {141}, pages = {405-433}, number = {1-2}, web_url = {https://link.springer.com/article/10.1007/s10107-012-0532-0} } @Article { 577805554973_2013, author = {Lebiedz, Dirk and Siehr, Jochen}, title = {A continuation method for efficient solution of parametric optimization problems in kinetic model reduction}, year = {2013}, journal = {SIAM Journal on Scientific Computing}, edition = {35}, volume = {35}, pages = {A1584-A1603}, number = {3}, web_url = {https://epubs.siam.org/doi/10.1137/120900344} } @Article { 217255132750_2011, author = {Lebiedz, Dirk and Siehr, Jochen and Unger, Jonas}, title = {A variational principle for computing slow invariant manifolds in dissipative dynamical systems}, year = {2011}, month = {1}, journal = {SIAM Journal on Scientific Computing}, volume = {33}, pages = {703-720}, number = {2}, web_url = {https://epubs.siam.org/doi/abs/10.1137/100790318} } @Article { 656424144149_2011, author = {Engelhart, Michael and Lebiedz, Dirk and Sager, Sebastian}, title = {Optimal control for selected cancer chemotherapy ODE models: a view on the potential of optimal schedules and choice of objective function}, year = {2011}, month = {1}, journal = {Mathematical Biosciences}, volume = {229}, pages = {123-134}, number = {1}, web_url = {https://doi.org/10.1016/j.mbs.2010.11.007} } @Article { 319748383091_2010, author = {Lebiedz, Dirk and Reinhardt, Volkmar and Siehr, Jochen}, title = {Minimal curvature trajectories: Riemannian geometry concepts for slow manifold computation in chemical kinetics}, year = {2010}, month = {9}, journal = {Journal of Computational Physics}, volume = {229}, pages = {6512-6533}, number = {18}, web_url = {https://linkinghub.elsevier.com/retrieve/pii/S002199911000269X} } @Article { 529106329979_2010, author = {Lebiedz, Dirk}, title = {Entropy-related extremum principles for model reduction of dissipative dynamical systems}, year = {2010}, journal = {Entropy}, volume = {12}, pages = {706-719}, number = {4}, web_url = {https://www.mdpi.com/1099-4300/12/4/706} } @Article { 820139704585_2008, author = {Reinhardt, Volkmar and Winkler, Miriam and Lebiedz, Dirk}, title = {Approximation of slow attracting manifolds in chemical kinetics by trajectory-based optimization approaches}, year = {2008}, journal = {Journal of Physical Chemistry A}, volume = {112}, series = {8}, pages = {1712-1718}, number = {8}, web_url = {https://pubs.acs.org/doi/10.1021/jp0739925} } @Article { 884784542559_2008, author = {Shaik, Osman Shahi and Sager, Sebastian and Slaby, Oliver and Lebiedz, Dirk}, title = {Phase tracking and restoration of circadian rhythms by model-based optimal control}, year = {2008}, journal = {IET Systems Biology}, edition = {2}, volume = {1}, pages = {16-23}, web_url = {https://digital-library.theiet.org/content/journals/10.1049/iet-syb\_20070016;jsessionid=77fco63rhh047.x-iet-live-01} } @Article { 816770090949_2005, author = {Lebiedz, Dirk and Sager, Sebastian and Bock, Hans Georg and Lebiedz, Pia}, title = {Annihilation of limit cycle oscillations by identification of critical perturbing stimuli via mixed-integer optimal control}, year = {2005}, month = {9}, journal = {Physical Review Letters}, volume = {95}, pages = {108303}, number = {10}, web_url = {https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.95.108303} } @Article { 314327728413_2004, author = {Lebiedz, Dirk}, title = {Computing minimal entropy production trajectories: An approach to model reduction in chemical kinetics}, year = {2004}, month = {4}, journal = {Journal of Chemical Physics}, volume = {120}, pages = {6890-6897}, number = {5}, web_url = {https://aip.scitation.org/doi/10.1063/1.1652428} } @Article { 348335035144_2003, author = {Lebiedz, Dirk and Brandt-Pollmann, Ulrich}, title = {Manipulation of self aggregation patterns and waves in a reaction-diffusion-system by optimal boundary control strategies}, year = {2003}, month = {11}, journal = {Physical Review Letters}, volume = {91}, pages = {208301}, number = {20}, web_url = {https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.91.208301} }