  We revisit a model of the two-scalar system proposed previously for
understanding a small but nonzero cosmological constant. The model provides
solutions of the scalar-fields energy $\rho_s$ which behaves truly constant for
a limited time interval rather than in the way of tracker- or scaling-type
variations. This causes a mini-inflation, as indicated by recent observations.
As another novel feature, $\rho_s$ and the ordinary matter density $\rho_m$
fall off always side by side, but interlacing, also like (time)$^{-2}$ as an
overall behavior in conformity with the scenario of a decaying cosmological
constant. A mini-inflation occurs whenever $\rho_s$ overtakes $\rho_m$, which
may happen more than once, shedding a new light on the coincidence problem. We
present a new example of the solution, and offer an intuitive interpretation of
the mechanism of the nonlinear dynamics. We also discuss a chaos-like nature of
the solution.
