  We investigate the possibility of finding Earth-like planets in the habitable
zone of 34 nearby FGK-dwarfs, each known to host one giant planet exterior to
their habitable zone detected by RV. First we simulate the dynamics of the
planetary systems in their present day configurations and determine the
fraction of stable planetary orbits within their habitable zones. Then, we
postulate that the eccentricity of the giant planet is a result of an
instability in their past during which one or more other planets were ejected
from the system. We simulate these scenarios and investigate whether planets
orbiting in the habitable zone survive the instability. Explicitly we determine
the fraction of test particles, originally found in the habitable zone, which
remain in the habitable zone today. We label this fraction the resilient
habitability of a system. We find that for most systems the probability of
planets existing [or surviving] on stable orbits in the habitable zone becomes
significantly smaller when we include a phase of instability in their history.
We present a list of candidate systems with high resilient habitability for
future observations. These are: HD 95872, HD 154345, HD 102843, HD 25015, GJ
328, HD 6718 and HD 150706. The known planets in the last two systems have
large observational uncertainties on their eccentricities, which propagate into
large uncertainties on their resilient habitability. Further observational
constraints of these two eccentriciti
