Advances in Difference Equations, 2006 This paper deals with monotone finite difference iterative algorithms for solving nonlinear singularly perturbed reaction-diffusion problems of elliptic and parabolic types.
Boglaev Igor, Hardy Matthew
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Stochastic enzyme kinetics and the quasi-steady-state reductions: Application of the slow scale linear noise approximation à la Fenichel. [PDF]
J Math Biol, 2022 Eilertsen J, Srivastava K, Schnell S.
europepmc +1 more source
Stability analysis of singularly perturbed switched systems
, 2012 Un grand nombre de phénomènes nous entourant peuvent être décrit par des modèles hybrides, c'est-à-dire, mettant en jeu simultanément une dynamique continu et une dynamique discrète.
Hachemi, Fouad El
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On the method of lines for singularly perturbed partial differential equations [PDF]
, 2017 Magister Scientiae - MScMany chemical and physical problems are mathematically described by partial differential equations (PDEs). These PDEs are often highly nonlinear and therefore have no closed form solutions.
Mbroh, Nana Adjoah
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A geometric analysis of the SIRS epidemiological model on a homogeneous network. [PDF]
J Math Biol, 2021 Jardón-Kojakhmetov H +3 more
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Exponential dichotomies for linear systems with impulsive effects
Electronic Journal of Differential Equations, 2001 In this paper we give conditions for the existence of a dichotomy for the impulsive equation $$displaylines{ mu(t,varepsilon) x'= A(t)x, ; t eq t_k,cr x(t_k^+ )= C_k x(t_k^-),, }$$ where $mu(t,varepsilon)$ is a positive function such that $limmu(t ...
Raul Naulin
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Unified Approach for Singularly Perturbed Control Systems
, 2001 The theory of singular perturbation has been a highly recognized and rapidly developing area of control systems in the last thirty years. Results now exists for both the continuous-time and discrete-time systems.
Singh, Hardev
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Parameter uniform finite difference formulation with oscillation free for solving singularly perturbed delay parabolic differential equation via exponential spline. [PDF]
BMC Res NotesHassen ZI, Duressa GF.
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Information geometry for multiparameter models: new perspectives on the origin of simplicity. [PDF]
Rep Prog Phys, 2022 Quinn KN +4 more
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String stability of singularly perturbed stochastic systems
, 2003 The sufficient conditions of string stability of singularly perturbed, nonlinear stochastic systems are established. The excitations are assumed to be parametric white noise. In this case the objective is to analyze composite systems in their lower order
Rybarska-Rusinek, Liliana
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