Freire Joana G, Field Richard J, Gallas Jason A C
Instituto de Física, Universidade Federal do Rio Grande do Sul, 91501-970 Porto Alegre, Brazil.
J Chem Phys. 2009 Jul 28;131(4):044105. doi: 10.1063/1.3168400.
We report a detailed numerical investigation of the relative abundance of periodic and chaotic oscillations in phase diagrams for the Belousov-Zhabotinsky (BZ) reaction as described by a nonpolynomial, autonomous, three-variable model suggested by Gyorgyi and Field [Nature (London) 355, 808 (1992)]. The model contains 14 parameters that may be tuned to produce rich dynamical scenarios. By computing the Lyapunov spectra, we find the structuring of periodic and chaotic phases of the BZ reaction to display unusual global patterns, very distinct from those recently found for gas and semiconductor lasers, for electric circuits, and for a few other familiar nonlinear oscillators. The unusual patterns found for the BZ reaction are surprisingly robust and independent of the parameter explored.
我们报告了一项详细的数值研究，该研究针对由Gyorgyi和Field [《自然》（伦敦）355, 808 (1992)] 提出的非多项式、自治、三变量模型所描述的Belousov-Zhabotinsky（BZ）反应相图中周期振荡和混沌振荡的相对丰度。该模型包含14个参数，可对其进行调整以产生丰富的动力学情景。通过计算李雅普诺夫谱，我们发现BZ反应的周期相和混沌相的结构呈现出不寻常的全局模式，这与最近在气体和半导体激光器、电路以及其他一些常见非线性振荡器中发现的模式截然不同。BZ反应中发现的不寻常模式出奇地稳健，且与所探索的参数无关。
