%0 Journal Article %T Periodic Solutions to Non-Autonomous Second-Order Dynamical Systems %A An-Min Mao %A Miao-Miao Yang %J Advances in Pure Mathematics %P 90-94 %@ 2160-0384 %D 2011 %I Scientific Research Publishing %R 10.4236/apm.2011.13020 %X We study the multiple existence of periodic solutions for a second-order non-autonomous dynamical systems (1). Using the method of invariant sets of descending flow and chain of rings theorem, we obtain the existence of seven -periodic solutions. %K Critical Point %K Invariant Sets of Descending Flow %K (PS) Condition %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=5198