  Solar modulation potential (SMP) reconstructions based on cosmogenic nuclide
records reflect changes in the open solar magnetic field and can therefore help
us obtain information on the behaviour of the open solar magnetic field over
the Holocene period. We aim at comparing the Sun's large-scale magnetic field
behaviour over the last three solar cycles with variations in the SMP
reconstruction through the Holocene epoch. To achieve these objectives, we use
the IntCal13 $^{14}$C data to investigate distinct patterns in the occurrences
of grand minima and maxima during the Holocene period. We then check whether
these patterns might mimic the recent solar magnetic activity by investigating
the evolution of the energy in the Sun's large-scale dipolar magnetic field
using the Wilcox Solar Observatory data. The cosmogenic radionuclide data
analysis shows that $\sim$71\% of grand maxima during the period from 6600 BC
to 1650 AD were followed by a grand minimum. The occurrence characteristics of
grand maxima and minima are consistent with the scenario in which the dynamical
non-linearity induced by the Lorentz force leads the Sun to act as a relaxation
oscillator. This finding implies that the probability for these events to occur
is non-uniformly distributed in time, as there is a memory in their driving
mechanism, which can be identified via the back reaction of the Lorentz force.
