The non-linear behaviour of the heat-integrated multibed plug flow reactor, consisting of feed-effluent heat exchanger (FEHE), furnace, multibed adiabatic tubular reactor with intermediate cooling, and steam generator is studied. A first order, reversible, exothermic reaction is considered. We calculate the hysteresis, isola, boundary-limit, double-zero and double-Hopf varieties. They divide parameter space into regions with different steady state and dynamic behaviour. State multiplicity, isolated branches and oscillatory behaviour may occur for realistic values of model parameters. Implications on design are discussed.