Results 61 to 70 of about 19,649 (184)

Singularly perturbed stochastic systems [PDF]

Ukrainian Mathematical Journal, 1997
Summary: Problems of the singular perturbation of reducible invertible operators are classified and their applications to the analysis of stochastic Markov systems represented by random evolutions are considered. The phase merging, averaging, and diffusion approximation schemes are discussed for dynamical systems with rapid Markov switchings.
openaire   +3 more sources

Optimal Placement of Solar PV Using Time‐Series Load Flow Analysis and Diurnal Load Factor in High‐Voltage Distribution Network

International Transactions on Electrical Energy Systems, Volume 2026, Issue 1, 2026.
In the midst of rapid growth in the power sector, there is a pressing need to address increasing load demands and the introduction of additional electrical vehicle‐related loads. Renewable energy resources, particularly solar photovoltaics (PVs), emerge as crucial allies in meeting the rising electricity requirements. However, integrating solar PV into
Muthuveerappan S., Dhayalini K., Jagabar Sathik M., Youcef Belkhier   +3 more
wiley   +1 more source

Solving singularly perturbed differential equations in intuitionistic fuzzy environment

Ain Shams Engineering Journal
In this paper, we introduce and study singularly perturbed intuitionistic fuzzy initial value and boundary value problems. We develop a method based on the intuitionistic fuzzy version of Zadeh's extension principle to compute (α,β)-cuts for solutions to
Selami Bayeğ
doaj   +1 more source

The existence, uniqueness and asymptotic estimates of solutions for third-order full nonlinear singularly perturbed vector boundary value problems

Boundary Value Problems, 2020
In this paper, we discuss third-order full nonlinear singularly perturbed vector boundary value problems. We first present the existence of solutions for the nonlinear vector boundary value problems without perturbation by using the upper and lower ...
Xiaojie Lin, Jiang Liu, Can Wang
doaj   +1 more source

Chaotic oscillations in singularly perturbed FitzHugh-Nagumo systems

, 2013
We consider the singularly perturbed limit of periodically excited two-dimensional FitzHugh-Nagumo systems. We show that the dynamics of such systems are essentially governed by an one-dimensional map and present a numerical scheme to accurately compute ...
Barbosa, Peterson T. C., Saa, Alberto
core   +1 more source

Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability

Studies in Applied Mathematics, Volume 155, Issue 5, November 2025.
ABSTRACT In this paper, we analyze the dynamics of a pattern‐forming system close to simultaneous Turing and Turing–Hopf instabilities, which have a 1:1 spatial resonance, that is, they have the same critical wave number. For this, we consider a system of coupled Swift–Hohenberg equations with dispersive terms and general, smooth nonlinearities.
Bastian Hilder, Christian Kuehn
wiley   +1 more source

Numerical Treatment of Singularly Perturbed Two-Point Boundary Value Problems by Using Differential Transformation Method

Discrete Dynamics in Nature and Society, 2012
Differential transform method is adopted, for the first time, for solving linear singularly perturbed two-point boundary value problems. Four numerical examples are given to demonstrate the effectiveness of the present method.
Nurettin Doğan, Vedat Suat Ertürk, Ömer Akın   +2 more
doaj   +1 more source

$N$-widths for singularly perturbed problems [PDF]

Mathematica Bohemica, 2002
Summary: Kolmogorov \(N\)-widths are an approximation theory concept that, for a given problem, yields information about the optimal rate of convergence attainable by any numerical method applied to that problem. We survey sharp bounds recently obtained for the \(N\)-widths of certain singularly perturbed convection-diffusion and reaction-diffusion ...
Stynes, Martin, Bruce Kellogg, R.
openaire   +1 more source

Observation of Magnetic Pseudogap Behavior in Phosphorus‐Doped Silicon

Advanced Science, Volume 12, Issue 39, October 20, 2025.
Phosphorus‐doped silicon presents a promising platform for quantum computing and hosts a Kondo condensate state featuring a pseudogap. Thermodynamic and magnetic resonance measurements reveal that this pseudogap behavior involves critical spin fluctuations, suggesting that overlapping Kondo clouds form a correlated coherent magnetic ground state ...
Suheon Lee, Sangeun Cho, Yongcheol Jo, Wonjun Lee, Jae Min Kim, Hong Gu Lee, Yugo Oshima, Taku Matsushita, Hiroki Ikegami, Jonas A. Krieger, Christoper Baines, Thomas J. Hicken, Hubertus Luetkens, Eundeok Mun, Jungseek Hwang, Hyunsik Im, Kwang‐Yong Choi   +16 more
wiley   +1 more source

Current Practices for Analyzing Soils and Sediments via Mössbauer Spectroscopy

Journal of Plant Nutrition and Soil Science, Volume 188, Issue 5, Page 742-773, October 2025.
ABSTRACT Environmental scientists are increasingly returning to Mössbauer spectroscopy (MBS) to reveal details about iron (Fe)‐bearing phases in soils and sediments. MBS is particularly powerful at distinguishing between Fe(II) and Fe(III) and, given appropriate background information, can offer exceptionally precise information on Fe speciation in ...
Aaron Thompson, James M. Byrne, Carolin L. Dreher, Andrew R. C. Grigg, Prachi Joshi, Drew E. Latta, Anke Neumann, Luiza Notini, Katie E. B. O'Neill, Katherine A. Rothwell   +9 more
wiley   +1 more source