化学自催化混沌反应模型中的耦合作用与混沌同步

选用混沌自催化反应作为子系统,构造了耦合自催化反应系统,研究了耦合变量、耦合系数对混沌动力学行为的影响,给出了不同耦合系数下系统的动力学特征,探讨了耦合作用机制.结果表明,耦合作用能明显地改变子系统的动力学行为,强化系统间的相关性.耦合后的混沌运动受到调整与抑制,耦合强度加大时,呈现出混沌运动轨线的周期化,耦合系数大于临界值,两子系统实现了完全的同步.不同变量的耦合时,影响最大的是第二种变量.对于三种物质均有耦合时,更容易出现混沌的抑制、运动状态的锁相与周期化和混沌的完全同步.

Coupling Action and Chaos Synchronization of Coupled Reaction Model of Chemical Autocatalator *

A new-coupled model of chemical chaos reaction for autocatalator is presented for studying couplingaction between the subsystems of chemical autocatalator. The chaotic dynamics for the model is investigated by changing coupling coefficient. The results show that the coupling can apparently change the dynamics for the model, intensify the correlation between subsystems, and result in the diminution of amplitude for aperiodical oscillations and the disappearance of some oscillations. The regulation, suppression, periodization and synchronization of the subsystem dynamics of the coupled autocatalator reaction are in turn exhibited with the increase of the coupling coefficient between subsystems. Although the coupling of every substance concentration in the reaction can change the dynamics behavior of the system, the influence of the concentration of the second species is the most important of the three substances. The results can explain the impact of the asymmetry on system dynamic and complicated behavior. It is proved that the coupling is feasible to control chaotic behavior, stabilize high periodical orbits and implement chaos synchronization in nonlinear chemical reaction.