Homoclinic snaking: structure and stability.
作者： John Burke , Edgar Knobloch
DOI: 10.1063/1.2746816
关键词: Stability (probability) 、 Bistability 、 Homoclinic orbit 、 Mathematical analysis 、 Mathematics 、 Physical system 、 Point (geometry) 、 Structure (category theory) 、 Bifurcation 、 Perturbation theory
摘要: The bistable Swift-Hohenberg equation exhibits multiple stable and unstable spatially localized states of arbitrary length in the vicinity Maxwell point between homogeneous periodic states. These are organized a characteristic snakes-and-ladders structure. origin this structure one spatial dimension is reviewed, stability properties resulting with respect to perturbations both two dimensions described. relevance results several different physical systems discussed.
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