Results 51 to 60 of about 17,380,414 (202)
The purpose of this work is to reduce the singularly perturbed system of kinetics of a suicidal substrate. Methods of decomposition and integral manifolds are used. The dimension of the original problem is reduced.
Mikhail A. Smetannikov
doaj +1 more source
Abstract Ice forms seasonally in mid‐latitude soils, and permanently as permafrost in arctic sediments. Ice blocks some of the pore space, altering the flow of both liquid water and gas. Here, we determine the equilibrium position of ice in a three‐phase ice/water/gas system by minimizing the free energy of the system.
David DiCarlo +2 more
wiley +1 more source
Transducers convert physical signals into electrical and optical representations, yet each mechanism is bounded by intrinsic trade‐offs across bandwidth, sensitivity, speed, and energy. This review maps transduction mechanisms across physical scale and frequency, showing how heterogeneous integration and multiphysics co‐design transform isolated ...
Aolei Xu +8 more
wiley +1 more source
An Algebraic Study of Parametric Stokes Phenomena
ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
wiley +1 more source
On the Gierer-Meinhardt System with Saturation [PDF]
We consider the following shadow Gierer-Meinhardt system with saturation: \left\{\begin{array}{l} A_t=\epsilon^2 \Delta A -A + \frac{A^2}{ \xi (1+k A^2)} \ \ \mbox{in} \ \Omega \times (0, \infty),\\ \tau \xi_t= -\xi +\frac{1}{|\Omega|} \int_\Om A^2 ...
Winter, M, Wei, J
core +1 more source
Exponential stability for a class of singularly perturbed It\^{o} differential equations
The problem of exponential stability in mean square of the zero solution for a class of singularly perturbed system of Itô differential equations is investigated. Estimates of the block components of the fundamental random matrix are provided.
V. Dragan, T. Morozan
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Decomposition and stability of linear singularly perturbed systems with two small parameters
In the domain $\Omega =\left\{\left(t,\varepsilon _{1}, \varepsilon _{2} \right): t\in {\mathbb R},\varepsilon _{1}>0, \varepsilon _{2} >0\right\}$, we consider a linear singularly perturbed system with two small parameters \[ \left\{ \begin{array}{l ...
O.V. Osypova +2 more
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CHD4 plays an essential role as an epigenetic regulator in the pathogenesis of multiple myeloma. The chromatin remodeling protein initially resolves G‐quadruplex (G4) secondary structures within the c‐Myc promoter region, thereby enhancing chromatin accessibility and promoting transcriptional activation.
Pinggang Ding +10 more
wiley +1 more source
Based on the asymptotic analysis technique developed by Eckhaus [Lecture Notes in Math., vol. 985, pp 449-494. Springer, Berlin, 1983], this paper aims to study the existence and the asymptotic behaviors of relaxation oscillations of regular and canard ...
Huan Hu +3 more
doaj +1 more source
Stabilization of a class of singularly perturbed switched systems
In this paper, we address the control of a class of switched systems cast in the framework of singularly perturbed systems. The class of switched systems that we deal with here is a particular case of switched affine systems where the state matrices are the same for all modes. These systems have been studied in the literature, wherein control design is
de Souza, Ryan +2 more
openaire +3 more sources

