Ring　truss　antenna　is　an　ideal　structure　for　large　satellite　antenna,　which　can　be　equivalent　to　circular　cylindrical　shell　model.　Based　on　the　high-dimensional　nonlinear　dynamic　vibration　and　bifurcation　theory,　we　focus　on　the　nonlinear　dynamic　behavior　for　breathing　vibration　system　of　ring　truss　antenna　with　internal　resonance.　The　nonlinear　transformation　and　Routh-Hurwitz　criterion　are　used　to　analyze　the　stability　of　equilibrium　point　after　disturbance,　and　the　theoretical　analysis　is　verified　by　numerical　simulation.　It　provides　a　reference　to　ensure　the　stability　and　control　parameters　of　satellite　antenna　in　complex　space　environment.　©　2022　Institute　of　Physics　Publishing.　All　rights　reserved.