Rectangular Potentials in a Semi-Harmonic Background: Spectrum, Resonances and Dwell Time
نویسندگان
چکیده
منابع مشابه
The β-spectrum in presence of background potentials for neutrinos
We compute the spectrum of β-decay, assuming that (Majorana or Dirac) neutrinos propagate in constant potentials. We study the modifications of the spectrum due to the effect of these potentials. Data on tritium decay and on 3H–3He mass difference allow us to infer bounds in the electronvolts range on the potentials. We study the modifications of the electron spectrum in β-decay due to hypothet...
متن کاملVibration Analysis of a Nonlinear System with a Nonlinear Absorber under the Primary and Super-harmonic Resonances (TECHNICAL NOTE)
Abstract In vibratory systems, linear and nonlinear vibration absorbers can be used to suppress the primary and super-harmonic resonance responses. In this paper, the behavior of a nonlinear system with a nonlinear absorber, under the primary and super-harmonic resonances is investigated. The stiffnesses of the main system and the absorber are cubically nonlinear and the dampers are linear. M...
متن کاملResonances in long time integration of semi linear Hamiltonian PDEs
We consider a class of Hamiltonian PDEs that can be split into a linear unbounded operator and a regular non linear part, and we analyze their numerical discretizations by symplectic methods when the initial value is small in Sobolev norms. The goal of this work is twofold: First we show how standard approximation methods cannot in general avoid resonances issues, and we give numerical examples...
متن کاملDwell Time Refinement
The abstraction of a hybrid system by eliminating one or more of its continuous variables is in general too coarse. In this situation, dwell time refinement may be useful. The idea is to impose explicit constraints on the time that may resp. must be spent (or “dwelled”) between successive mode switches. We show how the required constraints can be inferred automatically (with acceptable cost). T...
متن کاملReal-time path planning using harmonic potentials in dynamic environments
Motivated by fluid analogies, artificial harmonic potentials can eliminate local m in ima problems in robot path planning. I n this paper, simple analytical solut ions t o planar harmonic potentials are derived using tools f r o m fluid mechanics, and are applied t o two-dimensional planning among multiple moving obstacles. These closed-form solutions enable real-time computation to be readily ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications
سال: 2011
ISSN: 1815-0659
DOI: 10.3842/sigma.2011.044