利用扩展的三变量布鲁塞尔模型,得到了新的时空斑图,其中包括振荡四边形斑图、调制条纹斑图以及螺旋波斑图.通过对模型进行线性稳定性分析,发现这些时空斑图是由于短波不稳定性所引起的.另外,还研究了系统大小对时空斑图的影响.
[1] 刘富成, 董丽芳, 贺亚峰, 尹增谦. 介质阻挡流光放电中的螺旋波与靶波 [J]. 河北大学学报(自然科学版) 2004.doi:10.3969/j.issn.1000-1565.2004.03.008
[2] CROSS M C, HOHENBERG P. Pattern formation outside of equilibrium [J]. Reviews of Modern Physics 1993, 65.
[3] Ecke RE, Hu YC, Mainieri R, Ahlers G. EXCITATION OF SPIRALS AND CHIRAL SYMMETRY BREAKING IN RAYLEIGH-BENARD CONVECTION [J]. Science 1995, 5231(5231).
[4] OUYANG Q, FLESSELLES J M. Transition from spirals to defect turbulence driven by a convective instability [J]. Nature 1996, 379.
[5] TURING A M. The chemical basis of morphogenesis [J]. Philosophical Transactions Of the Royal Society of London Series B Biological Sciences 1952, 327.
[6] ZAIKIN A N, ZHABOTINSKY A M. Concentration wave propagation in two-dimensional liquid-phase self-oscillating system [J]. Nature 1970, 225.
[7] de Bruyn JR, Lewis BC, Shattuck MD, Swinney HL. Spiral patterns in oscillated granular layers [J]. Physical review.E.Statistical physics, plasmas, fluids, and related interdisciplinary topics 2001, 4 Pt.1(4 Pt.1).
[8] ZHABOTINSY A M, DOLNIK M, EPSTEIN I R. Pattern formation arising from wave instability in a simple reaction-diffusion system [J]. Journal of Chemical Physics 1995, 103.