Three-dimensional analysis of solid oxide fuel cell Ni-YSZ anode interconnectivity JR Wilson, M Gameiro, K Mischaikow, W Kalies, PW Voorhees, ... Microscopy and Microanalysis 15 (1), 71-77, 2009 | 133 | 2009 |
A database schema for the analysis of global dynamics of multiparameter systems Z Arai, W Kalies, H Kokubu, K Mischaikow, H Oka, P Pilarczyk SIAM Journal on Applied Dynamical Systems 8 (3), 757-789, 2009 | 132 | 2009 |
An algorithmic approach to chain recurrence WD Kalies, K Mischaikow, RCAM Vandervorst Foundations of Computational Mathematics 5, 409-449, 2005 | 121 | 2005 |
Homotopy classes for stable connections between Hamiltonian saddle-focus equilibria WD Kalies, J Kwapisz, R VanderVorst Communications in Mathematical Physics 193, 337-371, 1998 | 110 | 1998 |
Multitransition homoclinic and heteroclinic solutions of the extended Fisher-Kolmogorov equation WD Kalies, R VanderVorst journal of differential equations 131 (2), 209-228, 1996 | 88 | 1996 |
A computational approach to Conley’s decomposition theorem H Ban, WD Kalies | 68 | 2006 |
Topological characterization of spatial-temporal chaos M Gameiro, K Mischaikow, W Kalies Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 70 (3 …, 2004 | 68 | 2004 |
Lattice structures for attractors I WD Kalies, K Mischaikow, RCAM Vandervorst arXiv preprint arXiv:1307.1737, 2013 | 47 | 2013 |
Analysis of blood vessel topology by cubical homology M Niethammer, AN Stein, WD Kalies, P Pilarczyk, K Mischaikow, ... Proceedings. International Conference on Image Processing 2, II-II, 2002 | 46 | 2002 |
Homotopy Classes for Stable Periodic and Chaotic¶ Patterns in Fourth-Order Hamiltonian Systems WD Kalies, J Kwapisz, JB VandenBerg, R VanderVorst Communications in Mathematical Physics 214, 573-592, 2000 | 46 | 2000 |
Rigorous computation of the global dynamics of integrodifference equations with smooth nonlinearities S Day, WD Kalies SIAM Journal on Numerical Analysis 51 (6), 2957-2983, 2013 | 43 | 2013 |
Lattice structures for attractors II WD Kalies, K Mischaikow, RCAM Vandervorst Foundations of Computational Mathematics 16 (5), 1151-1191, 2016 | 38 | 2016 |
Polygonal approximation of flows E Boczko, WD Kalies, K Mischaikow Topology and its Applications 154 (13), 2501-2520, 2007 | 38 | 2007 |
Lattice structures for attractors III WD Kalies, K Mischaikow, RCAM Vandervorst Journal of Dynamics and Differential Equations, 1-40, 2021 | 37 | 2021 |
Cubical approximation and computation of homology W Kalies, K Mischaikow, G Watson Banach Center Publications 47 (1), 115-131, 1999 | 37 | 1999 |
Topological portraits of multiscale coordination dynamics M Zhang, WD Kalies, JAS Kelso, E Tognoli Journal of Neuroscience Methods 339, 108672, 2020 | 34 | 2020 |
Efficient computation of Lyapunov functions for Morse decompositions A Goullet, S Harker, K Mischaikow, W Kalies, D Kasti Discrete Contin. Dyn. Syst. Ser. B 20 (8), 2418-2451, 2015 | 26 | 2015 |
Analytic continuation of local (un) stable manifolds with rigorous computer assisted error bounds WD Kalies, S Kepley, JD Mireles James SIAM Journal on Applied Dynamical Systems 17 (1), 157-202, 2018 | 25 | 2018 |
Verified homology computations for nodal domains S Day, WD Kalies, T Wanner Multiscale Modeling & Simulation 7 (4), 1695-1726, 2009 | 24 | 2009 |
Topological horseshoes of traveling waves for a fast–slow predator–prey system M Gameiro, T Gedeon, W Kalies, H Kokubu, K Mischaikow, H Oka Journal of Dynamics and Differential Equations 19, 623-654, 2007 | 24 | 2007 |