Andronov-Hopf　bifurcations,　Pomeau-Manneville　intermittent　chaos　and　nonlinear　vibrations　of　the　large　deployable　space　antenna　(LDSA)　subjected　to　the　thermal　load　with　the　case　of　1:3　internal　resonance　are　studied　for　the　first　time.　The　frequencies　and　vibration　modes　of　the　LDSA　are　analyzed　by　using　the　finite　element　method.　It　is　found　that　there　may　exist　an　approximate　threefold　relationship　between　the　fourth-order　and　first-order　frequencies　of　the　LDSA.　The　LDSA　is　simplified　to　a　composite　laminated　equivalent　cylindrical　shell　clamped　along　a　generatrix　and　with　the　radial　pre-stretched　membranes　at　two　ends　subjected　to　the　thermal　load.　Considering　the　case　of　1:3　internal　resonance,　four-dimensional　nonlinear　averaged　equations　are　obtained　by　using　the　method　of　multiple　scales.　The　amplitude-frequency　response　curves　and　amplitude-force　response　curves　are　obtained　for　the　LDSA　subjected　to　the　thermal　load　through　the　prediction-correction　continuation　algorithm.　The　fold　bifurcation　and　Andronov-Hopf　bifurcation　points　are　located　on　these　resonant　response　curves.　The　equivalent　model　of　the　LDSA　has　the　hardening　spring　characteristics.　The　thermal　load　has　very　significant　influences　on　the　stability　of　the　LDSA.　The　nonlinear　dynamics　of　the　equivalent　model　for　the　LDSA　are　investigated　by　using　the　fourth-order　Runge-Kutta　algorithm.　These　nonlinear　dynamic　behaviors　are　described　by　the　bifurcation　diagrams,　waveforms,　phase　plots,　and　Poincare　maps.　The　periodic　doubling　bifurcation　and　Pomeau-Manneville　type　intermittent　chaos　appear　in　this　nonlinear　dynamical　system.　According　to　the　topological　evolution　of　the　phase　trajectories,　the　phase-locking　phenomenon　and　a　special　evolution　path　of　the　chaotic　attractors　are　found.　(c)　2021　Elsevier　Ltd.　All　rights　reserved.