Results 41 to 50 of about 70,439 (268)
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
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Some Further Results on the Reduction of Two-Dimensional Systems
Complexity, 2021 The reduction of two-dimensional systems plays an important role in the theory of systems, which is closely associated with the equivalence of the bivariate polynomial matrices.
Dongmei Li +3 more
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dynoGP: Deep Gaussian Processes for Dynamic System Identification
International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli +3 more
wiley +1 more source
Exploring Gröbner bases for practical problem-solving applications [PDF]
Computational Algorithms and Numerical DimensionsGröbner bases serve as a crucial theoretical cornerstone in contemporary (polynomial) ring theory. The development of Gröbner basis theory originated from efforts to address theoretical issues related to ideals in polynomial rings and to solve systems of
Hamed Farahani
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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
An Elimination Method for Polynomial Systems
Journal of Symbolic Computation, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Solving systems of polynomial equations [PDF]
IEEE Computer Graphics and Applications, 1994 Geometric and solid modelling deal with the representation and manipulation of physical objects. Currently most geometric objects are formulated in terms of polynomial equations, thereby reducing many application problems to manipulating polynomial systems. Solving systems of polynomial equations is a fundamental problem in these geometric computations.
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Solving Fuzzy Polynomial Equations Systems Using Wu’s Method [PDF]
پژوهشهای نظری و کاربردی هوش ماشینیIn this paper, we introduce a method grounded in Wu’s algorithm for determining real solutions of systems of fuzzy polynomial equations. We initially calculate the r-cuts of a fuzzy polynomial equations system and derive a parametric representation for ...
Hamed Farahani
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Advanced Engineering Materials, EarlyView.We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang +2 more
wiley +1 more source
AppliedMathThis paper presents a Maple implementation of an interval verification method for identifying isolated simple zeros in square polynomial systems. Compared to the known MATLAB (R2019b) implementation, the Maple-based approach achieves significantly higher
Xiaojie Dou, Jin-San Cheng, Junyi Wen
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