3-BODY DYNAMICS - INTERMITTENT CHAOS WITH STRANGE ATTRACTOR

Citation
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
Citations number
23
Categorie Soggetti
Astronomy & Astrophysics
ISSN journal
00358711
Volume
298
Issue
3
Year of publication
1998
Pages
790 - 796
Database
ISI
SICI code
0035-8711(1998)298:3<790:3D-ICW>2.0.ZU;2-T
Abstract
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 .