Abundance of stable stationary localized solutions to the generalized 1D Swift-Hohenberg equation

✍ Scribed by L.A. Belyakov; L.Yu. Glebsky; L.M. Lerman

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 999 KB
• Volume: 34
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(97)00127-2

✦ Synopsis

A number of stationary localized solutions to the well-known pattern-forming gradient system mentioned in the title have been found. Their search is based on the theory of homoclinic orbits to a saddle-focus equilibrium and some results of linear symmetric differential operators with decaying coefficients along with computer simulations.