Asset Details
Do you wish to reserve the book?
The Stability and Dynamics of Localized Spot Patterns in the Two-Dimensional Gray–Scott Model
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
The Stability and Dynamics of Localized Spot Patterns in the Two-Dimensional Gray–Scott Model
Do you wish to request the book?
The Stability and Dynamics of Localized Spot Patterns in the Two-Dimensional Gray–Scott Model
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Journal Article
The Stability and Dynamics of Localized Spot Patterns in the Two-Dimensional Gray–Scott Model
2011
Overview
The dynamics and stability of multispot patterns to the Gray-Scott (GS) reaction-diffusion model in a two-dimensional domain is studied in the singularly perturbed limit of small diffusivity ... of one of the two solution components. A hybrid asymptotic-numerical approach based on combining the method of matched asymptotic expansions with the detailed numerical study of certain eigenvalue problems is used to predict the dynamical behavior and instability mechanisms of multispot quasi-equilibrium patterns for the GS model in the limit ... ... 0. From a numerical computation of the spectrum of these eigenvalue problems, phase diagrams in the GS parameter space corresponding to the onset of spot instabilities are obtained for various simple spatial configurations of multispot patterns. In addition, it is shown that there is a wide parameter range where a spot instability can be triggered only as a result of the intrinsic slow motion of the collection of spots. (ProQuest: ... denotes formulae/symbols omitted.)
Publisher
Society for Industrial and Applied Mathematics
Subject
We currently cannot retrieve any items related to this title. Kindly check back at a later time.