Results 71 to 80 of about 2,529 (224)
上海师范大学学报. 自然科学版, 2016 We consider the singularly perturbed delayed systems of Tichonov′s type with fast and slow variables in a fast bimolecular reaction model. By means of the boundary layer function method, sewing connection and the implicit function theorem, we prove the ...
WANG Na
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On singularly perturbed Filippov systems
European Journal of Applied Mathematics, 2013 In this paper, we study singularly perturbed Filippov systems. More specifically, our main question is to know how the dynamics of Filippov systems is affected by singular perturbations. We extend the Fenichel theory developed in Fenichel (J. Differ. Equ., 1979, Vol. 31, pp. 53–98) to these systems.
Cardin, Pedro T. +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Time‐fractional fourth‐order partial differential equations (PDEs) are typically important in the modeling of complex physical systems that have long‐memory effects and high‐order transverse spatial interaction. The paper presents a new hybrid method, called the Cuckoo Search–optimized fractional physics‐informed neural network (fPINN‐CS), that, to the
Ali Alkhathlan +5 more
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A Higher-Order Energy Expansion to Two-Dimensional Singularly Neumann Problems
, 2005 Of concern is the following singularly perturbed semilinear elliptic problem \begin{equation*} \left\{ \begin{array}{c} \mbox{${\epsilon}^2\Delta u -u+u^p =0$ in $\Omega$}\\ \mbox{$u>0$ in $\Omega$ and $
Yeung, W-K, Winter, M, Wei, J
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Optimal Control of Linear Singularly Perturbed Systems via Eigenvalue Assignment [PDF]
Control and Optimization in Applied MathematicsOptimal control of certain singularly perturbed systems, with slow and fast dynamics, presents notable challenges, including ill-conditioning, high dimensionality, and ill-posed algebraic Riccati equations.
Mehrnoosh Salehi Chegeni +1 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study develops a robust hybrid numerical scheme for a class of time‐dependent, singularly perturbed differential‐difference equations characterized by a small positive parameter multiplying the highest order derivative term and mixed spatial shifts (delay and advance) in the reaction terms.
Ababi H. Ejere +4 more
wiley +1 more source
Sampling of singularly perturbed switched linear systems
, 2013 International audienceWe consider several time-discretization algorithms for singularly perturbed switched systems. The algorithms correspond to different sampling times and the discretization procedure respects the splitting of each mode in fast and ...
Daafouz, Jamal +2 more
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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.
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Blue Sky Catastrophe in Systems with Non-classical Relaxation Oscillations
Моделирование и анализ информационных систем, 2015 The feasibility of a known blue-sky bifurcation in a class of three-dimensional singularly perturbed systems of ordinary differential equations with one fast and two slow variables is studied.
S. D. Glyzin +2 more
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H ? filtering for stochastic singular fuzzy systems with time-varying delay [PDF]
, 2014 This paper considers the H? filtering problem for stochastic singular fuzzy systems with timevarying delay. We assume that the state and measurement are corrupted by stochastic uncertain exogenous disturbance and that the system dynamic is modeled ...
Cai, Min +3 more
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