Results 31 to 40 of about 17,380,414 (202)

On The Two Dimensional Gierer-Meinhardt system with strong coupling [PDF]

open access: yes, 1999
We construct solutions with a single interior condensation point for the two-dimensional Gierer-Meinhardt system with strong coupling. The condensation point is located at a nondegenerate critical point of the diagonal part of the regular part
Winter, M, Wei, J
core   +6 more sources

Computational method for singularly perturbed delay differential equations with twin layers or oscillatory behaviour

open access: yesAin Shams Engineering Journal, 2015
In this paper, we have presented a computational method for solving singularly perturbed delay differential equations with twin layers or oscillatory behaviour. In this method, the original second order singularly perturbed delay differential equation is
D. Kumara Swamy   +3 more
doaj   +1 more source

Bifurcation diagrams for singularly perturbed system

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
We consider a singularly perturbed system where the fast dynamic of the unperturbed problem exhibits a trajectory homoclinic to a critical point.
Matteo Franca
doaj   +1 more source

The asymptotic solution of a singularly perturbed Cauchy problem for Fokker-Planck equation

open access: yesDiscrete and Continuous Models and Applied Computational Science, 2021
The asymptotic method is a very attractive area of applied mathematics. There are many modern research directions which use a small parameter such as statistical mechanics, chemical reaction theory and so on. The application of the Fokker-Planck equation
Mohamed A. Bouatta   +2 more
doaj   +1 more source

Bifurcation of Solution in Singularly Perturbed ODEs by Using Lyapunov Schmidt Reduction

open access: yesمجلة علوم ذي قار, 2019
This paper aims to study the bifurcation of solution in singularly perturbed ODEs:                                     the hypothesis                                                                                      the bifurcation of ...
A. H.Kamil, K. H. Yasir
doaj   +4 more sources

Higher-Order Energy Expansions and Spike Locations [PDF]

open access: yes, 2004
We consider the following singularly perturbed semilinear elliptic problem: (I)\left\{ \begin{array}{l} \epsilon^{2} \Delta u - u + f(u)=0 \ \ \mbox{in} \ \Omega, \\ u>0 \ \ \mbox{in} \ \ \Omega \ \ \mbox{and} \ \frac{\partial u}{\partial \nu}
Winter, M, Wei, J
core   +1 more source

CONSTRUCTION OF STABILITY AREAS FOR CONTROLLED SYSTEMS WITH PARAMETRIC AND DYNAMIC UNCERTAINTY

open access: yesСучасний стан наукових досліджень та технологій в промисловості, 2021
The subject of research in the article is sigularly perturbed controllable systems of differential equations containing terms with a small parameters on the right-hand side, which are not completely known, but only satisfy some constraints.
Alla Savranska, Oleksandr Denisenko
doaj   +1 more source

Euclidean Space Controllability Conditions for Singularly Perturbed Linear Systems with Multiple State and Control Delays

open access: yesAxioms, 2019
A singularly perturbed linear time-dependent controlled system with multiple point-wise delays and distributed delays in the state and control variables is considered.
Valery Y. Glizer
doaj   +1 more source

Mixed TiO2–SiO2 thin coatings for selective adsorption and sunlight‐powered photodegradation of cationic pollutants

open access: yesResponsive Materials, EarlyView.
Environmental pollution and water scarcity demand innovative purification methods. This study presents a sol‐gel approach to fabricate mixed silica–titania thin films joining photocatalytic activity with selective sorption capability. The films exhibit higher surface area, enhanced degradation of cationic and improved performance over bare titania ...
Andrea Lanfranchi   +13 more
wiley   +1 more source

Singularly Perturbed Modeling and LQR Controller Design for a Fuel Cell System

open access: yesEnergies, 2020
Modeling and control of proton-exchange membrane fuel cells (PEMFC) has become a very popular research topic lately due to the increasing use of renewable energy.
Kliti Kodra, Ningfan Zhong
doaj   +1 more source

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