Multibreathers in Klein–Gordon chains with interactions beyond nearest neighbors
We study the existence and stability of multibreathers in Klein–Gordon chains with
interactions that are not restricted to nearest neighbors. We provide a general framework …
interactions that are not restricted to nearest neighbors. We provide a general framework …
On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice
We consider a one-dimensional discrete nonlinear Schrödinger (dNLS) model featuring
interactions beyond nearest neighbors. We are interested in the existence (or nonexistence) …
interactions beyond nearest neighbors. We are interested in the existence (or nonexistence) …
On the nonexistence of degenerate phase-shift multibreathers in Klein–Gordon models with interactions beyond nearest neighbors
In this work, we study the existence of, low amplitude, phase-shift multibreathers for small
values of the linear coupling in Klein–Gordon chains with interactions beyond the classical …
values of the linear coupling in Klein–Gordon chains with interactions beyond the classical …
On the continuation of degenerate periodic orbits via normal form: full dimensional resonant tori
T Penati, M Sansottera, V Danesi - Communications in Nonlinear Science …, 2018 - Elsevier
We reconsider the classical problem of the continuation of degenerate periodic orbits in
Hamiltonian systems. In particular we focus on periodic orbits that arise from the breaking of …
Hamiltonian systems. In particular we focus on periodic orbits that arise from the breaking of …
On the continuation of degenerate periodic orbits via normal form: Lower dimensional resonant tori
We consider the classical problem of the continuation of periodic orbits surviving to the
breaking of invariant lower dimensional resonant tori in nearly integrable Hamiltonian …
breaking of invariant lower dimensional resonant tori in nearly integrable Hamiltonian …
Low dimensional completely resonant tori in Hamiltonian Lattices and a Theorem of Poincaré
We present an extension of a classical result of Poincaré (1892) about continuation of
periodic orbits and breaking of completely resonant tori in a class of nearly integrable …
periodic orbits and breaking of completely resonant tori in a class of nearly integrable …
Sine-gordon equation: From discrete to continuum
M Chirilus-Bruckner, C Chong… - The sine-Gordon Model …, 2014 - Springer
In the present chapter, we consider two prototypical Klein–Gordon models: the integrable
sine-Gordon equation and the non-integrable ϕ 4 model. We focus, in particular, on two of …
sine-Gordon equation and the non-integrable ϕ 4 model. We focus, in particular, on two of …
Revisiting multi-breathers in the discrete Klein–Gordon equation: a spatial dynamics approach
We consider the existence and spectral stability of multi-breather structures in the discrete
Klein–Gordon equation, both for soft and hard symmetric potentials. To obtain analytical …
Klein–Gordon equation, both for soft and hard symmetric potentials. To obtain analytical …
[HTML][HTML] Some exact solutions of a hyperbolic model of energy transmission in non-homogeneous media
JE Macías-Díaz, H Vargas-Rodríguez - Journal Of Computational And …, 2019 - Elsevier
In this note, we investigate the existence of exact solutions of a nonlinear partial differential
equation with time-dependent coefficients that generalizes the well-known nonlinear wave …
equation with time-dependent coefficients that generalizes the well-known nonlinear wave …
Periodic and quasi-periodic orbits in nearly integrable Hamiltonian systems
V Danesi - 2021 - air.unimi.it
The study of periodic and quasi-periodic orbits in nearly integrable Hamiltonian systems is a
long standing and challenging problem, that dates back to Poincaré. Quoting Poincaré, they …
long standing and challenging problem, that dates back to Poincaré. Quoting Poincaré, they …