摘要
Patterns containing multiple length scales arise in a variety of natural systems such as lateral veins in leaves, fingerprints, wrinkled skin, and dendritic crystals. Here we observe period-doubling and bursting instabilities in the spatial extent of wave propagation in a gel-filled capillary tube open at one end and containing the Belousov-Zhabotinsky (BZ) reaction-diffusion system. We analyze the relationship between the multiple propagation distances of pulse waves and the local kinetics of the reaction-diffusion system. Simulations with a five-variable Oregonator model qualitatively mimic the multiple length scale patterns of pulse propagation observed in our experiments, suggesting that the study of these phenomena in reaction-diffusion systems may be helpful in understanding complex multiple length scale dynamical behaviors in nature.
- 出版日期2013-11-21
- 单位中国矿业大学(北京)