论文信息 - On the dynamics of periodically forced chemical reactors

On the dynamics of periodically forced chemical reactors

A method for studying the dynamics of periodically forced chemical reactors is presented along with the appropriate numerical techniques for its implementation. The method is capable of routinely treating many characteristics of forced oscillatory systems such as subharmonic and related bifurcations, bifurcations to invariant tori and frequency locking. It involves direct solution for the fixed points of the stroboscopic map. This procedure is particularly suitable for detecting certain routes to deterministic chaos such as the Feigenbaum period doubling cascade. Some illustrative examples from a homogeneous catalytic reactor model are included.

[1] H. Poincaré,et al. Les méthodes nouvelles de la mécanique céleste , 1899 .

[2] I. Prigogine,et al. Symmetry Breaking Instabilities in Dissipative Systems. II , 1968 .

[3] D. E. Cormack,et al. Influence of oscillating external pressure on gas-phase reactions in porous catalysts , 1978 .

[4] P. Holmes,et al. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.

[5] P. Holmes,et al. New Approaches to Nonlinear Problems in Dynamics , 1981 .

[6] G. Iooss,et al. Elementary stability and bifurcation theory , 1980 .

[7] James E. Bailey,et al. Pat-hological dynamic behavior of forced periodic chemical processes , 1977 .

[8] James E. Bailey,et al. PERIODIC OPERATION OF CHEMICAL REACTORS: A REVIEW , 1974 .

[9] Michael B. Cutlip,et al. Concentration forcing of catalytic surface rate processes: Part I. Isothermal carbon monoxide oxidation over supported platinum , 1979 .

[10] K. Tomita,et al. Chaotic response of nonlinear oscillators , 1982 .

[11] H. Keller. Numerical Solution of Two Point Boundary Value Problems , 1976 .

[12] W. Morton,et al. MODELLING OF FORCED PERIODIC OSCILLATIONS OF CARBON MONOXIDE OXIDATION OVER PLATINUM CATALYST , 1983 .

[13] P. L. Silveston,et al. Forced cycling of the catalytic oxidation of CO over a V2O5 catalyst—I: concentration cycling , 1980 .

[14] F. J. M. Horn,et al. Periodic Processes: A Variational Approach , 1967 .