期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 239, 期 16, 页码 1581-1592出版社
ELSEVIER
DOI: 10.1016/j.physd.2010.04.004
关键词
Swift-Hohenberg equation; Radial localized structures; Snaking
资金
- NSF [DMS-0907904]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0907904] Funding Source: National Science Foundation
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.
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