THE GIERER & MEINHARDT SYSTEM: THE BREAKING OF HOMOCLINICS AND MULTI-BUMP GROUND STATES
By Manuel del Pino, M. Kowalczyk, Xinfu Chen. 2001
48 citations recorded by the source corpus.
Subfields: Computer Networks and Communications, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/6fd454044515000f1b7d1c9f9d92df65a1a06a3d
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
In Geometry and Topology
In Mathematical Physics
- Jun-cheng Wei
- Manuel del Pino
- M. Kowalczyk
- Monica Musso
- Kazunaga Tanaka
- Jaeyoung Byeon
- Zhi-Qiang Wang
- W. Yao
Citations in the corpus
- The Toda System and Clustering Interfaces in the Allen–Cahn equation (2008, background): “In the one-dimensional or radial cases, concentration in the form of clusters of transition layers or spikes has already been observed in various problems in the literature, see [4,10,11,13,27,28,32,33], phenomena in accordance with higherdimensional multi-spike clustering as predicted in [20].”
- Chapter 6 Existence and stability of spikes for the Gierer-Meinhardt system (2008, methodology): “This was proved in [12] (by dynamical system techniques) and [7] (by PDE methods).”
- On localised hotspots of an urban crime model (2013, background): “As one approaches the singular limit, the localised hexagon structures begin to act like a collection of multi-spots and the bifurcation diagram for both planar fronts and patches breaks up into isolas; see [15, 34] for a singular limit analysis of localised hexagon structures in the Gierer & Meinha”