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Discrete breathers on symmetry-determined invariant manifolds for scalar models on the plane square lattice
Discrete breathers symmetry-determined invariant manifolds scalar models plane square lattice
2011/7/5
A group-theoretical approach for studying localized periodic and quasiperiodic vibrations in 2D
and 3D lattice dynamical models is developed. This approach is demonstrated for the scalar mod-
els on...
On non-multiaffine consistent around the cube lattice equations
Integrable lattice equations Yang-Baxter maps Consistency around the cube
2011/7/5
We show that integrable involutive maps, due to the fact they admit three integrals in separated
form, can give rise to equations which are consistent around the cube and which are not in the multiaf...