标题： 一个新的动力学指标用于检测银河哈密顿系统的混沌行为 显示英文标题

标题： A new dynamical indicator for chaos detection in galactic Hamiltonian systems

摘要： 引入了一种新的动力学参数——f 指标，并用于区分星系哈密顿系统中的规则运动和混沌运动。使用了两种类型的星系势：(i) 整体势，描述整个星系；(ii) 局部势，由扰动的谐振子组成，描述近平衡点处的运动。新指标基于可分离系统沿 x、y 和 z 轴的能量。与使用最大李雅普诺夫指数（L.C.E）或其他方法（如 S(c) 动力学谱）所获得的结果相比，新动力学指标能够快速且可靠地给出轨道的规则或混沌特性。新指标已在多个具有两自由度（2D）和三自由度（3D）的哈密顿系统中进行了测试。 显示英文摘要

摘要： A new dynamical parameter, the f-indicator, is introduced and used in order to distinguish between regular and chaotic motion in galactic Hamiltonian systems. Two kinds of galactic potentials are used: (i) a global potential, which describes the whole galaxy and (ii) a local potential, which is made up of perturbed harmonic oscillators and describes motion near an equilibrium point. The new indicator is based on the energies of the separable system along the x, y and z axis. Comparison between the outcomes obtained using the new dynamical parameter and other methods, such as the maximum Lyapunov Characteristic Exponent (L.C.E), or the S(c) dynamical spectrum, shows that the new dynamical indicator gives fast and reliable results concerning the regular or chaotic character of the orbits. The new indicator was tested in several Hamiltonian systems of two (2D) degrees and three (3D) degrees of freedom.