For small forces, the 3D VPB system has unique time-periodic solutions with the same period as the force, and these solutions are asymptotically stable.
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Time-periodic solutions of the Vlasov-Poisson-Boltzmann system with a general external force in $\mathbb{R}^3$
For small forces, the 3D VPB system has unique time-periodic solutions with the same period as the force, and these solutions are asymptotically stable.