Publication date: Dec 2014
Abstract:
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
Authors:
Kološ, Martin; Stuchlík, Zdeněk;