Results 31 to 40 of about 101 (97)

Bifurcation for non linear ordinary differential equations with singular perturbation

open access: yesElectronic Journal of Differential Equations, 2016
We study a family of singularly perturbed ODEs with one parameter and compare their solutions to the ones of the corresponding reduced equations. The interesting characteristic here is that the reduced equations have more than one solution for a ...
Safia Acher Spitalier, Rachid Bebbouchi
doaj  

Resurgent aspects of applied exponential asymptotics

open access: yesStudies in Applied Mathematics, Volume 152, Issue 3, Page 974-1025, April 2024.
Abstract In many physical problems, it is important to capture exponentially small effects that lie beyond‐all‐orders of an algebraic asymptotic expansion; when collected, the full asymptotic expansion is known as a trans‐series. Applied exponential asymptotics has been enormously successful in developing practical tools for studying the leading ...
Samuel Crew, Philippe H. Trinh
wiley   +1 more source

Fitted Numerical Scheme for Singularly Perturbed Convection‐Diffusion Equation with Small Time Delay

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
In this article, a uniformly convergent numerical scheme is developed to solve a singularly perturbed convection‐diffusion equation with a small delay having a boundary layer along the left side. A priori bounds of continuous solution and its derivatives are discussed.
Sisay Ketema Tesfaye   +4 more
wiley   +1 more source

Tracking Nonautonomous Attractors in Singularly Perturbed Systems of Odes with Dependence on the Fast Time

open access: yesJournal of Differential Equations
New results on the behaviour of the fast motion in slow-fast systems of ODEs with dependence on the fast time are given in terms of tracking of nonautonomous attractors. Under quite general assumptions, including the uniform ultimate boundedness of the solutions of the layer problems, inflated pullback attractors are considered.
Longo, Iacopo P.   +3 more
openaire   +4 more sources

Singularly perturbed dynamics of the tippedisk. [PDF]

open access: yesProc Math Phys Eng Sci, 2021
Sailer S, Leine RI.
europepmc   +1 more source

A stochastic numerical approach for a class of singular singularly perturbed system. [PDF]

open access: yesPLoS One, 2022
Sabir Z   +4 more
europepmc   +1 more source

A geometric analysis of the SIRS epidemiological model on a homogeneous network. [PDF]

open access: yesJ Math Biol, 2021
Jardón-Kojakhmetov H   +3 more
europepmc   +1 more source

Adaptive Technique for Solving 1-D Interface Problems of Fractional Order. [PDF]

open access: yesInt J Appl Comput Math, 2022
Al-Masaeed R, Maayah B, Abu-Ghurra S.
europepmc   +1 more source

Collective behavior and self-organization in neural rosette morphogenesis. [PDF]

open access: yesFront Cell Dev Biol, 2023
Miotto M   +8 more
europepmc   +1 more source

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