Atmospheric neutrinos are one of the most relevant natural neutrino sources
that can be exploited to infer properties about cosmic rays and neutrino
oscillations. The Jiangmen Underground Neutrino Observatory (JUNO) experiment,
a 20 kton liquid scintillator detector with excellent energy resolution is
currently under construction in China. JUNO will be able to detect several
atmospheric neutrinos per day given the large volume. A study on the JUNO
detection and reconstruction capabilities of atmospheric $\nu_e$ and $\nu_\mu$
fluxes is presented in this paper. In this study, a sample of atmospheric
neutrino Monte Carlo events has been generated, starting from theoretical
models, and then processed by the detector simulation. The excellent timing
resolution of the 3'' PMT light detection system of JUNO detector and the much
higher light yield for scintillation over Cherenkov allow to measure the time
structure of the scintillation light with very high precision. Since $\nu_e$
and $\nu_\mu$ interactions produce a slightly different light pattern, the
different time evolution of light allows to discriminate the flavor of primary
neutrinos. A probabilistic unfolding method has been used, in order to infer
the primary neutrino energy spectrum from the detector experimental
observables. The simulated spectrum has been reconstructed between 100 MeV and
10 GeV, showing a great potential of the detector in the atmospheric low energy
region.