This　paper　investigates　the　global　bifurcations　and　multi-pulse　jumping　chaotic　dynamics　of　circular　mesh　antenna.　An　equivalent　continuum　circular　cylindrical　shell　is　employed　to　represent　the　circular　mesh　antenna.　Based　on　the　four-dimension　non-autonomous　nonlinear　governing　equations　of　motion　for　the　equivalent　continuum　circular　cylindrical　shell　derived　by　Zhang　et　al.　(2016,　2017),　the　improved　extended　Melnikov　theory　of　the　non-autonomous　nonlinear　system　is　utilized　to　conduct　a　theoretical　analysis　of　the　multi-pulse　jumping　chaotic　motions　for　the　equivalent　continuum　circular　cylindrical　shell.　The　thermal　excitation　and　damping　coefficient　are　considered　as　the　controlling　parameters　to　analyze　their　effect　on　the　nonlinear　vibrations　and　bifurcations　of　the　equivalent　continuum　circular　cylindrical　shell.　Numerical　simulations　are　also　introduced　to　further　verify　the　existence　of　the　multi-pulse　jumping　chaotic　motions　for　the　equivalent　continuum　circular　cylindrical　shell.　The　results　obtained　from　the　numerical　simulations　are　compared　to　those　obtained　from　the　Melnikov　theoretical　prediction.