Kiss István Z, Lv Qing, Organ Levent, Hudson John L
Department of Chemical Engineering, University of Virginia, 102 Engineers' Way, 22904-4741, Charlottesville, Virginia, USA.
Phys Chem Chem Phys. 2006 Jun 21;8(23):2707-15. doi: 10.1039/b602955h. Epub 2006 Apr 28.
Experiments are carried out with a chemical burster, the electrodissolution of iron in sulfuric acid solution. The system exhibits bursting oscillations in which fast periodic spiking is superimposed on chaotic, slow oscillations. Regularization of the slow dynamics, i.e., transition from chaotic to periodic bursting oscillations, is investigated through changes in the experimental parameters (circuit potential, external resistance, and electrode diameter). These transitions are accompanied by changes in the fast dynamics; a 'Hopf-Hopf' spiking is transformed to 'homoclinic-Hopf' spiking. The periodic bursting is destroyed through a period lengthening process in which the fast spiking region extends to a large fraction of the slow oscillatory cycle until there is no clear distinction between the fast and slow oscillations. Finally, it is shown that the time-scales of the fast spiking and, to a lesser extent, of the slow oscillations (or the occurrence of fast spiking) can be controlled with periodic perturbation of an experimental parameter, the circuit potential.
使用化学爆燃器进行了实验，即铁在硫酸溶液中的电溶解实验。该系统呈现出爆燃振荡，其中快速周期性尖峰叠加在混沌的缓慢振荡之上。通过改变实验参数（电路电势、外部电阻和电极直径）研究了缓慢动力学的正则化，即从混沌爆燃振荡到周期性爆燃振荡的转变。这些转变伴随着快速动力学的变化；“霍普夫 - 霍普夫”尖峰转变为“同宿 - 霍普夫”尖峰。周期性爆燃通过周期延长过程被破坏，在此过程中快速尖峰区域扩展到缓慢振荡周期的很大一部分，直到快速振荡和缓慢振荡之间没有明显区别。最后表明，快速尖峰以及在较小程度上缓慢振荡（或快速尖峰的出现）的时间尺度可以通过对实验参数电路电势进行周期性扰动来控制。
