  Although resonant planets have orbital periods near commensurability,
resonance is also dictated by other factors, such as the planets'
eccentricities and masses, and therefore must be confirmed through a study of
the system's dynamics. Here, we perform such a study for five multi-planet
systems: Kepler-226, Kepler-254, Kepler-363, Kepler-1542, and K2-32. For each
system, we run a suite of N-body simulations that span the full parameter-space
that is consistent with the constrained orbital and planetary properties. We
study the stability of each system and look for resonances based on the
libration of the critical resonant angles. We find strong evidence for a
two-body resonance in each system; we confirm a 3:2 resonance between
Kepler-226c and Kepler-226d, confirm a 3:2 resonance between Kepler-254c and
Kepler-254d, and confirm a three-body 1:2:3 resonant chain between the three
planets of Kepler-363. We explore the dynamical history of two of these systems
and find that these resonances most likely formed without migration. Migration
leads to the libration of the three-body resonant angle, but these angles
circulate in both Kepler-254 and Kepler-363. Applying our methods to additional
near-resonant systems could help us identify which systems are truly resonant
or non-resonant and which systems require additional follow-up analysis.
