Results 61 to 70 of about 159,062 (288)
On a linear system of differential equations
Вестник КазНУ. Серия математика, механика, информатика, 2019 The linear systems of partial differential equations of the first order with the identical main parts is considered. Аpplying the well-known relation between a normal system of ordinary differential equations and a linear system of partial differential
T. М. Aldibekov, M. M. Aldazharova
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Anisotropic Bose-Einstein condensates and completely integrable dynamical systems
, 2002 A Gaussian ansatz for the wave function of two-dimensional harmonically trapped anisotropic Bose-Einstein condensates is shown to lead, via a variational procedure, to a coupled system of two second-order, nonlinear ordinary differential equations.
A. Görlitz +28 more
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Advanced Engineering Materials, EarlyView.Laser surface texturing significantly improves the corrosion resistance and mechanical strength of 3D‐printed iron polylactic acid (Ir‐PLA) for marine applications. Optimal laser parameters reduce corrosion by 80% and enhance tensile strength by 25% and ductility by 15%.
Mohammad Rezayat +6 more
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Instability of Turing patterns in reaction-diffusion-ODE systems
, 2016 The aim of this paper is to contribute to the understanding of the pattern formation phenomenon in reaction-diffusion equations coupled with ordinary differential equations.
Karch, Grzegorz +2 more
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Advanced 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
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Linearization: Geometric, Complex, and Conditional
Journal of Applied Mathematics, 2012 Lie symmetry analysis provides a systematic method of obtaining exact solutions of nonlinear (systems of) differential equations, whether partial or ordinary.
Asghar Qadir
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Investigation of dynamical systems using tools of the theory of invariants and projective geometry
, 1997 The investigation of nonlinear dynamical systems of the type $\dot{x}=P(x,y,z),\dot{y}=Q(x,y,z),\dot{z}=R(x,y,z)$ by means of reduction to some ordinary differential equations of the second order in the form $y''+a_1(x,y)y'^3+3a_2(x,y)y'^2+3a_3(x,y)y ...
Bordag, L. A., Dryuma, V. S.
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Taiwanese Journal of Mathematics, 2023 The author considers two-dimensional non-linear systems of ordinary differential equations in the form \begin{align*} u^\prime &= a(t) \left|v\right|^{\frac{1}{\alpha}} \text{sgn}\,v, \\ v^\prime &= -b(t) \left|u\right|^{{\alpha}} \text{sgn}\,u, \end{align*} where \(\alpha \in (0, \infty)\) is a constant, \(a, b\) are real-valued continuous functions ...
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Advanced Engineering Materials, EarlyView.This study explores the lightweight potential of laser additive‐manufactured NiTi triply periodic minimal surface sheet lattices. It systematically investigates the effects of relative density and unit cell size on surface quality, deformation recovery, compression behavior, and energy absorption.
Haoming Mo +3 more
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Advanced 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
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