Low　frequency　amplitude-modulated　excitation　is　a　recently　reported　excitation　that　can　induce　relaxation　oscillations　and　prolongs　the　system＇s　slow　processes.　This　investigation　aims　to　research　the　effects　of　different　modulation　modes　of　low　frequency　amplitude-modulated　excitation　on　relaxation　oscillations.　Generally,　intriguing　dynamical　characteristics　can　be　observed　in　compound　relaxation　oscillations　when　amplitude-modulated　modulation　is　introduced.　Specifically,　the　quasi-static　processes　of　the　system　exhibit　different　relaxation　oscillations　while　the　active　phase　of　the　relaxation　oscillations　remains　relatively　constant.　We　investigate　the　dynamical　behaviors　of　the　entire　excitation　through　the　fast-slow　analysis　method.　For　this　purpose,　a　three-dimensional　visualization　is　proposed　to　explore　the　relaxation　oscillations　induced　by　different　modulation　modes,　providing　insights　into　the　system＇s　dynamical　behaviors　from　multiple　perspectives.　The　results　show　that　the　oscillations　depend　on　the　modulation　mode　of　the　amplitude-modulated　excitation.　Modulation　frequency　changes　extend　the　quasi-static　processes　and　increase　the　number　of　oscillations.　Besides,　variations　in　the　modulation　index　can　trigger　amplitude　variations　that　lead　to　an　increased　number　of　bifurcation　points　during　overmodulation.　Based　on　these　findings,　we　reveal　the　dynamic　mechanism　of　composite　relaxation　oscillations.　Our　study　demonstrates　that　the　introduction　of　amplitude-modulated　excitation　can　induce　compound　relaxation　oscillations　in　the　system,　and　different　modulation　modes　significantly　influence　the　fast-slow　dynamics.　Moreover,　our　results　provide　a　valuable　reference　for　investigating　other　dynamic　systems　that　incorporate　amplitude-modulated　excitation.