Free motion around black holes with discs or rings: between integrability and chaos - II

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10131655" target="_blank" >RIV/00216208:11320/12:10131655 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1111/j.1365-2966.2012.21630.x" target="_blank" >http://dx.doi.org/10.1111/j.1365-2966.2012.21630.x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1111/j.1365-2966.2012.21630.x" target="_blank" >10.1111/j.1365-2966.2012.21630.x</a>

Result language
angličtina
Original language name
Free motion around black holes with discs or rings: between integrability and chaos - II
Original language description
We continue the study of time-like geodesic dynamics in exact static, axially and reflection symmetric spacetimes describing the fields of a Schwarzschild black hole surrounded by thin discs or rings. In the previous paper, the rise (and decline) of geodesic chaos with ring/disc mass and position and with test particle energy was revealed on Poincare sections, on time series of position or velocity and their power spectra, and on time evolution of the orbital latitudinal action. In agreement with the KAM theory of nearly integrable dynamical systems and with the results observed in similar gravitational systems in the literature, we found orbits of very different degrees of chaoticity in the phase space of perturbed fields. Here we compare selected orbits in more detail and try to classify them according to the characteristics of the corresponding phase-variable time series, mainly according to the shape of the time-series power spectra, and also applying two recurrence methods: the me
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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