We investigate the ability of simple diagnostics based on Lagrangian descriptor (LD)
computations of initially nearby orbits to detect chaos in conservative dynamical systems …

The maximum eccentricity method (MEM,(Dvorak et al. in Astron Astrophys 426 (2): L37–
L40, 2004)) is a standard tool for the analysis of planetary systems and their stability. The …

In this paper, we apply the method of Lagrangian descriptors as an indicator to study the
chaotic and regular behaviors of trajectories in the phase space of the classical double …

Lagrangian descriptors (LDs) based on the arc length of orbits previously demonstrated their
utility in delineating structures governing the dynamics. Recently, a chaos indicator based …

In this paper we investigate the use of Machine Learning techniques, specifically Support
Vector Machines (SVMs), to classify chaotic and regular trajectories in Hamiltonian systems …

In this paper we apply the method of Lagrangian descriptors as an indicator to study the
chaotic and regular behavior of trajectories in the phase space of the classical double …

In this paper, we analyse the classical action as a tool to reveal the phase space structure of
Hamiltonian systems simply and intuitively. We construct a scalar field using the values of …

We present a method for the computation of the Generalized Alignment Index (GALI), a fast
and effective chaos indicator, using a multi-particle approach that avoids variational …

We study the phase space of a particle moving in the gravitational field of a rotating black
hole described by the Kerr metric from a geometrical perspective. In particular, we show the …

TETHERED satellite research is an extremely active and vibrant research area
internationally. The large-scale international effort that continues to be made in tethered …