  A detailed investigation of the magnetic properties of young Sun-like stars
can provide valuable information on our Sun's magnetic past and its impact on
the early Earth. We determine the properties of the moderately rotating young
Sun-like star kappa Ceti's magnetic and activity cycles using 50 years of
chromospheric activity data and six epochs of spectropolarimetric observations.
The chromospheric activity was determined by measuring the flux in the Ca II H
and K lines. A generalised Lomb-Scargle periodogram and a wavelet decomposition
were used on the chromospheric activity data to establish the associated
periodicities. The vector magnetic field of the star was reconstructed using
the technique of Zeeman Doppler imaging on the spectropolarimetric
observations. Our period analysis algorithms detect a 3.1 year chromospheric
cycle in addition to the star's well-known ~6 year cycle period. Although the
two cycle periods have an approximate 1:2 ratio, they exhibit an unusual
temporal evolution. Additionally, the spectropolarimetric data analysis shows
polarity reversals of the star's large-scale magnetic field, suggesting a ~10
year magnetic or Hale cycle. The unusual evolution of the star's chromospheric
cycles and their lack of a direct correlation with the magnetic cycle
establishes kappa Ceti as a curious young Sun. Such complex evolution of
magnetic activity could be synonymous with moderately active young Suns, which
is an evolutionary path that our own Sun could have taken.
