中国物理B ›› 2005, Vol. 14 ›› Issue (7): 1282-1286.doi: 10.1088/1009-1963/14/7/002

• GENERAL • 上一篇    下一篇

Chaos in Bianchi I cosmology

陈菊华, 王永久   

  1. College of Physics and Information Science, Hunan Normal University, Changsha 410081, China
  • 收稿日期:2004-09-25 修回日期:2005-03-17 出版日期:2005-06-20 发布日期:2005-06-20
  • 基金资助:
    Project supported by the State Key Development Program for Basic Research of China (Grant No 2003CB716300) and Educational Department of Hunan Province, China (Grant No 21020523)

Chaos in Bianchi I cosmology

Chen Ju-Hua (陈菊华), Wang Yong-Jiu (王永久)   

  1. College of Physics and Information Science, Hunan Normal University, Changsha 410081, China
  • Received:2004-09-25 Revised:2005-03-17 Online:2005-06-20 Published:2005-06-20
  • Supported by:
    Project supported by the State Key Development Program for Basic Research of China (Grant No 2003CB716300) and Educational Department of Hunan Province, China (Grant No 21020523)

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摘要： We have investigated the dynamical evolution of the Yang--Mills (YM) field in Bianchi I cosmology background. We find that the long-time evolution behaviour of the YM field is highly sensitive to initial conditions, i.e. small fluctuations of initial conditions for fixed Hamiltonian of the system may rapidly change the evolution of the field. By using the Poincar\'{e} section method, we further illustrate that the dynamical evolution of the YM field in Bianchi I cosmology background has certain typically chaotic properties.

Abstract: We have investigated the dynamical evolution of the Yang--Mills (YM) field in Bianchi I cosmology background. We find that the long-time evolution behaviour of the YM field is highly sensitive to initial conditions, i.e. small fluctuations of initial conditions for fixed Hamiltonian of the system may rapidly change the evolution of the field. By using the Poincar\'{e} section method, we further illustrate that the dynamical evolution of the YM field in Bianchi I cosmology background has certain typically chaotic properties.

Key words: chaos, Poincar\'e section method, dynamical evolution

中图分类号:  (Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.))

  • 98.80.Cq
05.45.-a (Nonlinear dynamics and chaos) 11.15.-q (Gauge field theories)