Date of Award
Doctor of Philosophy
In this dissertation, we study the flows on R3 associated with a nonlinear system differential equation introduced by Clark Robinson in . The periodic orbits are modeled by a semi-flow on the L(−1,−1) template. It is known that these are positive knots, but need not have positive braid presentations. Here we prove that they are fibered. We investigate their linking and we construct a zeta-function that counts periodic orbits according to their twisting. This extends work by M. Sullivan in , and .
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