Results 91 to 100 of about 1,301,854 (405)
Differential equations defined on algebraic curves [PDF]
arXiv, 2016 The class of ordinary linear constant coefficient differential equations is naturally embedded into a wider class by associating differential equations to algebraic curves.
arxiv
A Classification of First Order Differential Equations [PDF]
arXiv, 2023 Let $k$ be a differential field of characteristic zero with an algebraically closed field of constants. In this article, we provide a classification of first order differential equations over $k$ and study the algebraic dependence of solutions of a given first order differential equation.
arxiv
Differential Equations and Algebras
, 2023 A number of results have been obtained in the field of differential equations, invariant processes, generating functions and Hilbert series, Lie algebras and graded algebras, orbit theory and stability of unperturbed motion according to Lyapunov. Among these results can be mentioned the algebraic solution of the problem of the center and the focus ...
openaire +2 more sources
Edge of Chaos Theory Unveils the First and Simplest Ever Reported Hodgkin–Huxley Neuristor
Advanced Electronic Materials, EarlyView.This manuscript presents the first and simplest ever‐reported electrical cell, which leverages one memristor on Edge of Chaos to reproduce the three‐bifurcation cascade, marking the entire life cycle from birth to extinction via All‐to‐None effect of an electrical spike, also referred to as Action Potential, across axon membranes under monotonic ...
Alon Ascoli +12 more
wiley +1 more source
Algorithmic Reduction and Rational General Solutions of First Order Algebraic Differential Equations [PDF]
arXiv, 2005 First order algebraic differential equations are considered. An necessary condition for a first order algebraic differential equation to have a rational general solution is given: the algebraic genus of the equation should be zero. Combining with Fuchs' conditions for algebraic differential equations without movable critical point, an algorithm is ...
arxiv
Construction of Special Solutions for Nonintegrable Systems
, 2006 The Painleve test is very useful to construct not only the Laurent series solutions of systems of nonlinear ordinary differential equations but also the elliptic and trigonometric ones. The standard methods for constructing the elliptic solutions consist
Ablowitz M J +30 more
core +1 more source
European Control Conference, 2016 We consider the problems of stability, frequency restoration and optimal steady-state resource allocation in a heterogeneous and structure-preserving differential-algebraic equation (DAE) power system model.
Johannes Schiffer, F. Dörfler
semanticscholar +1 more source
Sustainable Thermal Solutions: Enhancing Heat Transfer with Turbulators and Nanofluids
Advanced Energy and Sustainability Research, EarlyView.Nanofluids, which are nanoparticle suspensions in base fluid, facilitate heat transmission due to their improved thermal conductivity. Turbulators, which are inserts into fluid flow channels, disturb the flow, increasing turbulence and hence the heat transfer rate.
Zafar Said +9 more
wiley +1 more source
Differential Fault and Algebraic Equation Combined Analysis on PICO
MathematicsIn modern information technology, research on block cipher security is imperative. Concerning the ultra lightweight block cipher PICO, there has been only one study focused on recovering its complete master key, with a large search space of 264, and no ...
Linxi Ding +4 more
doaj +1 more source
Double reductions and traveling wave structures of the generalized Pochhammer–Chree equation
Partial Differential Equations in Applied Mathematics, 2023 Symmetry methods are always very useful for discussing the classes of differential equation solutions. This article focuses on traveling wave structures of the generalized Pochhammer–Chree (PHC) equation.
A. Hussain +3 more
doaj