Results 21 to 30 of about 133,666 (191)

THE SYNTHESIS OF MATHEMATICAL MODELS OF NONLINEAR DYNAMIC SYSTEMS USING VOLTERRA INTEGRAL EQUATION

Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2022
The problem of creating mathematical models of nonlinear dynamical systems does not have an unambiguous solution and requires the creation of a separate synthesis method for each such object.
Borys Mokin, Vitalii Mokin, Oleksandr Mokin, Orken Mamyrbaev, Saule Smailova   +4 more
doaj   +1 more source

Deterministically Computing Reduction Numbers of Polynomial Ideals [PDF]

, 2014
We discuss the problem of determining reduction number of a polynomial ideal I in n variables. We present two algorithms based on parametric computations.
A. Conca, A. Galligo, A. Galligo, A. Hashemi, A. Montes, A. Montes, D. Bayer, D. Kapur, D. Northcott, E. Mayr, G.M. Greuel, H. Bresinsky, M. Green, N. Trung, N. Trung, N. Trung, V. Weispfenning, W. Seiler, W. Seiler, W. Vasconcelos, W. Vasconcelos   +20 more
core   +1 more source

Complexity of solving parametric polynomial systems [PDF]

Journal of Mathematical Sciences, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Design of Parametric Controller for Two-Dimensional Polynomial Systems Described by the Fornasini-Marchesini Second Model

IEEE Access, 2019
In this paper, a general parametric controller design method is presented for two-dimensional (2D) linear discrete systems described by the Fornasini-Marchesini second model.
Xiaoxue Li, Xiaorong Hou
doaj   +1 more source

Certifying isolated singular points and their multiplicity structure [PDF]

, 2015
This paper presents two new constructions related to singular solutions of polynomial systems. The first is a new deflation method for an isolated singular root.
A, Caprasse H., Traverso C., Yamamoto N.
core   +5 more sources

Approximate Analytical Methodology for the Restricted Three-Body and Four-Body Models Based on Polynomial Series

International Journal of Aerospace Engineering, 2016
The restricted three-body problem (R3BP) and restricted four-body problem (R4BP) are modeled based on the rotating frame. The conservative autonomous system for the R3BP and nonautonomous system with period parametric resonance due to the fourth body are
Ying-Jing Qian, Xiao-Dong Yang, Lei-Yu Yang, Wei Zhang   +3 more
doaj   +1 more source

Efficient Characterization of Parametric Uncertainty of Complex (Bio)chemical Networks. [PDF]

PLoS Computational Biology, 2015
Parametric uncertainty is a particularly challenging and relevant aspect of systems analysis in domains such as systems biology where, both for inference and for assessing prediction uncertainties, it is essential to characterize the system behavior ...
Claudia Schillings, Mikael Sunnåker, Jörg Stelling, Christoph Schwab   +3 more
doaj   +1 more source

On the local stability of semidefinite relaxations

, 2020
We consider a parametric family of quadratically constrained quadratic programs (QCQP) and their associated semidefinite programming (SDP) relaxations. Given a nominal value of the parameter at which the SDP relaxation is exact, we study conditions (and ...
Agarwal, Sameer, Cifuentes, Diego, Parrilo, Pablo A., Thomas, Rekha R.   +3 more
core   +1 more source

On deflation and multiplicity structure [PDF]

, 2016
This paper presents two new constructions related to singular solutions of polynomial systems. The first is a new deflation method for an isolated singular root. This construction uses a single linear differential form defined from the Jacobian matrix of
Hauenstein, Jonathan D., Mourrain, Bernard, Szanto, Agnes   +2 more
core   +4 more sources

Evolution of an Exponential Polynomial Family of Discrete Dynamical Systems

Mathematical and Computational Applications, 2019
In this paper, we introduce and analyze a family of exponential polynomial discrete dynamical systems that can be considered as functional perturbations of a linear dynamical system.
Francisco Solis
doaj   +1 more source