外控弱周期电流约束下电极B-Z反应体系中的时间自组织

以经典BZ化学反应体系的三变量Oregonator模型及电极过程动力学为基础,提出了外控弱周期电极电流约束下电极BZ反应体系与体相BZ反应体系相互耦合的动力学模型.在体相处于稳定定态参数条件下,系统地研究了外控弱周期电流约束下电极BZ反应体系中的动力学行为,定量分析了电流慢变流型上的准定态稳定性及有利于出现极限环振荡区域.研究表明,与以前所报道的外控弱周期电位约束情况类似,在外控弱周期电流约束下电极BZ反应体系中的极限环振荡区域亦发生了蜕变,但体系对外控电流约束中的这种持续性之周期扰动的响应表现在两个方面:有利于出现极限环振荡区域的缩变及原非振荡区胁迫振荡的出现.

Temporal Self-organization of the Electrode B-Z System Controlled Externally by Weak-Periodical Current Constraint

The coupled dynamical model consisting of the electrode B-Z system, and its related bulk phase B-Z system externally controlled by a periodical current is proposed on the basis of the Oregonator model. Dynamical behaviors of the electrode B-Z system, when subjected to external current constraint have been investigated systematically under the condition that the bulk phase is at a steady state. Furthermore, by means of the analytic method of slow manifold the regimes favorable to the appearance of limit-cycle oscillation have been determined on both the current~concentration of BrO3- and the current~model parameter plane respectively. The results are similar to those of experiments controlled externally by weak-periodical potential constraint, as reported in former works. It turns out that a limited cycle oscillatory regime degenerates under external periodical current constraint. Meanwhile, a kind of forced oscillations emerges in the regime where limit-cycle oscillations can t appear under constant current constraint.