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Advances in Dynamics, Optimization and Computation

A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday

  • Conference proceedings
  • © 2020

Overview

Editors:
  1. Oliver Junge

    1. Department of Mathematics, Technical University of Munich, Munich, Germany

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  2. Oliver Schütze

    1. Computer Science Department, Cinvestav-IPN, Mexico City, Mexico

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  3. Gary Froyland

    1. School of Mathematics and Statistics, University of New South Wales, Sydney, Australia

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  4. Sina Ober-Blöbaum

    1. Department of Mathematics, Paderborn University, Paderborn, Germany

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  5. Kathrin Padberg-Gehle

    1. Institute of Mathematics and its Didactics, Leuphana University Lüneburg, Lüneburg, Germany

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  • Highlights recent research on Set-Oriented Numerics
  • Gathers the proceedings of the Workshop on Dynamics, Optimization and Computation held in honor of Michael Dellnitz’s 60th birthday
  • Written by respected experts in the field

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 304)

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Table of contents (15 papers)

  1. Front Matter

    Pages i-xv
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  2. Dynamics

    1. Front Matter

      Pages 1-1
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    2. A Continuation Approach to Computing Phase Resetting Curves

      • Peter Langfield, Bernd Krauskopf, Hinke M. Osinga
      Pages 3-30

    3. Input-Output Networks, Singularity Theory, and Homeostasis

      • Martin Golubitsky, Ian Stewart, Fernando Antoneli, Zhengyuan Huang, Yangyang Wang
      Pages 31-65

    4. The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems

      • Raphael Gerlach, Adrian Ziessler
      Pages 66-85

    5. Set-Oriented and Finite-Element Study of Coherent Behavior in Rayleigh-Bénard Convection

      • Anna Klünker, Christiane Schneide, Gary Froyland, Jörg Schumacher, Kathrin Padberg-Gehle
      Pages 86-108

    6. Singular Value Decomposition of Operators on Reproducing Kernel Hilbert Spaces

      • Mattes Mollenhauer, Ingmar Schuster, Stefan Klus, Christof Schütte
      Pages 109-131

    7. A Weak Characterization of Slow Variables in Stochastic Dynamical Systems

      • Andreas Bittracher, Christof Schütte
      Pages 132-150

    8. Analysis and Simulation of Extremes and Rare Events in Complex Systems

      • Meagan Carney, Holger Kantz, Matthew Nicol
      Pages 151-182

    9. Dynamical Systems Theory and Algorithms for NP-hard Problems

      • Tuhin Sahai
      Pages 183-206

  3. Optimal Control

    1. Front Matter

      Pages 207-207
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    2. Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach

      • Kathrin Flaßkamp, Sina Ober-Blöbaum, Sebastian Peitz
      Pages 209-237

    3. POD-Based Mixed-Integer Optimal Control of Evolution Systems

      • Christian Jäkle, Stefan Volkwein
      Pages 238-264

    4. From Bellman to Dijkstra: Set-Oriented Construction of Globally Optimal Controllers

      • Lars Grüne, Oliver Junge
      Pages 265-294

    5. An Optimal Control Derivation of Nonlinear Smoothing Equations

      • Jin Won Kim, Prashant G. Mehta
      Pages 295-311

  5. Back Matter

    Pages 391-392
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Other volumes

  1. Advances in Dynamics, Optimization and Computation

Keywords

About this book

This book presents a collection of papers on recent advances in problems concerning dynamics, optimal control and optimization. In many chapters, computational techniques play a central role. Set-oriented techniques feature prominently throughout the book, yielding state-of-the-art algorithms for computing general invariant sets, constructing globally optimal controllers and solving multi-objective optimization problems.

Editors and Affiliations

  • Department of Mathematics, Technical University of Munich, Munich, Germany

    Oliver Junge

  • Computer Science Department, Cinvestav-IPN, Mexico City, Mexico

    Oliver Schütze

  • School of Mathematics and Statistics, University of New South Wales, Sydney, Australia

    Gary Froyland

  • Department of Mathematics, Paderborn University, Paderborn, Germany

    Sina Ober-Blöbaum

  • Institute of Mathematics and its Didactics, Leuphana University Lüneburg, Lüneburg, Germany

    Kathrin Padberg-Gehle

Bibliographic Information

  • Book Title: Advances in Dynamics, Optimization and Computation

  • Book Subtitle: A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday

  • Editors: Oliver Junge, Oliver Schütze, Gary Froyland, Sina Ober-Blöbaum, Kathrin Padberg-Gehle

  • Series Title: Studies in Systems, Decision and Control

  • DOI: https://doi.org/10.1007/978-3-030-51264-4

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-51263-7Published: 21 July 2020

  • Softcover ISBN: 978-3-030-51266-8Published: 22 July 2021

  • eBook ISBN: 978-3-030-51264-4Published: 20 July 2020

  • Series ISSN: 2198-4182

  • Series E-ISSN: 2198-4190

  • Edition Number: 1

  • Number of Pages: XV, 392

  • Number of Illustrations: 70 b/w illustrations, 107 illustrations in colour

  • Topics: Engineering Mathematics, Control and Systems Theory, Theory of Computation, Quantum Computing, Complex Systems

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