%
% This file was created by the TYPO3 extension
% publications
% --- Timezone: CEST
% Creation date: 2026-05-14
% Creation time: 02:18:28
% --- Number of references
% 21
%


@Article { 534811099926_2026,
    author = {Kainz, Nicolas and Lebiedz, Dirk},
    title = {Geometry of canonical regions and elliptic sectors in holomorphic flows},
    year = {2026},
    journal = {Topology Proceedings},
    volume = {68},
    pages = {95-121},
    web_url = {https://arxiv.org/abs/2410.04895}
}

@Article { 864252978669_2026,
    author = {Willner, Marius and Trenti, Marco and Lebiedz, Dirk},
    title = {Riemannian optimization on tree tensor networks with application to machine learning},
    status = {2},
    year = {2026},
    journal = {submitted to Linear Algebra \\& Applications},
    web_url = {https://arxiv.org/abs/2507.21726}
}

@Article { 688833738088_2026,
    author = {Kainz, Nicolas and Lebiedz, Dirk},
    title = {Separatrix configurations in holomorphic flows},
    year = {2026},
    journal = {Qualitative Theory of Dynamical Systems},
    volume = {25(2)},
    pages = {61},
    web_url = {https://doi.org/10.1007/s12346-026-01487-z}
}

@Article { 706663690250_2025,
    author = {Kainz, Nicolas and Lebiedz, Dirk},
    title = {Local geometry of equilibria and a Poincar\'{e}-Bendixson-type theorem for holomorphic flows},
    year = {2025},
    journal = {Topology Proceedings},
    volume = {65},
    pages = {99-116},
    web_url = {https://doi.org/10.48550/arXiv.2402.07612}
}

@Article { 438637282006_2025,
    author = {Lebiedz, Dirk and Poppe, Johannes},
    title = {Sensitivities in complex-time flows: phase transitions, Hamiltonian structure and differential geometry},
    year = {2025},
    journal = {Chaos},
    volume = {35},
    pages = {033114},
    web_url = {https://doi.org/10.1063/5.0245642}
}

@Article { 153916145890_2023,
    author = {Baier, Maria and Lebiedz, Dirk},
    title = {Deep Chebyshev center-based column generation},
    year = {2023},
    journal = {Chapter 74 in Operations Research Proceedings},
    edition = {Lecture Notes in Operations Research},
    publisher = {Springer},
    series = {Lecture Notes in Operations Research},
    editor = {Voigt, G., Fliedner, M., Haase, K., Br\"{u}ggemann, W., Hoberg, K., Meissner, J.},
    pages = {581-587},
    web_url = {https://www.springerprofessional.de/en/operations-research-proceedings-2023/51255116?tocPage=1}
}

@Article { 840627714458_2022,
    author = {Lebiedz, Dirk and Poppe, Johannes},
    title = {On differential geometric formulations of slow invariant manifold computation: geodesic stretching and flow curvature},
    year = {2022},
    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 { 455520004146_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 { 993067297623_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 { 456597392790_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 { 962468653996_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 { 597259689325_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 { 144044558540_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 { 259401244733_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 { 783090929488_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 { 256105540421_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 { 733476571118_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 { 569542169361_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/doi/10.1049/iet-syb:20070016}
}

@Article { 129875552081_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 { 432959564674_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 { 235484950913_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}
}