[图书][B] Spectral and dynamical stability of nonlinear waves
T Kapitula, K Promislow - 2013 - Springer
The stability of nonlinear waves has a distinguished history and an abundance of richly
structured yet accessible examples, which makes it not only an important subject but also an …
structured yet accessible examples, which makes it not only an important subject but also an …
Nonlinear dispersion properties of one-dimensional mechanical metamaterials with inertia amplification
Architected metamaterials offering superior dynamic performances can be conceived by
inducing local mechanisms of inertia amplification in the periodic microstructure. A one …
inducing local mechanisms of inertia amplification in the periodic microstructure. A one …
On the spectra of periodic waves for infinite-dimensional Hamiltonian systems
M Haˇraˇguş, T Kapitula - Physica D: Nonlinear Phenomena, 2008 - Elsevier
We consider the problem of determining the spectrum for the linearization of an infinite-
dimensional Hamiltonian system about a spatially periodic traveling wave. By using a Bloch …
dimensional Hamiltonian system about a spatially periodic traveling wave. By using a Bloch …
Stability of small periodic waves for the nonlinear Schrödinger equation
The nonlinear Schrödinger equation possesses three distinct six-parameter families of
complex-valued quasiperiodic traveling waves, one in the defocusing case and two in the …
complex-valued quasiperiodic traveling waves, one in the defocusing case and two in the …
Of bulk and boundaries: Generalized transfer matrices for tight-binding models
We construct a generalized transfer matrix corresponding to noninteracting tight-binding
lattice models, which can subsequently be used to compute the bulk bands as well as the …
lattice models, which can subsequently be used to compute the bulk bands as well as the …
Orbital stability of periodic waves for the nonlinear Schrödinger equation
T Gallay, M Hǎrǎgus - Journal of dynamics and Differential Equations, 2007 - Springer
The nonlinear Schrödinger equation has several families of quasi-periodic traveling waves,
each of which can be parametrized up to symmetries by two real numbers: the period of the …
each of which can be parametrized up to symmetries by two real numbers: the period of the …
Analytical spectral design of mechanical metamaterials with inertia amplification
Functional metamaterials offering superior dynamic performances can be conceived by
introducing local mechanisms of inertia amplification in the periodic microstructure of cellular …
introducing local mechanisms of inertia amplification in the periodic microstructure of cellular …
[HTML][HTML] Multifield nested metafilters for wave propagation control
The present work proposes a novel class of multifield nested tunable metadevices that serve
as high performance acoustic metafilters. The designed metafilter is characterized by a …
as high performance acoustic metafilters. The designed metafilter is characterized by a …
Elliptic solutions of the defocusing NLS equation are stable
The stability of the stationary periodic solutions of the integrable (one-dimensional, cubic)
defocusing nonlinear Schrödinger (NLS) equation is reasonably well understood, especially …
defocusing nonlinear Schrödinger (NLS) equation is reasonably well understood, especially …
Variational-asymptotic homogenization of thermoelastic periodic materials with thermal relaxation
A multi-scale variational-asymptotic homogenization method for periodic microstructured
materials in presence of thermoelasticity with periodic spatially dependent one relaxation …
materials in presence of thermoelasticity with periodic spatially dependent one relaxation …