Transition from regular to chaotic string loop motion

@inproceedings{45982,
   author = {Kološ, Martin and Stuchlík, Zdeněk},
   address = {Opava},
   booktitle = {Proceedings of RAGtime 10-13: Workshops on black holes and neutron stars},
   keywords = {chaos and regularity; string loop; Schwarzschild; black holes; Lyapunov exponent},
   language = {eng},
   location = {Opava},
   isbn = {978-80-7510-124-2},
   pages = {113-122},
   publisher = {Slezská univerzita v Opavě, Filozoficko-přírodovědecká fakulta, Ústav fyziky},
   title = {Transition from regular to chaotic string loop motion},
   year = {2014}
}

TY  - JOUR
ID  - 45982
AU  - Kološ, Martin - Stuchlík, Zdeněk
PY  - 2014
TI  - Transition from regular to chaotic string loop motion
PB  - Slezská univerzita v Opavě, Filozoficko-přírodovědecká fakulta, Ústav fyziky
CY  - Opava
SN  - 9788075101242
KW  - chaos and regularity
KW  - string loop
KW  - Schwarzschild
KW  - black holes
KW  - Lyapunov exponent
N2  - We study transition from regular to chaotic motion in the neighbourhood of stable equilibrium point of a relativistic current-carrying string-loop located around Schwarzschild black hole. We demonstrate successive transfer from the purely regular, periodic motion through quasi-periodic motion to purely chaotic motion of the string loop, with increasing of its energy. We also calculated quasi-periodic fundamental frequencies, which are important for survival of corresponding KAM tori. Using maximal Lyapunov exponent we show how the chaoticity of the string loop motion changes with increase of the string loop energy.
ER  - 

KOLOŠ, Martin a Zdeněk STUCHLÍK. Transition from regular to chaotic string loop motion. In \textit{Proceedings of RAGtime 10-13: Workshops on black holes and neutron stars}. Opava: Slezská univerzita v Opavě, Filozoficko-přírodovědecká fakulta, Ústav fyziky. s.~113-122. ISBN~978-80-7510-124-2. 2014.