P. Heinamaki et al., 3-BODY DYNAMICS - INTERMITTENT CHAOS WITH STRANGE ATTRACTOR, Monthly Notices of the Royal Astronomical Society, 298(3), 1998, pp. 790-796
We have studied the structure of chaos in three-body dynamics using th
e concept of intermittency, implying that violent states of a system a
lternate in time with quasi-regular states producing together a non-st
ationary and evolving pattern of unpredictable behaviour. Computer sim
ulations are produced to demonstrate explicitly sporadic short violent
bursts in quasi-regular hierarchical states of the systems. This is s
een both in orbits and in the long time series generated by the system
. The time series prove to be similar in shape to what is observed in
various physical experiments with laboratory chaotic systems when they
reveal the so-called type-m intermittency. The new effective methods
of time series analysis enable us to discover a strange attractor with
a fractal dimension slightly above 2. This shows that three-body dyna
mics has the same intrinsic qualitative structure and quantitative mea
sure of chaos as the widely known chaotic system, the Lorenz attractor
.