LP-VIcode：一个计算变分混沌指标集的程序
LP-VIcode: a program to compute a suite of variational chaos indicators
摘要：
在分析一个恒星或行星系统的动力学时，一个重要的问题是可靠地识别其轨道的混沌或规则行为。我们在这里介绍的程序LP-VIcode，一个完全可操作的代码，有效地计算一套10个变分混沌指标的动力系统在任何数量的维度。用户可以选择同时计算以下任意数量的混沌指标：李雅普诺夫指数，邻近轨道的平均指数增长因子，最大李雅普诺夫特征指数的斜率估计，小对准指数，广义对准指数，快速李雅普诺夫指标，正交快速李雅普诺夫指标，拉伸数动力学谱，谱距离，相对李雅普诺夫指标它们以一种有效的方式结合在一起，允许在可能的情况下共享微分方程，并且当其中任何一个饱和时，单独停止计算。
英文摘要：
An important point in analysing the dynamics of a given stellar or planetary system is the reliable identification of the chaotic or regular behaviour of its orbits. We introduce here the program LP-VIcode, a fully operational code which efficiently computes a suite of ten variational chaos indicators for dynamical systems in any number of dimensions. The user may choose to simultaneously compute any number of chaos indicators among the following: the Lyapunov Exponents, the Mean Exponential Growth factor of Nearby Orbits, the Slope Estimation of the largest Lyapunov Characteristic Exponent, the Smaller ALignment Index, the Generalized ALignment Index, the Fast Lyapunov Indicator, the Othogonal Fast Lyapunov Indicator, the dynamical Spectra of Stretching Numbers, the Spectral Distance, and the Relative Lyapunov Indicator. They are combined in an efficient way, allowing the sharing of differential equations whenever this is possible, and the individual stopping of their computation when any of them saturates.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
