Results 71 to 80 of about 908,506 (166)
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT We study asymptotic dynamics of Kuramoto oscillators with inertia and frustration using the classical perturbation theory of ordinary differential equation systems. Frustration also known as the phase‐lag poses challenges for the mathematical analysis of asymptotic dynamics due to the breakdown of total phase conservation and the gradient ...
Hangjun Cho +2 more
wiley +1 more source
An Algebraic Approach to Analyze an MSEIR Epidemic Model
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study introduces a fully algorithmic framework for analyzing the dynamics of an MSEIR (Maternal, Susceptible, Exposed, Infectious, Recovered) epidemic model. Unlike traditional approaches that rely on heuristic, model‐specific Lyapunov functions for global stability or manual algebraic manipulations for finding equilibria, we employ computational ...
Adamou Otto +3 more
wiley +1 more source
Computation in multivariate quaternionic polynomial ring
Le Matematiche, 2013 In this paper we study on division algorithm and Gröbner bases in the multivariate quaternionic polynomial ring.
Hiep Tuan Dang
doaj
Grobner Bases for Nonlinear DAE Systems of Analog Circuits [PDF]
Computer Science Journal of Moldova, 2008 Systems of differential equations play an important role in modelling and analysis of many complex systems e.g. in electronics and mechanics. The following article is concerned with a symbolic analysis approach for reduction of the differential index of ...
Silke J. Spang
doaj
Rewrite Rules and Simplification of Matrix Expressions [PDF]
Computer Science Journal of Moldova, 1996 This paper concerns the automated simplification of expressions which involve non-commuting variables. The technology has been applied to the simplification of matrix and operator theory expressions which arise in engineering applications.
John J Wavrik
doaj
Gröbner Bases of Modules over Reduction Rings
, 1993 Reduction rings are rings in which the Gröbner bases approach is possible, i.e., the Gröbner basis of an ideal in a reduction ring can be computed using Buchberger′s algorithm.
Stifter, S.
core +1 more source
Toric Rings and Ideals of Stable Set Polytopes
Mathematics, 2019 In the present paper, we study the normality of the toric rings of stable set polytopes, generators of toric ideals of stable set polytopes, and their Gröbner bases via the notion of edge polytopes of finite nonsimple graphs and the results on their
Kazunori Matsuda +2 more
doaj +1 more source
COMBOS2: an algorithm to the input–output equations of dynamic biosystems via Gaussian elimination
Journal of Taibah University for Science, 2020 Differential algebra (DA) methods are currently being exploited for analyzing dynamic biosystem models for their structural identifiability (SI) properties. An early step in this approach entails finding an equivalent input–output (I/O) model.
Ali Kalami Yazdi +2 more
doaj +1 more source
, 2018 Yazılan bu yüksek lisans tezi, temel olarak, Gröbner-Shirshov tabanları anlatmakta ve bu tabanlar için bir takım örneklemeler sunmaktadır. İlgili bölümde de anlatılacağı üzere, Gröbner-Shirshov tabanlar ele aldığımız cebirsel ifadenin sunuşundan elde ...
Erdem, Emrecan
core
A message recovery attack on multivariate polynomial trapdoor function. [PDF]
PeerJ Comput Sci, 2023 Ali R +4 more
europepmc +1 more source