Journal
NETWORKS AND HETEROGENEOUS MEDIA
Volume 4, Issue 1, Pages 1-18Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/nhm.2009.4.1
Keywords
camphor discs; repulsive interaction; center manifold theory; traveling spot
Categories
Funding
- National Science Foundation [DMS-9971043, 0203991, 0504691]
- JSPS [16540200, 18104002]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0203991] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0504691] Funding Source: National Science Foundation
- Grants-in-Aid for Scientific Research [18104002, 16540200] Funding Source: KAKEN
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In the present paper, a model describing the self-motion of a camphor disc on water is proposed. The stability of a standing camphor disc is investigated by analyzing the model equation, and a pitchfork type bifurcation diagram of a traveling spot is shown. Multiple camphor discs are also treated by the model equations, and the repulsive interaction of spots is discussed.
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