The Shannon entropy: An efficient indicator of dynamical stability
نویسندگان
چکیده
In this work it is shown that the Shannon entropy an efficient dynamical indicator provides a direct measure of diffusion rate and thus time-scale for instabilities arising when dealing with chaos. Its computation just involves solution Hamiltonian flow, variational equations are not required. After review theory behind approach, two particular applications presented; 4D symplectic map exoplanetary system HD 181433, approximated by Planar Three Body Problem. Successful results obtained instability time-scales compared long range integrations (N-body or iterations). Comparative maps reveal novel technique much more information than classical chaos indicator.
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2021
ISSN: ['1872-8022', '0167-2789']
DOI: https://doi.org/10.1016/j.physd.2020.132816