This　paper　studies　the　dynamic　behaviors　of　a　magnetically　coupled　oscillator　with　two　degrees-of-freedom.　For　the　certain　parameter　combinations,　the　target　component　(TC),　which　is　excited　by　a　base　movement,　enters　the　saturated　steady-state　responses.　Another　component,　which　is　called　as　the　spatially　constrained　system　(SCS),　is　considered　as　an　energy　absorber　pumping　out　of　the　energy　from　the　TC　under　1:3　internal　resonance.　The　governing　equations　of　motion　are　derived　using　a　magnetic　dipole　model　and　then　are　solved　with　the　method　of　multiple　scales.　The　energy　distributions　between　the　TC　and　SCS　can　vary　with　the　base　movement　amplitude　and　excitation　frequency.　The　saturation　behavior　is　found　and　used　for　constraining　the　moving　amplitude　of　an　excited　system.　The　bifurcation　diagrams　reveal　the　complex　and　interesting　responses　when　the　excitation　frequency　and　amplitude　change.　The　results　include　the　comparisons　among　the　analytical　predictions,　numerical　simulations,　and　experimental　tests.　For　the　purpose　of　suppressing　the　primary　resonance,　the　present　system　effectively　transf　er　the　energy　from　the　excited　component.　The　jumping　and　saturation　phenomena　are　found　in　the　experiments　and　the　changes　in　the　spectrum　of　two　steady-state　responses　are　also　observed.　(C)　2020　Elsevier　Ltd.　All　rights　reserved.