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Robust Design of Slow-Light Tapers in Periodic Waveguides
robust optimization PDE-constrained optimization shape optimization coupling taper
2015/7/9
This paper concerns the design of tapers for coupling power between uniform and slow-light periodic waveguides. New optimization methods are described for designing robust tapers, which not only perfo...
Wannier functions analysis of the nonlinear Schrödinger equation with a periodic potential
Walter's function nonlinear schrodinger equation periodic vector lattice
2014/12/29
In the present paper we use the Wannier function basis to construct lattice approximations of the nonlinear Schrödinger equation with a periodic potential. We show that the nonlinear Schrödi...
Breathers on a background: periodic and quasiperiodic solutions of extended discrete nonlinear wave systems
Discrete nonlinear wave equation the discrete sine Gordon a discrete nonlinear schrodinger equation the periodic oscillation kink
2014/12/29
In this paper we investigate the emergence of time-periodic and time quasiperiodic (sometimes infinitely long-lived and sometimes very long-lived or metastable) solutions of discrete nonlinear wave eq...
On some classes of mKdV periodic solutions
Vries mKdV equations show that the dynamic stability of the lattice the numerical simulation of the lattice to breathe
2014/12/29
We obtain exact periodic solutions of the positive and negative modified Kortweg–de Vries (mKdV) equations. We examine the dynamical stability of these solitary wave lattices through direct numerical ...
Solitary waves under the competition of linear and nonlinear periodic potentials
The linear and nonlinear lattice bright solitons dynamics
2014/12/25
In this paper, we study the competition of the linear and nonlinear lattices and its effects on the stability and dynamics of bright solitary waves. We consider both lattices in a perturbative framewo...
Periodic oscillations of dark solitons in parabolic potentials
Parabola discrete dynamical system Hermite function
2014/12/25
We reformulate the Gross–Pitaevskii equation with an external parabolic potential as a discrete dynamical system, by using the basis of Hermite functions. We consider small amplitude stationary soluti...
Matter-wave solitons with a periodic, piecewise-constant scattering length
Scattering collision uneven condensate spatial modulation nonlinear schrodinger equation
2014/12/25
Motivated by recent proposals of “collisionally inhomogeneous” Bose-Einstein condensates (BECs), which have a spatially modulated scattering length, we study the existence and stability properties of ...
Highly nonlinear solitary waves in periodic dimer granular chains
Nonlinear solitary wave the numerical simulation the heavy particles Hertz
2014/12/25
We investigate the propagation of highly nonlinear solitary waves in heterogeneous, periodic granular media using experiments, numerical simulations, and theoretical analysis. We examine periodic arra...
Highly nonlinear solitary waves in heterogeneous periodic granular media
Numerical simulation of highly nonlinear solitary wave dimer and trimer one-dimensional particle lattice structure
2014/12/24
We use experiments, numerical simulations, and theoretical analysis to investigate the propagation of highly nonlinear solitary waves in periodic arrangements of dimer (two-mass) and trimer (three-mas...
On the orders of periodic diffeomorphisms of 4-manifolds
Smooth smooth and round action constant
2014/12/24
This paper initiated an investigation on the following question: Suppose that a smooth 4 -manifold does not admit any smooth circle actions. Does there exist a constant C>0 such that the manifold supp...
Optimal Periodic Sensor Scheduling in Large-Scale Dynamical Networks
Dynamic system state estimation sensor scheduling sparsity sensor networks
2013/6/14
We consider the problem of finding optimal time-periodic sensor schedules for estimating the state of a large-scale dynamical system. We assume that a large number of sensors have been deployed and th...
Infinite-dimensional Bayesian filtering for detection of quasi-periodic phenomena in spatio-temporal data
Infinite-dimensional Bayesian filtering detection of quasi-periodic phenomena spatio-temporal data
2013/4/27
This paper introduces a spatio-temporal resonator model and an inference method for detection and estimation of nearly periodic temporal phenomena in spatio-temporal data. The model is derived as a sp...
Wavelet Deconvolution in a Periodic Setting with Long-Range Dependent Errors
Besov Spaces Deconvolution fractional Brownian motion Long-Range Dependence Maxiset theory Wavelet Analysis
2012/9/17
In this paper, a hard thresholding wavelet estimator is constructed for a deconvolution model in a periodic setting that has long-range dependent noise. The estimation paradigm is based on a maxiset m...
Estimating discontinuous periodic signals in a non-time homogeneous diffusion process
diffusions inhomogeneity in time discontinuous signal periodicity limit theorems likelihood ratio processes
2010/3/19
We consider a diffusion (t)t0 with some T -periodic time dependent input term contained in the drift: under an unknown parameter # 2 , some discontinuity – an additional periodic signal – occurs at...
Estimation of the periodic function in the multiplicative intensity model
Estimation of the periodic function the multiplicative intensity model
2009/9/24
Estimation of the periodic function in the multiplicative intensity model。