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

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 …

Since the original proposal of 1996 by Florı́a et al.[Europhys. Lett. 36, 539 (1996)] of intrinsic
localization in Josephson ladders, many efforts have been devoted to the theoretical …

We consider the existence and spectral stability of static multi-kink structures in the discrete
sine-Gordon equation, as a representative example of the family of discrete Klein–Gordon …

We present a study of nonlinear localized excitations called discrete breathers in a
superconducting array. These localized solutions were recently observed in Josephson …

We propose a method to excite and detect a rotor localized mode (rotobreather) in a
Josephson-junction array biased by dc currents. In our numerical studies of the dynamics we …

We study an integrable discretization of the nonlinear Schrödinger equation (NLS) under the
effects of damping and periodic driving, from the point of view of spatially localized solutions …

In the present chapter, we explore the possibility of a Frenkel-Kontorova (discrete sine-
Gordon) model to bear interactions that decay algebraically with space, inspired by the …

In the present chapter, we explore the possibility of a Frenkel-Kontorova (discrete sine-
Gordon) model to bear interactions that decay algebraically with space, inspired by the …

The synchronization of coupled oscillators is studied in the context of two distinct systems: a
one-dimensional array of Josephson junctions shunted by an RLC load and one-and two …