Torous-like Chemical Oscillation Induced By Heat Conduction-diffusion Coupling Between Chemical Reaction System And Related Environment

Abstract This thesis mainly discussed conservative oscillation system and multiple-steady states chemical reaction system, and the self-organization that might appear as the coupling of system and environment.Multiple-steady states transition is the most important nonlinear phenomena in trimolecular chemical reaction system. Investigation on such phenomena should be significant in both nonlinear chemistry theory and practice. In this kind of system, different steady-states might jump from one to the other (nonequilibrium phase transition), and it is related to the stability theory and security of chemical industry. Further more, if a system has the ability to self-control the parametres, the jump between different states might endow the system some abilities to get used to external environment. A typical model of this kind is a trimolecular Schlogl model, named by the German physicist Schlogl , in which Cusp bifurcation might emerge. Since 1980s, the research work of this model had great progress. R.Li and J.Luo did research work on the multiple-steady states transition in nonideal Schlogl model. It was found out that the nonideality could give birth to two new dynamical characters: (1) the multiple-steady states would transform from tri-steady state to hexa-steady state. (2) Twin-bifurcation and isolas would appear. In recent years the research of Schlogl model in real reaction system turned towards another part: To discuss the coupling of system and environment induced by heat conduction and diffusion, the...