A stability index analysis of 1-D patterns of the Gray-Scott model

By Arjen Doelman, R. Gardner, T. Kaper. 2002

114 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Economics and Econometrics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a6039a725a3b088c49916ebabb5cddd2ffaef533

How researchers see this paper

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

In Computer Networks and Communications

1. Jun-cheng Wei
2. Matthias Winter
3. Michael Jeffrey Ward
4. Michael J. Ward
5. Juncheng Wei
6. Mingxin Wang

In Economics and Econometrics

1. Matthias Winter
2. Michael J. Ward
3. Juncheng Wei
4. Jun-cheng Wei

In Statistical and Nonlinear Physics

1. Jun-cheng Wei
2. Matthias Winter
3. Michael Jeffrey Ward
4. Michael J. Ward
5. Juncheng Wei
6. Mingxin Wang
7. Gianmaria Verzini
8. Rainer Mandel

Citations in the corpus

• The existence and stability of spike equilibria in the one-dimensional Gray-Scott model: the pulse-splitting regime (2005, background): “In this regime, studied in [7], [8], [9], [19], and [27], the nite domain and inter-spike coupling do not play a central role.”
• Asymmetric Spotty Patterns for the Gray–Scott Model in R2 (2003, methodology): “multiple pulse solutions in 1-D are shown in [3], [ 4 ].”
• Hopf bifurcation of spike solutions for the shadow Gierer–Meinhardt model (2003, methodology): “For the case N= 1, a similar eigenvalue problem was studied [5, 6, 7], in regards to the stability of a one-spike solution to the Gray–Scott model.”