| Abstract: |
| The fullerene molecule consist of carbon atoms at the vertices of a truncated icosahedron. The atomic interactions are given by bond forces among atoms connected by edges. Also bond bending and torsion interactions are considered. Using gradient equivariant degree theory, we prove global existence of families of nonlinear vibrational modes of oscillation. This procedure gives full topological classification of the spatio-temporal symmetries under the group IxO(3)xO(2), with I the icosahedral group. The nonlinear vibrational modes are continued numerically by implementing a Newton method. |
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