The LP-VIcode v1.0 (Kaos): A Chaos Indicator Suite

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

Dresden

Workshop; Methods of Chaos detection and Predictability: Theory and Applications; 2013

Max Planck Institute for the Physics of Complex Systems

Since the early work of Hénon and Heiles (1964), the development of indicators of chaos has grown exponentially fast. However, their use is usually restricted to a few of them. Our main goal in the project is to contribute with the diversity factor. Therefore, we introduce the LP-VIcode v1.0 (Kaos), a fully operational suite of variational indicators. Written in standard Fortran and independent of the integration algorithm, the LP-VIcode v1.0 can reliably compute a group of chaos indicators from a growing library. Nowadays, the library consists of the following methods of chaos detection: the Lyapunov Characteristic Numbers, the Dynamical Spectra of Stretching Numbers and the Spectral Distance, the Fast Lyapunov Indicator and the Othogonal Fast Lyapunov Indicator, the Relative Lyapunov Indicator, the Smaller Alignment Index and the Generalized Alignment Index as well as the Mean Exponential Growth factor of Nearby Orbits.