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.
Received: 25 September 2004
Revised: 17 March 2005
Accepted manuscript online:
PACS:
98.80.Cq
(Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.))
Fund: 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)
Cite this article:
Chen Ju-Hua (陈菊华), Wang Yong-Jiu (王永久) Chaos in Bianchi I cosmology 2005 Chinese Physics 14 1282
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