LP-VIcode: a program to compute a suite of variational chaos indicators

D. D. CARPINTERO; N. MAFFIONE; L. DARRIBA

Astronomy and Computing

Elsevier

Lugar: Ámsterdam; Año: 2014 vol. 5 p. 19 - 27

2213-1337

An important point in analyzing the dynamics of a given stellar or planetary system is the reliableidentification of the chaotic or regular behavior of its orbits.We introduce here the program LP-VIcode, afully operational code which efficiently computes a suite of ten variational chaos indicators for dynamicalsystems in any number of dimensions. The user may choose to simultaneously compute any number ofchaos indicators among the following: the Lyapunov Exponents, the Mean Exponential Growth factorof Nearby Orbits, the Slope Estimation of the largest Lyapunov Characteristic Exponent, the SmallerALignment Index, the Generalized ALignment Index, the Fast Lyapunov Indicator, the Orthogonal FastLyapunov Indicator, the dynamical Spectra of Stretching Numbers, the Spectral Distance, and the RelativeLyapunov Indicator. They are combined in an efficient way, allowing the sharing of differential equationswhenever this is possible, and the individual stopping of their computation when any of them saturates.