Ben Zion Yossi, Horwitz Lawrence
Department of Physics, Bar Ilan University, Ramat Gan 52900, Israel.
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Oct;76(4 Pt 2):046220. doi: 10.1103/PhysRevE.76.046220. Epub 2007 Oct 23.
We use a geometrical method to distinguish between ordered and chaotic motion in three-dimensional Hamiltonian systems. We show that this method gives results in agreement with the computation of Lyapunov characteristic exponents. We discuss some examples of unstable Hamiltonian systems in three dimensions, giving, as a particular illustration, detailed results for a potential obtained from a Hamiltonian obtained from a Yang-Mills system.
我们使用一种几何方法来区分三维哈密顿系统中的有序运动和混沌运动。我们表明，该方法给出的结果与李雅普诺夫特征指数的计算结果一致。我们讨论了一些三维不稳定哈密顿系统的例子，并作为一个具体例证，给出了从杨-米尔斯系统得到的哈密顿量所导出的势的详细结果。
