233 citations · 803 across the 16 of their papers we have counts for
4 papers · 1 filter
Many-polaron states in the Holstein-Hubbard model
Laurent Proville, S. Aubry
A variational approach is proposed to determine some properties of the adiabatic Holstein-Hubbard model which describes the interactions between a static atomic lattice and an asse…
Standing wave instabilities in a chain of nonlinear coupled oscillators
Anna Maria Morgante, Magnus Johansson, Georgios Kopidakis +1
We consider existence and stability properties of nonlinear spatially periodic or quasiperiodic standing waves (SWs) in one-dimensional lattices of coupled anharmonic oscillators.…
Aspects of Discrete Breathers and New Directions
S. Aubry, G. Kopidakis
We describe results concerning the existence proofs of Discrete Breathers (DBs) in the two classes of dynamical systems with optical linear phonons and with acoustic linear phonons…
Analytic Conditions for Targeted Energy Transfer between Nonlinear Oscillators or Discrete Breathers
S. Aubry, G. Kopidakis, A. M. Morgante +1
It is well known that any amount of energy injected in a harmonic oscillator which is resonant and weakly coupled with a second harmonic oscillator, tunnels back and forth between…