Studies in the Friedel-Crafts reaction

Proceedings - Mathematical Sciences - Phthalic anhydride has been condensed with resorcinol with the formation ofO-2: 4-dihydroxybenzoyl benzoic acid. [Some derivatives of this keto acid have been...     

Complex bifurcations in the oscillatory reaction model

The mixing of different types of bifurcations, i.e. supercritical Andronov–Hopf (SAH), double loop (DL) and saddle-loop (SL) bifurcations in the vicinity of their total annihilation, is examined on the highly nonlinear six-variable model for the Bray–Liebhafsky (BL) oscillatory reaction under continuously well-stirred tank reactor (CSTR) conditions. For this kind of the reaction system where the law of mass conservation is additional constraint that must be satisfied and where because of that, some simple bifurcations cannot be formed independently to the others, the considered transformations of the bifurcations are particularly important. That is why as the control parameters for bifurcation analysis, the specific flow rate (j₀), as well as the inflow hydrogen peroxide concentration (h = [H₂O₂]_in), were used. The complex bifurcations obtained from numerical simulations are compared with some experimental results. It was shown that these complex bifurcations cannot be easily recognized in experimental investigations without knowing their evolution.     

Studies in the theory of thermoviscoelasticity

Recent work on thermoviscoelasticity in the Department of Theory of Elasticity of the Mechanics and Mathematics Faculty of M. V. Lomonosov Moscow State University is reviewed.