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 +4 more
doaj +1 more source
Defocus impact analysis on telescope wavefront reconstruction by scattering spot with parametric optimization technique [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2021 Subject of Research. Wavefront reconstruction by the known scattering spot intensity with parametric optimization is presented. The Zernike polynomial coefficients of the wave function expansion as optimization parameters are used.
Tatiana V. Ivanova +3 more
doaj +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
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
Mapping from parametric characteristics to generalized frequency response functions of nonlinear systems [PDF]
, 2008 Based on the parametric characteristic of the nth-order GFRF (Generalised Frequency Response Function) for nonlinear systems described by an NDE (nonlinear differential equation) model, a mapping function from the parametric characteristics to the GFRFs
Billings, S.A., Jing, X.J., Lang, Z.Q.
core +1 more source
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 +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 +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 +3 more
core +1 more source
On the determination of cusp points of 3-R\underline{P}R parallel manipulators [PDF]
, 2010 This paper investigates the cuspidal configurations of 3-RPR parallel manipulators that may appear on their singular surfaces in the joint space. Cusp points play an important role in the kinematic behavior of parallel manipulators since they make ...
Chablat, Damien +3 more
core +5 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