We consider traveling wave solutions of bistable lattice differential equationswith repelling first neighbor and/or second neighbor interactions. Such equationsarise as prototypical discrete models of phase transitions. Traveling wave solutionsin this case correspond to heteroclinic connections between spatially periodic solutionsand in some cas...
Creator:
Van Vleck, Erik (University of Kansas)
Created:
2012-12-06
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk we present computational techniques for approximation ofLyapunov exponents based upon smooth matrix factorizations and some potential applications of these techniques to earth system processes. Lyapunov exponents characterize stability properties of time dependentsolutions to differential equations. We introduce methods for approxim...
Creator:
Van Vleck, Erik (University of Kansas)
Created:
2013-11-20
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.