Three-body dynamics: intermittent chaos with strange attractor

被引:9
作者
Heinamaki, P [1 ]
Lehto, HJ
Valtonen, MJ
Chernin, AD
机构
[1] Univ Turku, Turku Observ, Tuorla 21500, Piikkio, Finland
[2] Moscow MV Lomonosov State Univ, Sternberg Astron Inst, Moscow 119899, Russia
关键词
chaos; methods : numerical; celestial mechanics; stellar dynamics;
D O I
10.1046/j.1365-8711.1998.01661.x
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We have studied the structure of chaos in three-body dynamics using the concept of intermittency, implying that violent states of a system alternate in time with quasi-regular states producing together a non-stationary and evolving pattern of unpredictable behaviour. Computer simulations are produced to demonstrate explicitly sporadic short violent bursts in quasi-regular hierarchical states of the systems. This is seen 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 dynamics has the same intrinsic qualitative structure and quantitative measure of chaos as the widely known chaotic system, the Lorenz attractor.
引用
收藏
页码:790 / 796
页数:7
相关论文
共 23 条
[1]   GLOBAL CHAOTICITY IN THE PYTHAGOREAN 3-BODY PROBLEM [J].
AARSETH, SJ ;
ANOSOVA, JP ;
ORLOV, VV ;
SZEBEHELY, VG .
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1994, 58 (01) :1-16
[2]  
Agekyan T.A., 1967, Soviet Phys. Astron., V44, P1261
[3]  
ALEKSEEV VM, 1981, AM MATH SOC TRANSL, V2, P112
[4]  
[Anonymous], 1993, CHAOS DYNAMICAL SYST
[5]  
ANOSOVA JP, 1985, TOTALS SCI TECHNOL S, V26, P57
[6]  
ANTONOV VA, 1993, ASTRON LETT+, V19, P312
[7]  
CHERNIN AD, 1994, ASTRON ASTROPHYS, V281, P685
[8]   EXPERIMENTAL-EVIDENCE OF INTERMITTENCIES ASSOCIATED WITH A SUBHARMONIC BIFURCATION [J].
DUBOIS, M ;
RUBIO, MA ;
BERGE, P .
PHYSICAL REVIEW LETTERS, 1983, 51 (16) :1446-1449
[9]  
GEISEL T, 1985, CHAOS ASTROPHYSICS, P165
[10]  
GRASSBERGER P, 1983, PHYS REV LETT, V50, P448