Belousov-Zhabotinsky化学体系中混沌同步的自适应参数调节法研究

采用自适应参数调节法 ,对两个BZ CSTR化学体系混沌动力学行为的同步进行了数值模拟研究 ,并采用横截Lyapunov指数判据确认同步行为的稳定性 .还对该方法进行了改进 ,得出了具有实验可行性的参数调节律 ,结果发现 ,只有当 Ce4+ ]作为检测变量 ,并且参与对参数的调节作用时 ,才有可能实现混沌的同步 ,而 Br-]则不能 .此外 ,还通过平均同步时间的计算研究了不同刚性常数ε与衰减常数δ组合的同步效率

Chaos Synchronization in the Belousov-Zhabotinsky Chemical Reaction by Self-Adaptive Parameter Adjustment Scheme

Employing the self adaptive parameter adjustment scheme, the chaotic dynamical behaviors in the coupled Belousove Zhabotinsky CSTR chemical system were investigated numerically. The confirmation of synchronization is using the criteria of maximum transverse Lyapunov exponent. The results show that when all the variables are involved in the parameter adjustment rule, the chaos synchronization between the response and the target systems were obtain. However, as only some of the variables can be detected easily in the real experiment, there are difficulties in employing this scheme experimentally. Therefore, that scheme to investigate the role of single variable separately were modified. The results show that no chaos synchronization can be obtained when \Br -\] and \ are used separately, except when \Ce 4+ \] and \ are used. However, there is no easy way to detect \ in the experiment, \Ce 4+ \] becomes the unique feasible variable involved in the adjustment role. Besides, the synchronization efficiency of different combinations of stiff constant and damping constants has been studied by means of synchronization arriving time. becomes the unique feasible variable involved in the adjustment role. Besides, the synchronization efficiency of different combinations of stiff constant and damping constants has been studied by means of synchronization arriving time. WT5HZ