Marts Bradley, Simpson David J W, Hagberg Aric, Lin Anna L
Center for Nonlinear and Complex Systems and Department of Physics, Duke University, Durham, North Carolina 27708, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Aug;76(2 Pt 2):026213. doi: 10.1103/PhysRevE.76.026213. Epub 2007 Aug 21.
Using an open-flow reactor periodically perturbed with light, we observe subharmonic frequency locking of the oscillatory Belousov-Zhabotinsky chemical reaction at one-sixth the forcing frequency (6:1) over a region of the parameter space of forcing intensity and forcing frequency where the Farey sequence dictates we should observe one-third the forcing frequency (3:1). In this parameter region, the spatial pattern also changes from slowly moving traveling waves to standing waves with a smaller wavelength. Numerical simulations of the FitzHugh-Nagumo equations show qualitative agreement with the experimental observations and indicate that the oscillations in the experiment are a result of period doubling.
通过使用一个由光周期性扰动的开放流动反应器,我们观察到在强迫强度和强迫频率的参数空间区域内,振荡的贝洛索夫 - 扎博廷斯基化学反应在六分之一强迫频率(6:1)处出现次谐波频率锁定,而在该参数空间区域,法里序列表明我们应该观察到三分之一强迫频率(3:1)。在这个参数区域,空间模式也从缓慢移动的行波转变为波长更小的驻波。菲茨休 - 纳古莫方程的数值模拟与实验观测结果在定性上一致,并表明实验中的振荡是倍周期的结果。