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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Geometric Singular Perturbation Theory and Traveling Pulses with Monotone Tails in a Diffusive Rosenzweig MacArthur Model
扩散 罗森茨威格麦克阿瑟模型 几何奇异摄动理论 单调尾巴行进脉冲
2023/5/5
In this talk, we first briefly review history of the geometric singular perturbation theory, then talk about the traveling pulses for a diffusive Rosenzweig MacArthur model. We show the existence of t...
The thin film equation with non zero contact angle:A singular perturbation approach
thin film equation non zero contact angle singular perturbation approach
2015/10/15
In this paper we prove the existence of weak solutions for the thin film equation with prescribed non zero contact angle and for a large class of mobility coefficients, in dimension 1. The existence o...
Approximate Solution of the Singular-Perturbation Problem on Chebyshev-Gauss Grid
Singular Perturbation Problems Two-Point Boundary Value Problems The Shifted Chebyshev Polynomials Approximation Method Matrix Method
2013/1/30
Matrix methods, now-a-days, are playing an important role in solving the real life problems governed by ODEs and/or by PDEs. Many differential models of sciences and engineers for which the existing m...
Singular Perturbation Approximations for a Class of Linear Quantum Systems
Singular Perturbation Approximations Linear Quantum Systems Optimization and Control
2011/10/10
Abstract: This paper considers the use of singular perturbation approximations for a class of linear quantum systems arising in the area of linear quantum optics. The paper presents results on the phy...
A stability study of the active disturbance rejection control problem by a singular perturbation approach
active disturbance rejection control singular perturbation
2010/9/10
We study the stability characteristic of the active disturbance rejection control for a nonlinear, time-varying plant. To this end, the closed-loop system is reformulated in a form that allows the sin...
WCDMA uplink system capacity: A singular perturbation approach
Singular W-CDMA singular perturbation Lyapunov
2010/9/13
We consider a WCDMA system with two types of calls: real time (RT) calls that have dedicated resources, and data on real time (BE) calls (i.e. best effort) that share system capacity. We consider rese...
The nonlinear singular perturbation problem is solved numerically on nonequidistant meshes which are dense in the boundary layers. The method presented is based on the numerical solution of integral e...
Error of One-leg Methods for Singular Perturbation Problems with Delays
singular perturbation problems delays interpolation
2007/12/11
This paper is concerned with the error behavior of one-leg methods applied to some classes of one-parameter multiple stiff singularity perturbed problems with delays. We derive the global error estima...