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Abstract: In a given dynamical system there are essentially two different types of information which could be of practical interest: on the one hand there is the need to describe the behavior of single trajectories in detail. This information is helpful for the analysis of transient behavior and also in the investigation of geometric properties of dynamical systems. On the other hand, if the underlying invariant set is generated by complicated dynamics then the computation of single trajectories may ... (Update)
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BibTeX entry: (Update)
Dellnitz M., Froyland G., Junge O. (2000) The algorithms behind GAIO-set oriented numerical methods for dynamical systems. In this DANSE book volume http://citeseer.ist.psu.edu/article/dellnitz99algorithms.html More
@misc{ dellnitz00algorithms,
author = "M. Dellnitz and G. Froyland and O. Junge",
title = "The algorithms behind GAIO-set oriented numerical methods for dynamical
systems",
text = "Dellnitz M., Froyland G., Junge O. (2000) The algorithms behind GAIO-set
oriented numerical methods for dynamical systems. In this DANSE book volume",
year = "2000",
url = "citeseer.ist.psu.edu/article/dellnitz99algorithms.html" }
Citations (may not include all citations):55 A subdivision algorithm for the computation of unstable mani.. (context) - Dellnitz, Hohmann - 1997
52 the approximation of complicated dynamical behavior - Dellnitz, Junge - 1999
52 the approximation of complicated dynamical behavior - Dellnitz, Junge - 1999
40 Data Structures and Algorithms (context) - Mehlhorn - 1984
36 Dynamical Systems: Stability (context) - Robinson - 1995
24 The computation of unstable manifolds using subdivision and .. (context) - Dellnitz, Hohmann - 1996
18 volume 97 of Applied Mathematical Sciences (context) - Lasota, Mackey et al. - 1994
17 Computation of essential molecular dynamics by subdivision t.. - Deuflhard, Dellnitz et al. - 1998
14 Exploring Global Dynamics: A Numerical Algorithm Based on th.. (context) - Eidenschink - 1995
12 Finite approximation for the Frobenius-Perron operator (context) - Li - 1976
12 Finite approximation of Sinai-Bowen-Ruelle measures of Anoso.. - Froyland - 1995
10 Rigorous discretization of subdivision techniques - Junge
10 Mengenorientierte Methoden zur numerischen Analyse dynamisch.. (context) - Junge - 1999
10 Principle of averaging for parabolic and elliptic differenti.. (context) - Khas'minskii - 1963
9 The computation of an unstable invariant set inside a cylind.. - Dellnitz, Junge et al.
9 An adaptive method for the approximation of the generalized .. (context) - Guder, Dellnitz et al. - 1997
9 Finite approximations of Frobenius-Perron operators (context) - Ding, Zhou - 1996
8 volume 16 of Progress in Probability and Statistics (context) - Kifer, of - 1988
7 Geometric Methods for Discrete Dynamical Systems (context) - Easton - 1998
7 Symmetry of attractors and the KarhunenLo 'eve decomposition (context) - Dellnitz, Golubitsky et al. - 1994
7 Approximating physical invariant measures of mixing dynamica.. - Froyland - 1998
7 Conformational dynamics: Modelling (context) - Schutte - 1999
6 Stability of the spectrum for transfer operators - Keller, Liverani - 1998
4 the isolated spectrum of the Perron-Frobenius operator - Dellnitz, Froyland et al. - 1999
4 Stability of dynamical systems (context) - Zeeman - 1988
1 Adaptive refinement of the generalized cell mapping (context) - Guder, Kreuzer - 1998
1 Construction of attractors and filtrations (context) - Osipenko - 1999
1 first Proposition (context) - Elements
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On the estimation of invariant measures and Lyapunov exponents.. - Froyland (Correct)
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Extracting dynamical behaviour via Markov models - Froyland (Correct)
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