58 citations · 210 across the 10 of their papers we have counts for
5 papers · 1 filter
The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy
Zsolt Sándor, Nicolás Maffione
A recently introduced chaos detection method, the Relative Lyapunov Indicator (RLI) is investigated in the cases of symplectic mappings and continuous Hamiltonian systems. It is sh…
Chaos detection tools: application to a self-consistent triaxial model
Nicolás Maffione, Luciano Darriba, Pablo Cincotta +1
Together with the variational indicators of chaos, the spectral analysis methods have also achieved great popularity in the field of chaos detection. The former are based on the co…
Comparative study of variational chaos indicators and ODEs' numerical integrators
Luciano A. Darriba, Nicolás P. Maffione, Pablo M. Cincotta +1
The reader can find in the literature a lot of different techniques to study the dynamics of a given system and also, many suitable numerical integrators to compute them. Notwithst…
Testing a Fast Dynamical Indicator: The MEGNO
Nicolas Maffione, Claudia Giordano, Pablo Cincotta
To investigate non-linear dynamical systems, like for instance artificial satellites, Solar System, exoplanets or galactic models, it is necessary to have at hand several tools, su…
A comparison of different indicators of chaos based on the deviation vectors. Application to symplectic mappings
N. P. Maffione, L. A. Darriba, P. M. Cincotta +1
The aim of this research work is to compare the reliability of several variational indicators of chaos on mappings. The Lyapunov Indicator (LI); the Mean Exponential Growth factor…