Snaking of radial solutions of the multi-dimensional Swift-Hohenberg equation: A numerical study

The bifurcation structure of localized stationary radial patterns of the Swift-Hohenberg equation is explored when a continuous parameter n is varied that corresponds to the underlying space dimension whenever n is an integer. In particular, we investigate howl D pulses and 2-pulses are connected to planar spots and rings when n is increased from 1 to 2. We also elucidate changes in the snaking diagrams of spots when the dimension is switched from 2 to 3. (C) 2010 Elsevier B.V. All rights reserved.