7 citations · 7 across the 1 of their papers we have counts for
3 papers
math.AP2021
Heteroclinic orbits for a system of amplitude equations for orthogonal domain walls
Boris Buffoni, Mariana Haragus, Gérard Iooss
Using a variational method, we prove the existence of heteroclinic solutions for a 6dimensional system of ordinary differential equations. We derive this system from the classical…
nlin.PS2020★ 7 cited
Patterns and quasipatterns from the superposition of two hexagonal lattices
Gérard Iooss, Alastair M Rucklidge
When two-dimensional pattern-forming problems are posed on a periodic domain, classical techniques (Lyapunov-Schmidt, equivariant bifurcation theory) give considerable information…
math.DS2005
Normal form for travelling kinks in discrete Klein-Gordon lattices
Gerard Iooss, Dmitry Pelinovsky
We study travelling kinks in the spatial discretizations of the nonlinear Klein--Gordon equation, which include the discrete lattice and the discrete sine--Gordon lattice. Th…