http://arxiv.org/abs/1501.07264
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 shown that the RLI is an efficient numerical tool in determining the true nature of individual orbits, and in separating ordered and chaotic regions of the phase space of dynamical systems. A comparison between the RLI and some other variational indicators are presented, as well as the recent applications of the RLI to various problems of dynamical astronomy.
Z. Sandor and N. Maffione
Thu, 29 Jan 15
43/49
Comments: 39 pages, 21 figures. Non proof read version of the paper accepted in Lecture Notes in Physics
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