论文标题
Lennard下的三个粒子阵列的混沌动力学 - 琼斯型力和固定面积约束
Chaotic dynamics of a three particle array under Lennard--Jones type forces and a fixed area constraint
论文作者
论文摘要
我们认为，对于三个颗粒的系统，将颗粒间力作为Lennard-Jones型潜力的梯度梯度。此外，我们假设三个粒子阵列受固定面积的约束。相应的数学问题是由面积约束确定的歧管上的保守动力系统的问题。我们以数字研究该系统的稳定性。特别是，使用Hunt and Ott（2015）最近引入的混乱度量，我们从数字上研究了该系统的混乱行为可能性。
We consider the dynamical problem for a system of three particles in which the inter-particle forces are given as the gradient of a Lennard-Jones type potential. Furthermore we assume that the three particle array is subject to the constraint of fixed area. The corresponding mathematical problem is that of a conservative dynamical system over the manifold determined by the area constraint. We study numerically the stability of this system. In particular, using the recently introduced measure of chaos by Hunt and Ott (2015), we study numerically the possibility of chaotic behavior for this system.
