The dynamics of the process e+e-→ π+π-π is studied in the energy region from 1.15 to 2.00 GeV using data accumulated with the SND detector at the VEPP-2000 e+e- collider. The Dalitz plot distribution and π+π- mass spectrum are analyzed in a model including the intermediate states ρ(770) π, ρ(1450) π, and ωπ. As a result, the energy dependences of the ρ(770) π and ρ(1450) π cross sections and the relative phases between the ρ(770) π amplitude and the ρ(1450) π and ωπ amplitudes are obtained. The ρ(1450) π cross section has a peak in the energy region of the ω(1650) resonance (1.55–1.75 GeV). In this energy range the contributions of the ρ(770) π and ρ(1450) π states are of the same order of magnitude. No resonance structure near 1.65 GeV is observed in the ρ(770) π cross section. We conclude that the intermediate state ρ(1450) π gives a significant contribution to the decay of ω(1650) → π+π-π, whereas the ρ(770) π mechanism dominates in the decay ω(1420) → π+π-π.