Results 1 to 10 of about 1,077,728 (350)

Singular Perturbation Approximation for Linear Systems with Lévy Noise

, 2017
To solve a stochastic linear evolution equation numerically, finite dimensional approximations are commonly used. For a good approximation, one might end up with a sequence of ordinary stochastic linear equations of high order.
Redmann, M., Martin Redmann, Peter Benner, Redmann, Martin, Benner, Peter, Benner, P. ; https://orcid.org/   +5 more
core   +1 more source

Multiplicity of Positive Solutions for a Singular Tempered Fractional Initial-Boundary Value Problem with Changing-Sign Perturbation Term

Fractal and Fractional
In this paper, we focus on the multiplicity of positive solutions for a singular tempered fractional initial-boundary value problem with a p-Laplacian operator and a changing-sign perturbation term.
Xinguang Zhang, Peng Chen, Lishuang Li, Yonghong Wu   +3 more
doaj   +1 more source

Algebraic Perturbation Theorems of Core Inverse A㊮ and Core-EP Inverse A㊯

Journal of Mathematics, 2023
In this paper, the algebraic perturbation theorems of the core inverse A㊮ and core-EP inverse A㊯ are discussed for a square singular matrix A with different indices, and the expressions of the algebraic perturbation for these two new generalized inverses
Xingping Sheng
doaj   +1 more source

Canards and curvature: nonsmooth approximation by pinching [PDF]

, 2011
In multiple time-scale (singularly perturbed) dynamical systems, canards are counterintuitive solutions that evolve along both attracting and repelling invariant manifolds.
Desroches, MF, M Desroches, M R Jeffrey, Jeffrey, MR   +3 more
core   +1 more source

Observability of Discrete-Time Two-Time-Scale Multi-Agent Systems with Heterogeneous Features under Leader-Based Architecture

Mathematics, 2023
This paper investigates the observability of discrete-time two-time-scale multi-agent systems with heterogeneous features under leader–follower architecture. First, a singular perturbation difference model for the discussed system is established based on
Mengqi Gu, Guo-Ping Jiang
doaj   +1 more source

Singular Perturbation Theory for PWM AC/DC Converters: Cascade Nonlinear Control Design and Stability Analysis

Iranian Journal of Electrical and Electronic Engineering, 2022
In this paper, the problem of controlling PWM single-phase AC/DC converters is addressed. The control objectives are twofold: (i) regulating the output voltage to a selected reference value, and (ii) ensuring a unitary power factor by forcing the grid ...
Y. Mchaouar, A. Abouloifa, I. Lachkar, H. Katir, F. Giri, A. El Aroudi, A. Elallali, C. Taghzaoui   +7 more
doaj  

Transition of phase response properties and singularity in the circadian limit cycle of cultured cells. [PDF]

PLoS ONE, 2017
The circadian system has been regarded as a limit cycle oscillator constructed by the integrated interaction of clock genes and proteins. Here, we investigated a mammalian circadian oscillation geometrically before and after a perturbation.
Satoshi Koinuma, Hiroshi Kori, Isao T Tokuda, Kazuhiro Yagita, Yasufumi Shigeyoshi   +4 more
doaj   +1 more source

Neural networks for singular perturbations

Numerische Mathematik
Abstract We prove deep neural network (DNN for short) expressivity rate bounds for solution sets of a model class of singularly perturbed, elliptic two-point boundary value problems, in Sobolev norms, on the bounded interval $$(-1,1)$$ (
Joost A. A. Opschoor, Christoph Schwab, Christos Xenophontos   +2 more
openaire   +2 more sources

Singular perturbations and nonstandard analysis [PDF]

Transactions of the American Mathematical Society, 1979
We study by methods of nonstandard analysis second order differential operators with zero order coefficients which are too singular to be defined by standard functions. In particular we study perturbations of the Laplacian in
Albeverio, Sergio, Fenstad, Jens Erik, Høegh-Krohn, Raphael   +2 more
openaire   +1 more source

Period function of planar turning points

Electronic Journal of Qualitative Theory of Differential Equations, 2021
This paper is devoted to the study of the period function of planar generic and non-generic turning points. In the generic case (resp. non-generic) a non-degenerate (resp.
Renato Huzak, David Rojas
doaj   +1 more source