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@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.
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