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William D. Kalies - Publications

Affiliations: 
Florida Atlantic University, Boca Raton, FL, United States 
Area:
Mathematics

23 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Zhang M, Kalies WD, Kelso JAS, Tognoli E. Topological portraits of multiscale coordination dynamics. Journal of Neuroscience Methods. 108672. PMID 32151601 DOI: 10.1016/J.Jneumeth.2020.108672  0.424
2018 Kalies WD, Kasti D, Vandervorst RCAM. An Algorithmic Approach to Lattices and Order in Dynamics Siam Journal On Applied Dynamical Systems. 17: 1617-1649. DOI: 10.1137/17M1139606  0.393
2018 Kalies WD, Kepley S, James JDM. Analytic continuation of local (un)stable manifolds with rigorous computer assisted error bounds Siam Journal On Applied Dynamical Systems. 17: 157-202. DOI: 10.1137/17M1135888  0.397
2016 Fontaine M, Kalies W, Naudot V. Chaos near a resonant inclination-flip Physica D: Nonlinear Phenomena. 334: 141-157. DOI: 10.1016/J.Physd.2016.06.009  0.402
2015 Kalies WD, Mischaikow K, Vandervorst RCAM. Lattice Structures for Attractors II Foundations of Computational Mathematics. DOI: 10.3934/Jcd.2014.1.307  0.457
2015 Goullet A, Harker S, Mischaikow K, Kalies WD, Kasti D. Efficient computation of Lyapunov functions for morse decompositions Discrete and Continuous Dynamical Systems - Series B. 20: 2419-2451. DOI: 10.3934/Dcdsb.2015.20.2419  0.525
2013 Day S, Kalies WD. Rigorous Computation of the Global Dynamics of Integrodifference Equations with Smooth Nonlinearities Siam Journal On Numerical Analysis. 51: 2957-2983. DOI: 10.1137/120903129  0.509
2009 Day S, Kalies WD, Wanner T. Verified Homology Computations for Nodal Domains Multiscale Modeling & Simulation. 7: 1695-1726. DOI: 10.1137/080735722  0.471
2009 Arai Z, Kalies W, Kokubu H, Mischaikow K, Oka H, Pilarczyk P. A database schema for the analysis of global dynamics of multiparameter systems Siam Journal On Applied Dynamical Systems. 8: 757-789. DOI: 10.1137/080734935  0.479
2008 Kalies WD, Wess M. Closed characteristics on singular energy levels of second-order Lagrangian systems Journal of Differential Equations. 244: 555-581. DOI: 10.1016/J.Jde.2007.10.027  0.607
2007 Day S, Kalies WD, Mischaikow K, Wanner T. Probabilistic and numerical validation of homology computations for nodal domains Electronic Research Announcements of the American Mathematical Society. 13: 60-73. DOI: 10.1090/S1079-6762-07-00175-8  0.482
2007 Boczko E, Kalies WD, Mischaikow K. Polygonal approximation of flows Topology and Its Applications. 154: 2501-2520. DOI: 10.1016/J.Topol.2006.04.033  0.391
2007 Gameiro M, Gedeon T, Kalies W, Kokubu H, Mischaikow K, Oka H. Topological horseshoes of traveling waves for a fast-slow predator-prey system Journal of Dynamics and Differential Equations. 19: 623-654. DOI: 10.1007/S10884-006-9013-6  0.33
2006 Niethammer M, Kalies WD, Mischaikow K, Tannenbaum A. On the detection of simple points in higher dimensions using cubical homology. Ieee Transactions On Image Processing : a Publication of the Ieee Signal Processing Society. 15: 2462-9. PMID 16900699 DOI: 10.1109/Tip.2006.877309  0.327
2006 Ban H, Kalies WD. A computational approach to conley's decomposition theorem Journal of Computational and Nonlinear Dynamics. 1: 312-319. DOI: 10.1115/1.2338651  0.45
2005 Kalies WD, Mischaikow K, VanderVorst RCAM. An algorithmic approach to chain recurrence Foundations of Computational Mathematics. 5: 409-449. DOI: 10.1007/S10208-004-0163-9  0.52
2004 Gameiro M, Mischaikow K, Kalies W. Topological characterization of spatial-temporal chaos. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 70: 035203. PMID 15524574 DOI: 10.1103/Physreve.70.035203  0.315
2004 Kalies WD, VanderVorst RCAM. Closed characteristics of second-order Lagrangians Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 134: 143-158. DOI: 10.1017/S0308210500003127  0.47
2001 Kalies WD, VanderVorst RCAM, Wanner T. Slow motion in higher-order systems and G-convergence in one space dimension Nonlinear Analysis-Theory Methods & Applications. 44: 33-57. DOI: 10.1016/S0362-546X(99)00245-X  0.416
2000 Kalies WD, Kwapisz J, VandenBerg JB, VanderVorst RCAM. Homotopy Classes for Stable Periodic and Chaotic¶Patterns in Fourth-Order Hamiltonian Systems Communications in Mathematical Physics. 214: 573-592. DOI: 10.1007/Pl00005537  0.383
1999 Kalies W, Mischaikow K, Watson G. Cubical approximation and computation of homology Banach Center Publications. 47: 115-131. DOI: 10.4064/-47-1-115-131  0.447
1998 Kalies WD, Kwapisz J, VanderVorst RCAM. Homotopy Classes for Stable Connections between Hamiltonian Saddle-Focus Equilibria Communications in Mathematical Physics. 193: 337-371. DOI: 10.1007/S002200050332  0.392
1997 Kalies WD. On the asymptotic behavior of a phase-field model for elastic phase transitions Journal of Dynamics and Differential Equations. 9: 289-306. DOI: 10.1007/Bf02219224  0.323
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