Results 31 to 40 of about 8,995,831 (132)

On Nonlinear Oscillations: Basins of Attraction, Harmonic Balance Solution Artifacts and Urabe's Existence Criterion for the Duffing Oscillator

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 4, April 2026.
ABSTRACT The Duffing oscillator is often considered as “the” prototype of a nonlinear oscillator as it exhibits many characteristic phenomena of nonlinear dynamics. One of these phenomena is the occurrence of multiple periodic solutions as considered here for the case of the harmonically excited slightly damped Duffing oscillator.
Hannes Dänschel, Lukas Lentz, Nils Gräbner, Utz von Wagner   +3 more
wiley   +1 more source

Pointwise universal consistency of nonparametric linear estimators [PDF]

, 2004
This paper presents sufficient conditions for pointwise universal consistency of nonparametric delta estimators.
Vidal-Sanz, José M.
core   +1 more source

Pointwise universal consistency of nonparametric density estimators. [PDF]

This paper presents sufficient conditions for pointwise universal consistency of nonparametric delta estimators and shows the application of these conditions for some classes of nonparametric estimators.Delta estimators; Pointwise approximation ...
Vidal-Sanz, Jose M.
core  

A note on some extremal problems for trigonometric polynomials [PDF]

n.a.
Dette, Holger, Melas, Viatcheslav B.
core  

Integrability of Multiple Trigonometric Series and Parseval′s Formula

, 1994
Let smn(x, y) denote the rectangular partial sums of the double trigonometric series with the coefficients cjk. We prove that if the cjk form a null sequence of bounded variation, then the improper Riemann integral of ƒ(x, y)φ(x, y) over [−π, π] × [−π, π]
Chen, C.P.
core   +1 more source

Expansions of Iterated Stratonovich Stochastic Integrals from the Taylor-Stratonovich Expansion, Based on Multiple Trigonometric Fourier Series. Comparison With the Milstein Expansion

, 2018
The article is devoted to comparison of the Milstein expansion of iterated Stratonovich stochastic integrals with the method of expansion of iterated stochastic integrals based on generalized multiple Fourier series. We consider some practical material connected with the expansions of iterated Stratonovich stochastic integrals from the Taylor ...
openaire   +2 more sources

Convergence properties of one and multidimensional trigonometric Fourier series

In this work, first of all, we study the convergence properties of one and multidimensional trigonometric Fourier series. It begins by discussing fundamental concepts such as vec- tor spaces, function spaces, and interpolation theorems.
Allauca Guananga , Steven Gerónimo
core  

Convergence almost everywhere of multiple Fourier series over cubes

, 2017
We study convergence almost everywhere of multiple trigonometric Fourier series over cubes defined on the d-dimensional torus Td. Weprovide a new approach which allows us to prove the novel interpolation estimates for the Carleson maximal operators ...
Mastyło, Mieczysław, Rodríguez Piazza, Luis   +1 more
core   +1 more source

Long Memory and Long Run Variation [PDF]

May 2008 A commonly used defining property of long memory time series is the power law decay of the autocovariance function. Some alternative methods of deriving this property are considered working from the alternate definition in terms of a fractional ...
Peter C.B. Phillips
core  

Strong convergence theorems for two-parameter Walsh-Fourier and trigonometric-Fourier series [PDF]

, 1996
The martingale Hardy space $H_p([0,1)^2)$ and the classical Hardy space $H_p(^2)$ are introduced. We prove that certain means of the partial sums of the two-parameter Walsh-Fourier and trigonometric-Fourier series are uniformly bounded operators from ...
Weisz, Ferenc
core