The research done aimed to develop numerical techniques to characterise the chaoticity of a dynamical system, as well as the impact of this chaoticity in the predictability of the system. The main goal was to apply these techniques to simple galactic models. In an initial phase, we studied a variety of systems and orbits, both confined and open. We found complex structures in the escape basins of the Henon-Heiles system and a variable fractality in the delay plots in a system with transient chaos. Finally, we characterised a set of prototypical orbits in the Henon-Heiles system through the use of the distributions of finite-time Lyapunov exponents. In a second phase, we have analysed the behavior of those distributions as the finite-time interval increases. Then, we have derived a predictability index from those distributions. Finally, we have applied such an index to a set of orbits in different galactic models.
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