Journal
PHYSICAL REVIEW E
Volume 83, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.83.066208
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Funding
- Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan
- The Next Generation of Physics, Spun from Universality and Emergence
- Grants-in-Aid for Scientific Research [23540449] Funding Source: KAKEN
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We derive a set of equations of motion for an isolated domain in an excitable reaction-diffusion system in three dimensions. In the singular limit where the interface is infinitesimally thin, the motion of the center of mass coupled with deformation is investigated near the drift bifurcation where a motionless domain becomes unstable and undergoes migration. This is an extension of our previous theory in two dimensions. We show that there are three basic motions of a domain, straight motion, rotating motion, and helical motion. The last one is a characteristic of three dimensions. The phase diagram of these three solutions is given in the parameter space of the original reaction-diffusion equations.
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