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1

Locating all the zeros of an analytic function in one complex variable

Michael Dellnitz, Oliver Schütze, Qinghua Zheng

Journal:

Journal of Computational and Applied Mathematics

Year:

2002

Language:

english

File:

PDF, 168 KB

english, 2002

2

The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques

Ziessler, Adrian, Dellnitz, Michael, Gerlach, Raphael

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2019

Language:

english

File:

PDF, 4.59 MB

english, 2019

3

An efficient algorithm for the parallel solution of high-dimensional differential equations

Stefan Klus, Tuhin Sahai, Cong Liu, Michael Dellnitz

Journal:

Journal of Computational and Applied Mathematics

Year:

2011

Language:

english

File:

PDF, 436 KB

english, 2011

4

On the Approximation of Complicated Dynamical Behavior

Dellnitz, Michael, Junge, Oliver

Journal:

SIAM Journal on Numerical Analysis

Year:

1999

Language:

english

File:

PDF, 3.26 MB

english, 1999

5

TRANSPORT IN DYNAMICAL ASTRONOMY AND MULTIBODY PROBLEMS

DELLNITZ, MICHAEL, JUNGE, OLIVER, KOON, WANG SANG, LEKIEN, FRANCOIS, LO, MARTIN W., MARSDEN, JERROLD E., PADBERG, KATHRIN, PREIS, ROBERT, ROSS, SHANE D., THIERE, BIANCA

Journal:

International Journal of Bifurcation and Chaos

Year:

2005

Language:

english

File:

PDF, 1.38 MB

english, 2005

6

Hybridizing evolutionary strategies with continuation methods for solving multi-objective problems

Schütze, Oliver, Coello Coello, Carlos A., Mostaghim, Sanaz, Talbi, El-Ghazali, Dellnitz, Michael

Journal:

Engineering Optimization

Year:

2008

Language:

english

File:

PDF, 518 KB

english, 2008

7

SYMMETRY BREAKING BIFURCATIONS OF CHAOTIC ATTRACTORS

ASTON, PHILIP J., DELLNITZ, MICHAEL

Journal:

International Journal of Bifurcation and Chaos

Year:

1995

Language:

english

File:

PDF, 2.88 MB

english, 1995

8

Computational bifurcation of periodic solutions in systems with symmetry

DELLNITZ, MICHAEL

Journal:

IMA Journal of Numerical Analysis

Year:

1992

Language:

english

File:

PDF, 1.05 MB

english, 1992

9

Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group

Melbourne, Ian, Dellnitz, Michael

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

1993

Language:

english

File:

PDF, 1.79 MB

english, 1993

10

Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction

Peitz, Sebastian, Dellnitz, Michael

Journal:

Year:

2015

Language:

english

File:

PDF, 279 KB

english, 2015

11

Improved Neural Control of Movements Manifests in Expertise-Related Differences in Force Output and Brain Network Dynamics

Gölz, Christian, Voelcker-Rehage, Claudia, Mora, Karin, Reuter, Eva-Maria, Godde, Ben, Dellnitz, Michael, Reinsberger, Claus, Vieluf, Solveig

Journal:

Frontiers in Physiology

Year:

2018

Language:

english

File:

PDF, 966 KB

english, 2018

12

Deep model predictive flow control with limited sensor data and online learning

Bieker, Katharina, Peitz, Sebastian, Brunton, Steven L., Kutz, J. Nathan, Dellnitz, Michael

Journal:

Theoretical and Computational Fluid Dynamics

Year:

2020

Language:

english

File:

PDF, 1.19 MB

english, 2020

13

On the Approximation of Transport Phenomena – a Dynamical Systems Approach

Michael Dellnitz, Gary Froyland, Christian Horenkamp, Kathrin Padberg

Journal:

GAMM-Mitteilungen

Year:

2009

Language:

english

File:

PDF, 3.21 MB

english, 2009

14

Detecting the symmetry of attractors

Ernest Barany, Michael Dellnitz, Martin Golubitsky

Journal:

Physica D: Nonlinear Phenomena

Year:

1993

Language:

english

File:

PDF, 1.39 MB

english, 1993

15

Computational methods for bifurcation problems with symmetries—with special attention to steady state and Hopf bifurcation points

Michael Dellnitz, Bodo Werner

Journal:

Journal of Computational and Applied Mathematics

Year:

1989

Language:

english

File:

PDF, 1.79 MB

english, 1989

16

Generic movement of eigenvalues for equivariant self-adjoint matrices

Michael Dellnitz, Ian Melbourne

Journal:

Journal of Computational and Applied Mathematics

Year:

1994

Language:

english

File:

PDF, 693 KB

english, 1994

17

Local expansion concepts for detecting transport barriers in dynamical systems

Kathrin Padberg, Bianca Thiere, Robert Preis, Michael Dellnitz

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2009

Language:

english

File:

PDF, 996 KB

english, 2009

18

Preface

Michael Dellnitz, Steve Kirkland, Michael Neumann, Christof Schuette

Journal:

Linear Algebra and its Applications

Year:

2005

Language:

english

File:

PDF, 121 KB

english, 2005

19

The computation of lyapunov exponents via spatial integration with application to blowout bifurcations

Philip J. Aston, Michael Dellnitz

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1999

Language:

english

File:

PDF, 808 KB

english, 1999

20

An adaptive method for the approximation of the generalized cell mapping

Rabbijah Guder, Michael Dellnitz, Edwin Kreuzer

Journal:

Chaos, Solitons & Fractals

Year:

1997

Language:

english

File:

PDF, 905 KB

english, 1997

21

The structure of symmetric attractors

Ian Melbourne, Michael Dellnitz, Martin Golubitsky

Journal:

Archive for Rational Mechanics and Analysis

Year:

1993

Language:

english

File:

PDF, 1.44 MB

english, 1993

22

A subdivision algorithm for the computation of unstable manifolds and global attractors

Michael Dellnitz, Andreas Hohmann

Journal:

Numerische Mathematik

Year:

1997

Language:

english

File:

PDF, 744 KB

english, 1997

23

An adaptive subdivision technique for the approximation of attractors and invariant measures

Michael Dellnitz, Oliver Junge

Journal:

Computing and Visualization in Science

Year:

1998

Language:

english

File:

PDF, 166 KB

english, 1998

24

A new approach for online multiobjective optimization of mechatronic systems

Katrin Witting, Bernd Schulz, Michael Dellnitz, Joachim Böcker, Norbert Fröhleke

Journal:

International Journal on Software Tools for Technology Transfer (STTT)

Year:

2008

Language:

english

File:

PDF, 926 KB

english, 2008

25

On target for Venus – set oriented computation of energy efficient low thrust trajectories

Michael Dellnitz, Oliver Junge, Marcus Post, Bianca Thiere

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2006

Language:

english

File:

PDF, 316 KB

english, 2006

26

A multi-objective approach to the design of low thrust space trajectories using optimal control

Michael Dellnitz, Sina Ober-Blöbaum, Marcus Post, Oliver Schütze, Bianca Thiere

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2009

Language:

english

File:

PDF, 1.30 MB

english, 2009

27

Global Optimization using a Dynamical Systems Approach

Stefan Sertl, Michael Dellnitz

Journal:

Journal of Global Optimization

Year:

2006

Language:

english

File:

PDF, 349 KB

english, 2006

28

Convergence of stochastic search algorithms to finite size pareto set approximations

Oliver Schütze, Marco Laumanns, Carlos A. Coello Coello, Michael Dellnitz, El-Ghazali Talbi

Journal:

Journal of Global Optimization

Year:

2008

Language:

english

File:

PDF, 685 KB

english, 2008

29

Return Time Dynamics as a Tool for Finding Almost Invariant Sets

BIANCA THIERE, MICHAEL DELLNITZ

Journal:

Annals of the New York Academy of Sciences

Year:

2005

Language:

english

File:

PDF, 937 KB

english, 2005

30

A variational approach to define robustness for parametric multiobjective optimization problems

Witting, Katrin, Ober-Blöbaum, Sina, Dellnitz, Michael

Journal:

Journal of Global Optimization

Year:

2013

Language:

english

File:

PDF, 305 KB

english, 2013

31

Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles

Froyland, Gary, Dellnitz, Michael

Journal:

SIAM Journal on Scientific Computing

Year:

2003

Language:

english

File:

PDF, 2.30 MB

english, 2003

32

Optimal Control on Stable Manifolds for a Double Pendulum

Flaßkamp, Kathrin, Timmermann, Julia, Ober-Blöbaum, Sina, Dellnitz, Michael, Trächtler, Ansgar

Journal:

Year:

2012

Language:

english

File:

PDF, 692 KB

english, 2012

33

On the Approximation of Complicated Dynamical Behavior

Michael Dellnitz and Oliver Junge

Journal:

SIAM Journal on Numerical Analysis

Year:

1999

Language:

english

File:

PDF, 1.70 MB

english, 1999

34

[IEEE 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA) - Nanjing, China (2008.12.5-2008.12.8)] 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications - Multi-objective shape optimization for piezoceramics

Wang, Fang, Dellnitz, Michael

Year:

2008

Language:

english

File:

PDF, 312 KB

english, 2008

35

[IEEE 2009 NORCHIP - Trondheim, Norway (2009.11.16-2009.11.17)] 2009 NORCHIP - Multiobjective optimization for transistor sizing of CMOS logic standard cells using set-oriented numerical techniques

Blesken, Matthias, Ruckert, Ulrich, Steenken, Dominik, Witting, Katrin, Dellnitz, Michael

Year:

2009

Language:

english

File:

PDF, 319 KB

english, 2009

36

Designing optimal low-thrust gravity-assist trajectories using space pruning and a multi-objective approach

Schütze, Oliver, Vasile, Massimiliano, Junge, Oliver, Dellnitz, Michael, Izzo, Dario

Journal:

Engineering Optimization

Year:

2009

Language:

english

File:

PDF, 781 KB

english, 2009

37

Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region

Dellnitz, Michael, Junge, Oliver, Lo, Martin W., Marsden, Jerrold E., Padberg, Kathrin, Preis, Robert, Ross, Shane D., Thiere, Bianca

Journal:

Physical Review Letters

Year:

2005

Language:

english

File:

PDF, 6.11 MB

english, 2005

38

Special issue on mechanics and space mission design

Dellnitz, Michael, Marsden, Jerrold E.

Journal:

Dynamical Systems / An International Journal

Year:

2005

Language:

english

File:

PDF, 86 KB

english, 2005

39

Handling high-dimensional problems with multi-objective continuation methods via successive approximation of the tangent space

Ringkamp, Maik, Ober-Blöbaum, Sina, Dellnitz, Michael, Schütze, Oliver

Journal:

Engineering Optimization

Year:

2012

Language:

english

File:

PDF, 660 KB

english, 2012

40

Development of an Intelligent Cruise Control Using Optimal Control Methods

Dellnitz, Michael, Eckstein, Julian, Flaßkamp, Kathrin, Friedel, Patrick, Horenkamp, Christian, Köhler, Ulrich, Ober-Blöbaum, Sina, Peitz, Sebastian, Tiemeyer, Sebastian

Journal:

Procedia Technology

Year:

2014

Language:

english

File:

PDF, 320 KB

english, 2014

41

CYCLING CHAOS

DELLNITZ, MICHAEL, FIELD, MICHAEL, GOLUBITSKY, MARTIN, MA, JUN, HOHMANN, ANDREAS

Journal:

International Journal of Bifurcation and Chaos

Year:

1995

File:

PDF, 384 KB

1995

42

Symmetry of attractors and the Perron-Frobenius operator

Mehta, Prashant G., Hessel-von Molo, Mirko, Dellnitz, Michael

Journal:

Journal of Difference Equations and Applications

Year:

2006

Language:

english

File:

PDF, 453 KB

english, 2006

43

Almost Invariant Sets in Chua's Circuit

Dellnitz, Michael, Junge, Oliver

Journal:

International Journal of Bifurcation and Chaos

Year:

1997

Language:

english

File:

PDF, 619 KB

english, 1997

44

On the isolated spectrum of the Perron-Frobenius operator

Dellnitz, Michael, Froyland, Gary, Sertl, Stefan

Journal:

Year:

2000

Language:

english

File:

PDF, 207 KB

english, 2000

45

SPIRALS IN SCALAR REACTION–DIFFUSION EQUATIONS

DELLNITZ, MICHAEL, GOLUBITSKY, MARTIN, HOHMANN, ANDREAS, STEWART, IAN

Journal:

International Journal of Bifurcation and Chaos

Year:

1995

Language:

english

File:

PDF, 1.28 MB

english, 1995

46

[Handbook of Dynamical Systems] Volume 2 || Chapter 5 Set oriented numerical methods for dynamical systems

Dellnitz, Michael

Year:

2002

Language:

english

File:

PDF, 2.24 MB

english, 2002

47

[Elsevier Astrodynamics Series] Modern Astrodynamics Volume 1 || 5 Set oriented numerical methods in space mission design

Dellnitz, Michael

Year:

2007

Language:

english

File:

PDF, 1.32 MB

english, 2007

48

Multiobjective Optimization of Control Trajectories for the Guidance of a Rail-bound Vehicle

Geisler, M.Sc. Jens, Witting, Dipl.-Math. Katrin, Trächtler, Ansgar, Dellnitz, Michael

Journal:

IFAC Proceedings Volumes

Year:

2008

Language:

english

File:

PDF, 775 KB

english, 2008

49

Sensing and control in symmetric networks *

Dellnitz, Michael, Klus, Stefan

Journal:

Dynamical Systems / An International Journal

Year:

2016

Language:

english

File:

PDF, 712 KB

english, 2016

50

Multiobjective Model Predictive Control of an Industrial Laundry

Peitz, Sebastian, Gräler, Manuel, Henke, Christian, Molo, Mirko Hessel-von, Dellnitz, Michael, Trächtler, Ansgar

Journal:

Procedia Technology

Year:

2016

Language:

english

File:

PDF, 137 KB

english, 2016