Abstract
Typical analyses of chemical systems have so far been carried out on either isothermal autocatalytic systems or deceleratory reactions with thermal feedback. In real chemical systems, however, heat may often be released by an autocatalytic reaction. The quadratic autocatalator with kinetic scheme ▪ is now studied as an example of a non-isothermal, non-adiabatic reaction in a CSTR. The techniques of singularity theory and Hopf theory are used to study the effects of thermal feedback on the steady-state and the dynamic behaviour of this four parameter system. An interesting variety of steady-state behaviour is found including breaking wave, isola and mushroom patterns. Hopf bifurcations and sustained oscillations also exist for large ranges of parameter values with a wide combination of stable and unstable limit cycles being found.
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