Before revision:  Finally, we calculate "scaling laws" of period-amplitude co-variation for a subset of these benchmark oscillators , finding that as period increases the amplitude increases or remains constant . These resultsshould help to understand the amplitude-period co-variation of oscillators in biomolecular as well as other contexts .
After revision:  Finally, we calculate "scaling laws" of period-amplitude co-variation for a subset of these benchmark oscillators , finding that as the approximated period increases, the upper bound of the amplitude increases, or reaches a constant value. Based on these results, we discuss the effect of different parameters on the type of period-amplitude co-variation as well as other contexts .