Application of the Shannon entropy in the planar (non-restricted) four-body problem: the long-term stability of the Kepler-60 exoplanetary system

@inproceedings{KHovari2021ApplicationOT,
  title={Application of the Shannon entropy in the planar (non-restricted) four-body problem: the long-term stability of the Kepler-60 exoplanetary system},
  author={Emese KHov'ari and B{\'a}lint {\'E}rdi and Zsolt S'andor},
  year={2021}
}
In this paper, we present an application of the Shannon entropy in the case of the planar (non-restricted) four-body problem. Specifically, the Kepler-60 extrasolar system is being investigated with a primary interest in the resonant configuration of the planets that exhibit a chain of mean-motion commensurabilities with the ratios 5:4:3. In the dynamical maps provided, the Shannon entropy is utilized to explore the general structure of the phase space, while, based on the time evolution of the… 

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References

SHOWING 1-3 OF 3 REFERENCES
Diffusion in Hamiltonian Quasi-Integrable Systems
The characterization of di?usion of orbits in Hamiltonian quasiintegrable systems is a relevant topic in dynamics. For quasi-integrable Hamiltonian systems a possible model for global di?usion, valid
A Mathematical Theory of Communication
This paper opened the new area the information theory. Before this paper, most people believed that the only way to make the error probability of transmission as small as desired is to reduce the
Diffusion in Hamiltonian Quasi
  • 2007