  Multiacceleration scenario can be used to solve the cosmological coincidence
problem. In this paper, after considering the early radiation era, we revisit
the cosmological dynamics of the oscillating dark energy model proposed in
[https://doi.org/10.1103/PhysRevD.101.063531, Phys. Rev. D {\bf 101}, 063531
(2020)]. We find this model allows the Universe evolves as oscillating scaling
solution (OSS) in the radiation era and as chaotic accelerating solution (CAS)
in the matter era. Mathematically, the transition from OSS to CAS is a route of
period-doubling bifurcation to chaos. Physically, there are two reasons
convince us that this scenario can be a nice picture to describe the real
Universe. One is the global cosmological parameter constraints are practicable
if the Universe evolves as OSS in the radiation era. The other is the late-time
Universe described by CAS can successfully explain the observed cosmic
acceleration at low redshifts.
