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452 Publications


2004 | Journal Article | LibreCat-ID: 16500
Global optimization of silicon nanoclusters
I. Chaudhuri, S. Sertl, Z. Hajnal, M. Dellnitz, T. Frauenheim, Applied Surface Science (2004) 108–113.
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2004 | Journal Article | LibreCat-ID: 16521
New spectral lower bounds on the bisection width of graphs
S. Bezrukov, R. Elsässer, B. Monien, R. Preis, J.-P. Tillich, Theoretical Computer Science (2004) 155–174.
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2004 | Journal Article | LibreCat-ID: 16527
A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems
S. Day, O. Junge, K. Mischaikow, SIAM Journal on Applied Dynamical Systems (2004) 117–160.
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2004 | Journal Article | LibreCat-ID: 16587
Optimal Diffusion Schemes and Load Balancing on Product Graphs
R. Elsässer, B. Monien, R. Preis, A. Frommer, Parallel Processing Letters (2004) 61–73.
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2004 | Journal Article | LibreCat-ID: 16619
A set oriented approach to global optimal control
O. Junge, H.M. Osinga, ESAIM: Control, Optimisation and Calculus of Variations (2004) 259–270.
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2004 | Conference Paper | LibreCat-ID: 16620
Uncertainty in the dynamics of conservative maps
O. Junge, J.E. Marsden, I. Mezic, in: 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004.
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2003 | Journal Article | LibreCat-ID: 16498
Computation of the dominant Lyapunov exponent via spatial integration using matrix norms
P.J. Aston, M. Dellnitz, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (2003) 2933–2955.
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2003 | Book Chapter | LibreCat-ID: 16543
Congestion and Almost Invariant Sets in Dynamical Systems
M. Dellnitz, R. Preis, in: Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
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2003 | Journal Article | LibreCat-ID: 16600
Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles
G. Froyland, M. Dellnitz, SIAM Journal on Scientific Computing (2003) 1839–1863.
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2003 | Book Chapter | LibreCat-ID: 16664
A New Data Structure for the Nondominance Problem in Multi-objective Optimization
O. Schütze, in: Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
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2003 | Book Chapter | LibreCat-ID: 16665
Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques
O. Schütze, S. Mostaghim, M. Dellnitz, J. Teich, in: Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
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2002 | Book Chapter | LibreCat-ID: 16538
Set Oriented Numerical Methods for Dynamical Systems
M. Dellnitz, O. Junge, in: Handbook of Dynamical Systems, 2002.
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2002 | Journal Article | LibreCat-ID: 16556
Finding zeros by multilevel subdivision techniques
M. Dellnitz, IMA Journal of Numerical Analysis (2002) 167–185.
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2002 | Journal Article | LibreCat-ID: 16586
Diffusion Schemes for Load Balancing on Heterogeneous Networks
R. Elsässer, B. Monien, R. Preis, Theory of Computing Systems (2002) 305–320.
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2001 | Book Chapter | LibreCat-ID: 16555
The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems
M. Dellnitz, G. Froyland, O. Junge, in: Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, Berlin, Heidelberg, 2001.
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2001 | Book Chapter | LibreCat-ID: 16598
Extracting Dynamical Behavior via Markov Models
G. Froyland, in: Nonlinear Dynamics and Statistics, Boston, MA, 2001.
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2001 | Journal Article | LibreCat-ID: 16601
Rigorous computation of topological entropy with respect to a finite partition
G. Froyland, O. Junge, G. Ochs, Physica D: Nonlinear Phenomena (2001) 68–84.
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2001 | Journal Article | LibreCat-ID: 16617 LibreCat | DOI
 

2000 | Book Chapter | LibreCat-ID: 16513 LibreCat | DOI
 

2000 | Book Chapter | LibreCat-ID: 16553
A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator
M. Dellnitz, G. Froyland, S. Sertl, in: Equadiff 99, 2000.
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2000 | Journal Article | LibreCat-ID: 16554
On the isolated spectrum of the Perron-Frobenius operator
M. Dellnitz, G. Froyland, S. Sertl, Nonlinearity (2000) 1171–1188.
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2000 | Book Chapter | LibreCat-ID: 16616
Rigorous discretization of subdivision techniques
O. Junge, in: Equadiff 99, 2000.
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2000 | Book Chapter | LibreCat-ID: 17018
The computation of an unstable invariant set inside a cylinder containing a knotted flow
M. Dellnitz, O. Junge, M. Rumpf, R. Strzodka, in: Equadiff 99, 2000, pp. 1053--1059.
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1999 | Journal Article | LibreCat-ID: 16511
The computation of lyapunov exponents via spatial integration with application to blowout bifurcations
P.J. Aston, M. Dellnitz, Computer Methods in Applied Mechanics and Engineering (1999) 223–237.
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1999 | Journal Article | LibreCat-ID: 16537
On the Approximation of Complicated Dynamical Behavior
M. Dellnitz, O. Junge, SIAM Journal on Numerical Analysis (1999) 491–515.
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1999 | Book Chapter | LibreCat-ID: 16584
Computation of Essential Molecular Dynamics by Subdivision Techniques
P. Deuflhard, M. Dellnitz, O. Junge, C. Schütte, in: Computational Molecular Dynamics: Challenges, Methods, Ideas, Berlin, Heidelberg, 1999.
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1999 | Journal Article | LibreCat-ID: 17017
Visualizing Complicated Dynamics
D. Bürkle, M. Dellnitz, O. Junge, M. Rumpf, M. Spielberg, Proceedings of Visualization 99 (1999).
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1998 | Journal Article | LibreCat-ID: 16536
An adaptive subdivision technique for the approximation of attractors and invariant measures
M. Dellnitz, O. Junge, Computing and Visualization in Science (1998) 63–68.
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1997 | Journal Article | LibreCat-ID: 16535
Almost Invariant Sets in Chua's Circuit
M. Dellnitz, O. Junge, International Journal of Bifurcation and Chaos (1997) 2475–2485.
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1997 | Journal Article | LibreCat-ID: 16552
Exploring invariant sets and invariant measures
M. Dellnitz, A. Hohmann, O. Junge, M. Rumpf, Chaos: An Interdisciplinary Journal of Nonlinear Science (1997) 221–228.
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1997 | Journal Article | LibreCat-ID: 16614
An adaptive method for the approximation of the generalized cell mapping
R. Guder, M. Dellnitz, E. Kreuzer, Chaos, Solitons & Fractals (1997) 525–534.
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1997 | Journal Article | LibreCat-ID: 17015
A subdivision algorithm for the computation of unstable manifolds and global attractors
M. Dellnitz, A. Hohmann, Numerische Mathematik 75 (1997) 293–317.
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1996 | Book Chapter | LibreCat-ID: 16533
The Computation of Unstable Manifolds Using Subdivision and Continuation
M. Dellnitz, A. Hohmann, in: Nonlinear Dynamical Systems and Chaos, Basel, 1996.
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1995 | Journal Article | LibreCat-ID: 16510
Symmetry Breaking Bifurcations of Chaotic Attractors
P.J. Aston, M. Dellnitz, International Journal of Bifurcation and Chaos (1995) 1643–1676.
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1995 | Journal Article | LibreCat-ID: 16532
Admissible symmetry increasing bifurcations
M. Dellnitz, C. Heinrich, Nonlinearity (1995) 1039–1066.
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1995 | Journal Article | LibreCat-ID: 16542
A note on the shadowing lemma and symmetric periodic points
M. Dellnitz, I. Melbourne, Nonlinearity (1995) 1067–1075.
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1995 | Journal Article | LibreCat-ID: 16550
Cycling Chaos
M. Dellnitz, M. Field, M. Golubitsky, J. Ma, A. Hohmann, International Journal of Bifurcation and Chaos (1995) 1243–1247.
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1995 | Journal Article | LibreCat-ID: 16551
Spirals in Scalar Reaction–Diffusion Equations
M. Dellnitz, M. Golubitsky, A. Hohmann, I. Stewart, International Journal of Bifurcation and Chaos (1995) 1487–1501.
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1995 | Book Chapter | LibreCat-ID: 16611
The constrained Liapunov-Schmidt procedure and periodic orbits
M. Golubitsky, J. Marsden, I. Stewart, M. Dellnitz, in: Normal Forms and Homoclinic Chaos, Providence, Rhode Island, 1995.
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1994 | Journal Article | LibreCat-ID: 16541
Generic movement of eigenvalues for equivariant self-adjoint matrices
M. Dellnitz, I. Melbourne, Journal of Computational and Applied Mathematics (1994) 249–259.
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1994 | Book Chapter | LibreCat-ID: 16544
Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom
M. Dellnitz, J. Scheurle, in: Dynamics, Bifurcation and Symmetry, Dordrecht, 1994.
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1994 | Book Chapter | LibreCat-ID: 16549
Symmetry of Attractors and the Karhunen-Loève Decomposition
M. Dellnitz, M. Golubitsky, M. Nicol, in: Trends and Perspectives in Applied Mathematics, New York, NY, 1994.
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1994 | Journal Article | LibreCat-ID: 17014
Collisions of chaotic attractors
M. Dellnitz, Schlaglichter Der Forschung: Zum 75. Jahrestag Der Universität Hamburg (1994) 411–428.
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1993 | Journal Article | LibreCat-ID: 16518
Detecting the symmetry of attractors
E. Barany, M. Dellnitz, M. Golubitsky, Physica D: Nonlinear Phenomena (1993) 66–87.
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1993 | Journal Article | LibreCat-ID: 16633
Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group
I. Melbourne, M. Dellnitz, Mathematical Proceedings of the Cambridge Philosophical Society (1993) 235–268.
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1993 | Journal Article | LibreCat-ID: 16634
The structure of symmetric attractors
I. Melbourne, M. Dellnitz, M. Golubitsky, Archive for Rational Mechanics and Analysis (1993) 75–98.
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1993 | Journal Article | LibreCat-ID: 17013
The equivariant Darboux theorem
M. Dellnitz, Lectures in Applied Mathematics 29 (1993) 163–169.
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1992 | Book Chapter | LibreCat-ID: 16546
Mechanisms of Symmetry Creation
M. Dellnitz, M. Golubitsky, I. Melbourne, in: Bifurcation and Symmetry, Basel, 1992.
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1992 | Book Chapter | LibreCat-ID: 16547
Generic Bifurcations of Pendula
M. Dellnitz, J.E. Marsden, I. Melbourne, J. Scheurle, in: Bifurcation and Symmetry, Basel, 1992.
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1992 | Journal Article | LibreCat-ID: 16548
Generic bifurcation of Hamiltonian vector fields with symmetry
M. Dellnitz, I. Melbourne, J.E. Marsden, Nonlinearity (1992) 979–996.
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