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

abstract

  • 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.

publication date

  • 1997-01-01