A Kind Of Bifurcation And Chaos Of The Chemical Oscillating System

The B-Z chemical reaction is one of the frontier problems in the academic analysis and testing research at all times,since it is discovered. Most research is based on temporal data,which denote the simplex essentially chemical resonance.With the development of the modern nonlinear analytical methods,which provide effective tool for studying various complex phenomena of nonlinear systems.When parameters and the initial conditions of the Belousov-Zhabotinsky model changed in the CSTR chemical systems,the complex mechanism is investigated by applying the modern nonlinear analytical methods,which may provide the theoretical basement for improving the efficiency of practical chemical reaction and the precisely numerical result.At first,the dynamic behaviors of a 3-variable CSTR reaction system are analyzed in this paper.By using numerical simulation method,we discuss the process of variation of the stability state along with the parameters.Several bifurcation models and the associated transition boundaries of the system are given.Analysis gives that equilibrium point will change to periodical solution by Hopf bifurcation,and further to chaotic solution from period-doubling bifurcation.Combined with the reaction process of the CSTR,we believe that the reaction coefficient and the reaction velocity in the system will move from steady phase to periodic phase and in the end to a ruleless chemical resonance state along with different ratio of content in input liquor.Second,we analyse the coupled 3-variable CSTR systems.By using numerical simulation method,we discuss the process of the chaotic solution from period-doubling bifurcation along with the parameters.A series of figures are given from equilibrium point to chaos.Analysis gives that the dynamic behaviors of the coupled CSTR reaction system is equivalent to the condition in single CSTR reaction system.Third,by using numerical simulation method,modified 4-variable Oregonator model is truly reflected system's behavior of dynamics.Many phenomena of the nonlinear dynamics are disclosed in this study,such as the period 1,the period 2,the chaos and the period-doubling bifurcation. The behavior of the chaos is calculated,and the evolvement of the system is investigated along with the parameters k_f.Analysis gives that equilibrium point will change to chaotic solution and further to periodical solution from period-doubling bifurcationm,in the end go back to chaotic solution.At last,some meaningful results are summarized in the end of this paper.Also some existing problems as well as the future work are pointed out.