William D Kalies

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Konstantin MischaikowRutgers UniversityVerified email at math.rutgers.edu
Robert VandervorstVU UniversityVerified email at vu.nl
Marcio GameiroRutgers UniversityVerified email at math.rutgers.edu
Thomas WannerGeorge Mason UniversityVerified email at gmu.edu
Jaroslaw KwapiszProfessor of Mathematics, Montana State UniversityVerified email at math.montana.edu
Allen TannenbaumDistinguished Professor, Computer Science/Applied Mathematics, Stony Brook UniversityVerified email at stonybrook.edu
Marc NiethammerProfessor of Computer Science, UC San DiegoVerified email at cs.unc.edu
Peter W. VoorheesDepartment of Materials Science and Engineering, Northwestern University, Evanston ILVerified email at northwestern.edu
Scott BarnettProfessor of Materials Science, Northwestern UniversityVerified email at northwestern.edu
Emmanuelle TognoliResearch Professor - Complex Systems and Brain Sciences, Florida Atlantic UniversityVerified email at ccs.fau.edu
Mengsen ZhangAssistant Professor - CMSE, Michigan State UniversityVerified email at msu.edu
J A Scott KelsoFlorida Atlantic University, University of UlsterVerified email at fau.edu
Jay Mireles JamesFlorida Atlantic UniversityVerified email at fau.edu
Arnaud GoulletVerified email at njit.edu
Philip HolmesProfessor of Applied & Computational Mathematics, Princeton UniversityVerified email at math.princeton.edu
Bogdan BatkoJagiellonian UniversityVerified email at ii.uj.edu.pl
Ewerton Rocha VieiraPostdoc RutgerVerified email at ufg.br
Ying HungProfessor in Department of Statistics, RutgersVerified email at stat.rutgers.edu
Mohammed EslamiNetriasVerified email at netrias.com
michael schatzProfessor of Physics, Georgia TechVerified email at physics.gatech.edu

William D Kalies

University of Toledo

Verified email at utoledo.edu - Homepage

Dynamical Systems Computational Dynamics Computational Topology


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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	135	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	131	2009
An algorithmic approach to chain recurrence WD Kalies, K Mischaikow, RCAM Vandervorst Foundations of Computational Mathematics 5, 409-449, 2005	122	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	106	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	86	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	67	2004
Lattice structures for attractors I WD Kalies, K Mischaikow, RCAM Vandervorst arXiv preprint arXiv:1307.1737, 2013	50	2013
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	45	2000
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	44	2002
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 III WD Kalies, K Mischaikow, RCAM Vandervorst Journal of Dynamics and Differential Equations, 1-40, 2021	42	2021
Lattice structures for attractors II WD Kalies, K Mischaikow, RCAM Vandervorst Foundations of Computational Mathematics 16 (5), 1151-1191, 2016	42	2016
Cubical approximation and computation of homology W Kalies, K Mischaikow, G Watson Banach Center Publications 47 (1), 115-131, 1999	39	1999
Topological portraits of multiscale coordination dynamics M Zhang, WD Kalies, JAS Kelso, E Tognoli Journal of Neuroscience Methods 339, 108672, 2020	37	2020
Polygonal approximation of flows E Boczko, WD Kalies, K Mischaikow Topology and its Applications 154 (13), 2501-2520, 2007	37	2007
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	26	2018
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
Verified homology computations for nodal domains S Day, WD Kalies, T Wanner Multiscale Modeling & Simulation 7 (4), 1695-1726, 2009	26	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

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