Relative stability of multipeak localized patterns
- Vladimirov, Andrei G.
- Lefever, René
- Tlidi, Mustapha
2010 Mathematics Subject Classification
- 35B99 37L15
2008 Physics and Astronomy Classification Scheme
- 45.70.Qj 05.45.-a 42.65.Pc
- Localized structures, Lyapunov functional, stability
We study relative stability properties of different clusters of closely packed one- and two-dimensional localized peaks of the Swift-Hohenberg equation. We demonstrate the existence of a 'spatial Maxwell' point where clusters are almost equally stable, irrespective of the number of pes involved. Above (below) the Maxwell point, clusters become more (less) stable with the increase of the number of peaks.
- Phys. Rev. A, 84 (2011) pp. 043848/1--043848/4.