Results 41 to 50 of about 661,613 (288)
Automatic sequences as good weights for ergodic theorems
, 2018 We study correlation estimates of automatic sequences (that is, sequences computable by finite automata) with polynomial phases. As a consequence, we provide a new class of good weights for classical and polynomial ergodic theorems, not coming themselves
Eisner, Tanja, Konieczny, Jakub
core +2 more sources
Decomposing Polynomial Systems into Simple Systems
Journal of Symbolic Computation, 1998 A polynomial system \([P,Q]\) is a pair of multivariate polynomial sets \(P\) and \(Q\) and Zero \(([P,Q])\) is the set of all common zeros of the polynomials in \(P\) which are not zeros of any polynomial in \(Q\). Fixing an ordering to the variables, a simple system is a polynomial system ordered in triangular form, in which every polynomial is ...
openaire +1 more source
Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
Bifurcation of critical periods of a quintic system
Electronic Journal of Differential Equations, 2018 We investigate the critical period bifurcations of the system $$ \dot x = ix + x \bar x ( a x^3 + b x^2 \bar x + \bar x \bar x^2+d \bar x^3) $$ studied in [6].
Valery G. Romanovski +2 more
doaj
Modeling and Event-Triggered Output Feedback Control of Input-Affine Polynomial Systems
ModellingThis paper addresses periodic event-triggered output-feedback control (PETOFC) and event-triggered state-feedback control (ETSFC) for polynomial systems modeled by a linear-like representation with state-dependent coefficients.
Jinqi Zhang +3 more
doaj +1 more source
Analytic reducibility of nondegenerate centers: Cherkas systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper we study the center problem for polynomial differential systems and we prove that any center of an analytic differential system is analytically reducible.
Jaume Giné, Jaume Llibre
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Stability and Control of Power Systems using Vector Lyapunov Functions and Sum-of-Squares Methods
, 2015 Recently sum-of-squares (SOS) based methods have been used for the stability analysis and control synthesis of polynomial dynamical systems. This analysis framework was also extended to non-polynomial dynamical systems, including power systems, using an ...
Anghel, Marian, Kundu, Soumya
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Advanced Engineering Materials, EarlyView.It is shown that laser ablation pretreatment under oxygen‐free conditions enables copper–aluminium bonding at significantly lower deformation degrees and improved properties compared to mechanical brushing. Laser ablation further increases interface contact area and induces favourable residual stress states and microstructural compatibility ...
Khemais Barienti +11 more
wiley +1 more source
An Algebraic Approach to Identifiability
Algorithms, 2021 This paper addresses the problem of identifiability of nonlinear polynomial state-space systems. Such systems have already been studied via the input-output equations, a description that, in general, requires differential algebra.
Daniel Gerbet, Klaus Röbenack
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Orienting Transversals and Transition Polynomials of Multimatroids
, 2017 Multimatroids generalize matroids, delta-matroids, and isotropic systems, and transition polynomials of multimatroids subsume various polynomials for these latter combinatorial structures, such as the interlace polynomial and the Tutte-Martin polynomial.
Brijder, Robert
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