We consider the classical dynamics of a particle in a one-dimensional space-periodic potential U(X) = U(X+2pi) under the influence of a time-periodic space-homogeneous external field E(t) = E(t+T).â€¦ (More)

Physical review. E, Statistical physics, plasmasâ€¦

1995

We consider time-periodic nonlinear localized excitations (NLEs) on one-dimensional translationally invariant Hamiltonian lattices with arbitrary finite interaction range and arbitrary finite numberâ€¦ (More)

Physical review. E, Statistical physics, plasmasâ€¦

1994

Conditions on the existence of localized excitations in nonlinear discrete systems. ABSTRACT We use recent results that localized excitations in nonlinear Hamiltonian lattices can be viewed andâ€¦ (More)

Physical review. E, Statistical physics, plasmasâ€¦

1994

We analyze the origin and features of localized excitations in a discrete two-dimensional Hamiltonian lattice. The lattice obeys discrete translational symmetry, and the localized excitations existâ€¦ (More)

Physical review. E, Statistical physics, plasmasâ€¦

1995

We present a numerical method for obtaining high-accuracy numerical solutions of spatially localized time-periodic excitations on a nonlinear Hamilto-nian lattice. We compare these results withâ€¦ (More)

We analyze the classical and quantum properties of the integrable dimer problem. The classical version exhibits exactly one bifurcation in phase space, which gives birth to permutational symmetryâ€¦ (More)

Physical review. E, Statistical physics, plasmasâ€¦

1996

We present a perturbation theory of kink solutions of discrete Klein-Gordon chains. The un-perturbed solutions correspond to the kinks of the adjoint partial differential equation. The perturbationâ€¦ (More)

We analyze the effect of internal degrees of freedom on the movability properties of localized excitations on nonlinear Hamiltonian lattices by means of properties of a local phase space which is atâ€¦ (More)