Nonlinear classical Hamiltonian lattices exhibit generic solutions—discrete breathers. They
are time-periodic and (typically exponentially) localized in space. The lattices have discrete …

Nonlinear classical Hamiltonian lattices exhibit generic solutions in the form of discrete
breathers. These solutions are time-periodic and (typically exponentially) localized in space …

It has been proved by the principle of anti-integrable limit (renamed here anti-continuous
limit) and the implicit function theorem that, under rather weak hypotheses, there exist …

Localizing Energy Through Nonlinearity and Discreteness | Physics Today | AIP Publishing Skip
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In this paper we review a number of recent developments in the study of the Discrete
Nonlinear Schrödinger (DNLS) equation. Results concerning ground and excited states …

We propose a simple, novel mechanism for inducing highly selective and efficient energy
transfer and focusing in certain discrete nonlinear systems. Under a precise condition of …

The evolution towards equipartition in the β-FPU chain is studied considering as initial
condition the highest frequency mode. Above an analytically derived energy threshold, this …

We present a partial review of results concerning the theory of Discrete Breathers in
nonlinear hamiltonian and discrete systems. These special time-periodic solutions gained …

Two classes of one-dimensional nonintegrable systems represented by the Fermi-Pasta-
Ulam (FPU) model and the discrete φ 4 model are studied to seek a generic mechanism of …

Computing in Nonlinear Media and Automata Collectives presents an account of new ways
to design massively parallel computing devices in advanced mathematical models, such as …