Exchange Lemmas for Singular Perturbation Problems with Certain Turning Points

By Weishi Liu. 2000

77 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/77be04d890c2dcc3f2457e3321d102230611b567

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Stephen Schecter
2. Dongmei Xiao

In Numerical Analysis

1. Stephen Schecter
2. Weishi Liu
3. Y. Yi

In Statistical and Nonlinear Physics

1. Stephen Schecter
2. Y. Yi
3. Weishi Liu
4. Dongmei Xiao

Citations in the corpus

• Exchange lemmas 2: General Exchange Lemma (2008, background): “From [9], for each small , the (m − 1)-dimensional invariant set {0} × V̌ is contained in an m-dimensional normally hyperbolic invariant manifold K .”
• One-dimensional steady-state Poisson–Nernst–Planck systems for ion channels with multiple ion species (2009, methodology): “In this paper, we will apply the geometric singular perturbation theory (see [Fen, Jon, JK, JKK, TKJ, Liu ] etc.) to extend the framework in papers [Liu1, EL] to PNP systems with multiple regions of permanent charge and with multiple ion species.”
• Relaxation Oscillations in a Class of Predator-Prey Systems (2003, background): “cylinder. With Conditions 1-3, it has been shown in [ 8 , 11, 13] that the map”