This material is based upon work supported by the National Science Foundation (NSF) under Grant Nos. DMS-0812800, DMS-1115408, and DMS - 1419047.


Any opinions, findings and conclusions or recomendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the NSF.

Preprints

● A. Hoffman, H.J. Hupkes, and E.S. Van Vleck,

``Multi-Dimensional Stability of Waves Traveling through Rectangular Lattices in Rational Directions,''

(2014) to appear in Transactions AMS. [ArXiv]


C. Lamb and E.S. Van Vleck,

``Neutral Mixed Type Functional Differential Equations,''

(2014) to appear in J. Dyn. Diff. Eqn. [PDF]


A. Hoffman, H.J. Hupkes, and E.S. Van Vleck,

``Traveling Waves Through Obstacles in Bistable Lattice Differential Equations,''

(2014) to appear in Memoirs AMS. [ArXiv]


H.J. Hupkes and E.S. Van Vleck,

``Traveling Waves for Complete Discretizations of Reaction Diffusion Systems,''

(2014) to appear in J. Dyn. Diff. Eqn. [PDF]


A. Vainchtein, E.S. Van Vleck, and A. Zhang,

``Propagation of Periodic Patterns in a Discrete Lattice with Competing Interactions,''

(2014) submitted. [PDF]


E.S. Van Vleck and A. Zhang,

``Competing Interactions and Traveling Waves in Lattice Differential Equations,''

(2013) submitted. [ArXiv]