Stable attractors in the three-dimensional general relativistic Poynting-Robertson effect

@article{49453,
   author = {De Falco, Vittorio and Bakala, Pavel},
   article_number = {2},
   doi = {http://dx.doi.org/10.1103/PhysRevD.101.024025},
   keywords = {STABILITY},
   language = {eng},
   issn = {2470-0010},
   journal = {Physical Review D},
   title = {Stable attractors in the three-dimensional general relativistic Poynting-Robertson effect},
   url = {https://journals.aps.org/prd/abstract/10.1103/PhysRevD.101.024025},
   volume = {101},
   year = {2020}
}

TY  - JOUR
ID  - 49453
AU  - De Falco, Vittorio - Bakala, Pavel
PY  - 2020
TI  - Stable attractors in the three-dimensional general relativistic Poynting-Robertson effect
JF  - Physical Review D
VL  - 101
IS  - 2
SP  - "024025-1"-"024025-12"
EP  - "024025-1"-"024025-12"
SN  - 24700010
KW  - STABILITY
UR  - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.101.024025
N2  - We prove the stability of the critical hypersurfaces associated with the three-dimensional general relativistic Poynting-Robertson effect. The equatorial ring configures to be as a stable attractor and the whole critical hypersurface as a basin of attraction for this dynamical system. We introduce a new, simpler (in terms of calculations), and more physical approach within the Lyapunov theory. We propose three different Lyapunov functions, each one carrying important information and very useful for understanding such phenomenon under different aspects.
ER  - 

DE FALCO, Vittorio a Pavel BAKALA. Stable attractors in the three-dimensional general relativistic Poynting-Robertson effect. \textit{Physical Review D}. 2020, roč.~101, č.~2, s.~''024025-1''-''024025-12'', 12 s. ISSN~2470-0010. Dostupné z: https://dx.doi.org/10.1103/PhysRevD.101.024025.