In　1979,H.K.Moffatt　has　pointed　out　that　the　conventional　treatment　of　the　simplest　self-exciting　homopolar　disc　dynamo　has　inconsistencies　because　of　the　neglect　of　induced　azimuthal　eddy　currents,which　can　be　resolved　by　introducing　a　segmented　disc　dynamo.Here　we　return　to　the　simple　dynamo　system　proposed　by　Moffatt,and　demonstrate　previously　unknown　hidden　chaotic　attractors.Then　we　study　multistability　and　coexistence　of　three　types　of　attractors　in　the　autonomous　dynamo　system　in　three　dimensions:equilibrium　points,limit　cycles　and　hidden　chaotic　attractors.In　addition,the　existence　of　two　homoclinic　orbits　is　proved　rigorously　by　the　generalized　Melnikov　method.Finally,by　using　Poincare　compactification　of　polynomial　vector　fields　in　three　dimensions,the　dynamics　near　infinity　of　singularities　is　obtained.