Results 21 to 30 of about 1,013 (219)
Stochastic Optimal Trajectory Generation via Multivariate Polynomial Chaos [PDF]
2018 AIAA Guidance, Navigation, and Control Conference, 2018 This thesis presents a framework that has been developed in order to compute stochastic optimal trajectories.
Whittle, Lisa, Sagliano, Marco
openaire +2 more sources
Pygpc: A sensitivity and uncertainty analysis toolbox for Python
SoftwareX, 2020 We present a novel Python package for the uncertainty and sensitivity analysis of computational models. The mathematical background is based on the non-intrusive generalized polynomial chaos method allowing one to treat the investigated models as black ...
Konstantin Weise +4 more
doaj +1 more source
Hyperchaotic Self-Oscillations of Two-Stage Class C Amplifier With Generalized Transistors
IEEE Access, 2021 This paper yields process of development, numerical analysis, lumped circuit modeling, and experimental verification of a new hyperchaotic oscillator based on the fundamental topology of two-stage amplifier.
Jiri Petrzela
doaj +1 more source
Applied Sciences, 2023 We investigated the stochastic response of a person sitting in a driving vehicle to quantify the impact of an uncertain parameter important in controlling defect reduction in terms of ride comfort.
Byoung-Gyu Song +2 more
doaj +1 more source
On the convergence of generalized polynomial chaos expansions [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2011 A number of approaches for discretizing partial differential equations with random data are based on generalized polynomial chaos expansions of random variables. These constitute generalizations of the polynomial chaos expansions introduced by Norbert Wiener to expansions in polynomials orthogonal with respect to non-Gaussian probability measures.
Oliver G. Ernst +3 more
openaire +1 more source
A Flexible Polynomial Expansion Method for Response Analysis with Random Parameters
Complexity, 2018 The generalized Polynomial Chaos Expansion Method (gPCEM), which is a random uncertainty analysis method by employing the orthogonal polynomial bases from the Askey scheme to represent the random space, has been widely used in engineering applications ...
Rugao Gao, Keping Zhou, Yun Lin
doaj +1 more source
Generalized 2D polynomial chaotic map and its application in information transmission
Tongxin xuebao, 2022 Existing chaotic systems have many defects in engineering applications, such as discontinuous chaotic parameter range, weak chaos, uneven output of chaotic sequences and dynamic degradation.Therefore, a generalized 2D polynomial chaotic mapping model was
Wenhao YAN +4 more
doaj +2 more sources
Algorithms, 2020 In this paper, we consider the effect of stochastic uncertainties on non-linear systems with chaotic behavior. More specifically, we quantify the effect of parametric uncertainties to time-averaged quantities and their sensitivities. Sampling methods for
Kyriakos Dimitrios Kantarakias +1 more
doaj +1 more source
Transformer Failure Rate Model Based on DDgPCE Method and Oil Chromatography Datadd
Journal of Harbin University of Science and Technology, 2023 As one of the important components in the power system, establishing its accurate failure rate model is a prerequisite for improving the operation and maintenance efficiency of the power system.
CHEN Li juan +6 more
doaj +1 more source
Performance Evaluation of Generalized Polynomial Chaos [PDF]
, 2003 In this paper we review some applications of generalized polynomial chaos expansion for uncertainty quantification. The mathematical framework is presented and the convergence of the method is demonstrated for model problems. In particular, we solve the first-order and second-order ordinary differential equations with random parameters, and examine the
Dongbin Xiu +3 more
openaire +1 more source