Bifurcation Phenomena Of Schlogl Model In Amagat Gaseous Mixture The Influence Of Nonideality Of Externally Controlled And Intermediate Components On Bifur-cation And Stability Of Multiple Steady State Solutions

The varied spontaneously ordered structures of space and time are the common phenomena of nature and society, in the macroscopic systems that are controlled by the nonlined mechanism and keep away equilibrium. Now, the studies of these subjects have developed in many aspects, esp, in academic physics, academic chemistry, academic biologies, furthermore in economics, in informatics1151. Because nonlined-science has developed in foundational subjects, if you are a chemist or a physicist, then you must mastery it. Without fail, studying the really nonlined systems is an important program.We aim to study bifurcation and stability phenomena of multiple solutions of a nonideality and nonlined systems ?Amagat gaseous mixture. Many ideally reactionary梔iffused dynamics processes models have been structured by a lot of scientists. This article aim to study the influence of nonideality on bifurcation and stability of multiple steady state solutions of Amagat gaseous mixture and get the following results and merits.Firstly three kinds of nonidealities of systems are defined due to the nonideality of reactionary?diffused Schlogl model. One: influence of intermediate component; Two: influence of externally controlled component; Three: influence of externally controlled and intermediatecomponent.Secondly when we carefully retrospect and discuss the influence of intermediate component on bifurcation and stability of multiple steady state solutions, we can find that the divergence and disappearance of multiple solutions. As we comprehensively study the influence of nonideality of externally controlled components on bifurcation and stability of multiple steady state solutions, the separation of multiple state solutions' region are fond through analyzing boundary condition and activity condition.Thirdly there we characterize thermodynamics' character of Araagat gaseous mixture in a general way. And we combine the fugasity rule with the foundational thermodynamics, the general characters of activity and fugasity of Amagat gaseous mixture are described and the common conclusions are gained-at the same temperature and total pressure activity coefficient and fugasity coefficient of Amagat gaseous mixture are constant and in general case fugasity (or activity) coefficient can be expressed as a function of concentrations of every components.Fourthly this is main content of the article. We particularly study the influence of nonideality of externally controlled and intermediate components on bifurcation and stability of multiple steady state solutions of Schlogl model of Amagat gaseous mixture. In this case, we find that the twin bifurcation phenomena caused by the nonideality of externally controlled components tend to disappear, but the isolas can still exist. As a results, the phenomena of isolas breaking the bifurcation is the general character of the influence of nonideality of externally controlled components on bifurcation and stability of multiple steady state solutions' transition.Summarily in this paper we have successfully developed and progressed the influence of nonideality on the stabilityof systems based on the conclusion of the formers. And we have advanced the former work. This results is a testimony of importance of studying the really nonlined systems.