Polygonal approximation of flowsErik Boczko; William D. Kalies; Konstantin Mischaikow · Topology and its Applications · 2007

A Computational Approach to Conley’s Decomposition TheoremBan, Hyunju; Kalies, William D. · Journal of Computational and Nonlinear Dynamics · 2006

Closed characteristics on singular energy levels of second-order Lagrangian systemsWilliam D. Kalies; Mark Wess · 2008

Rigorous Computation of the Global Dynamics of Integrodifference Equations with Smooth NonlinearitiesDay, Sarah; Kalies, William D. · SIAM Journal on Numerical Analysis · 2013

Analytic Continuation of Local (Un)Stable Manifolds with Rigorous Computer Assisted Error BoundsKalies, William D.; Kepley, Shane; Mireles James, J. D. · SIAM Journal on Applied Dynamical Systems · 2018

Slow motion in higher-order systems and Γ-convergence in one space dimensionWilliam D. Kalies; Robert C.A.M. VanderVorst; Thomas Wanner · 2001

Diffusive coupling, dissipation, and synchronizationJack K. Hale · Journal of Dynamics and Differential Equations · 1997

Random attractorsHans Crauel; Arnaud Debussche; Franco Flandoli · Journal of Dynamics and Differential Equations · 1997

Metastability in Chemotaxis ModelsA. B. Potapov; T. Hillen · Journal of Dynamics and Differential Equations · 2005

Homoclinic ShadowingBrian A. Coomes; Hüseyin Koçak; Kenneth J. Palmer · Journal of Dynamics and Differential Equations · 2005

Metric Invariants in Dynamical SystemsYunping Jiang · Journal of Dynamics and Differential Equations · 2005

Dissipation and Compact AttractorsJack K. Hale · Journal of Dynamics and Differential Equations · 2006

Surface Water Waves and TsunamisWalter Craig · Journal of Dynamics and Differential Equations · 2006

PrefaceLuis Caffarelli; Raul Manasevich; Hildebrando Rodrigues; Yingfei Yi · Journal of Dynamics and Differential Equations · 2006