Results 51 to 60 of about 324,196 (280)

Phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 4

open access: yesElectronic Journal of Differential Equations, 2019
We classify the phase portraits of quadratic polynomial differential systems having some relevant classic quartic algebraic curves as invariant algebraic curves, i.e. these curves are formed by orbits of the quadratic polynomial differential system.
Rebiha Benterki, Jaume Llibre
doaj  

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

open access: yesAdvanced 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

Limit Cycles of the Three-dimensional Quadratic Differential System via Hopf Bifurcation

open access: yesمجلة بغداد للعلوم
In this study, the quadratic 3-dimensional differential system is considered, in which the origin of the coordinate becomes the Hopf equilibrium point.
Aram A. Abddulkareem Abddulkareem   +2 more
doaj   +1 more source

Partial Information Differential Games for Mean-Field SDEs

open access: yes, 2016
This paper is concerned with non-zero sum differential games of mean-field stochastic differential equations with partial information and convex control domain.
Xiao, Hua, Zhang, Shuaiqi
core   +1 more source

Reduction Methods and Chaos for Quadratic Systems of Differential Equations [PDF]

open access: yesStudies in Applied Mathematics, 2015
We consider systems of differential equations with quadratic nonlinearities having applications for biochemistry and population dynamics, which may have a large dimension n. Due to the complexity of these systems, reduction algorithms play a crucial role in study of their large time behavior.
Vakulenko, S., Grigoriev, D., Weber, A.
openaire   +3 more sources

A Thermodynamic 3D Model for the Simulation of Diffusion‐Controlled Alloying Processes in Heterogeneous Material Structures

open access: yesAdvanced Engineering Materials, EarlyView.
A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer   +3 more
wiley   +1 more source

On solutions of certain compatible systems of quadratic trinomial Partial differential-difference equations

open access: yesМатематичні Студії
This paper has involved the use of a variety of variations of the Fermat-type equation $f^n(z)+g^n(z)=1$, where $n(\geq 2)\in\mathbb{N}$. Many researchers have demonstrated a keen interest to investigate the Fermat-type equations for entire and ...
R. Mandal, R. Biswas
doaj   +1 more source

Quadratic systems with a symmetrical solution

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2018
In this paper we study the existence and uniqueness of limit cycles for so-called quadratic systems with a symmetrical solution: \begin{equation*} \begin{split} \frac{dx(t)}{dt}& = P_2(x,y) \equiv a_{00}+a_{10}x+a_{01}y+a_{20}x^2+a_{11}xy+a_{02}y^2 ...
Andre Zegeling, Robert Kooij
doaj   +1 more source

Autonomous linear lossless systems

open access: yes, 2008
We define a lossless autonomous system as one having a quadratic differential form associated with it called an energy function, which is positive and which is conserved.
Rao, Shodhan, Rapisarda, Paolo
core   +1 more source

Characterization of Nitinol Produced by Laser Powder Bed Fusion for Mechanical Metamaterial Applications

open access: yesAdvanced Engineering Materials, EarlyView.
Stabilization of L‐PBF Ni50.7Ti49.3 under low‐cycle loading was investigated. Recoverable strain after cycling was dependent on the amount of applied load. Recovery ratio was 53.4% and 35.1% at intermediate and high load, respectively. The maximum total strain reached 10.3% at a high load of 1200 MPa.
Ondřej Červinek   +5 more
wiley   +1 more source

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