\section*{Problem 6}
\subsection*{Part A}

Core design that prohibits adequate transfer of power between core regions will
increase the likelihood of oscillations. In our notes for 'Simplified Parallel
Coupled Reactors', we summarized this communication between reactor regions as a
parameter $g$. Designs that have connections between areas with small $g$ will
suffer from worse oscillations. I would presume reactors that have large aspect
ratios would suffer more from oscillations, as it would be harder for different
ends of the reactor core to 'communicate' with one another.

\subsection*{Part B}

These oscillations will cause damage to the fuel and reactor over time. The
reactor is presumably not designed to carry such high power loads in localized
regions of the reactor, as opposed to a balanced power load across the entire
reactor core.

\subsection*{Part C}

Oscillations might impact core protection or safety analysis by obscuring the
actual reactivity or temperature values inside the reactor core. Without proper
care to obtain good measurements, a reactor operator could not be aware that
certain oscillating areas of the core are exceeding temperature and local power
limits, all the while the reactor as a whole may appear as if it's behaving
normally. The result is that while coolant flow in and out of the reactor
maintain normal temperature, oscillating fuel rods may actually be pushing
beyond designed limits, and compromising their cladding, performance, or other
important characteristics..