Nonlinear power spectral densities for the harmonic oscillator
نویسندگان
چکیده
منابع مشابه
Distances between power spectral densities
We present several natural notions of distance between spectral density functions of (discrete-time) random processes. They are motivated by certain filtering problems. First we quantify the degradation of performance of a predictor which is designed for a particular spectral density function and then used to predict the values of a random process having a different spectral density. The logari...
متن کاملProbabilistic global well-posedness for the supercritical nonlinear harmonic oscillator
— Thanks to an approach inspired from Burq-Lebeau [6], we prove stochastic versions of Strichartz estimates for Schrödinger with harmonic potential. As a consequence, we show that the nonlinear Schrödinger equation with quadratic potential and any polynomial nonlinearity is almost surely locally well-posed in L(R) for any d ≥ 2. Then, we show that we can combine this result with the high-low fr...
متن کاملSpectral Asymptotics of the Non-self-adjoint Harmonic Oscillator
We obtain an explicit asymptotic formula for the norms of the spectral projections of the non-self-adjoint harmonic oscillator H. We deduce that the spectral expansion of e−Ht is norm convergent if and only if t is greater than a certain explicit positive constant.
متن کاملSolution of strongly nonlinear oscillator problem arising in Plasma Physics with Newton Harmonic Balance Method
In this paper, Newton Harmonic Balance Method (NHBM) is applied to obtain the analytical solution for an electron beam injected into a plasma tube where the magnetic field is cylindrical and increases towards the axis in inverse proportion to the radius. Periodic solution is analytically verified and consequently the relation between the Natural Frequency and the amplitude is obtained in an ana...
متن کاملOptimal inequalities for the power, harmonic and logarithmic means
For all $a,b>0$, the following two optimal inequalities are presented: $H^{alpha}(a,b)L^{1-alpha}(a,b)geq M_{frac{1-4alpha}{3}}(a,b)$ for $alphain[frac{1}{4},1)$, and $ H^{alpha}(a,b)L^{1-alpha}(a,b)leq M_{frac{1-4alpha}{3}}(a,b)$ for $alphain(0,frac{3sqrt{5}-5}{40}]$. Here, $H(a,b)$, $L(a,b)$, and $M_p(a,b)$ denote the harmonic, logarithmic, and power means of order $p$ of two positive numbers...
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: Annals of Physics
سال: 2015
ISSN: 0003-4916
DOI: 10.1016/j.aop.2015.05.031