中村 理浩 (Masahiro NAKAMURA)
The symmetry of the bifurcate solutions of a diamond pattern has been clarified. A two-dimensional diamond pattern DI consists of intersections of n identical diamond-shaped blocks which periodically extend infinitely in the plane, and therefore have discrete translational symmetry and reflectional symmetry. The DI emerges after the first bifurcation from the uniform rectangular domain. However, no bifurcation modes from this pattern have yet to be found. In this paper, we will explain the group-theoretic bifurcation mechanism of a DI2;2 system.
Key Words : group-theoretic bifurcation theory, diamond pattern, pattern formation