Chin. Phys. Lett.  2009, Vol. 26 Issue (6): 069801    DOI: 10.1088/0256-307X/26/6/069801
Original Articles |
Dynamical Stability and Attractor of the Variable Generalized Chaplygin Gas Model
FU Huan-Huan, WU Ya-Bo, CHENG Fang-Yuan
Department of Physics, Liaoning Normal University, Dalian 116029
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FU Huan-Huan, WU Ya-Bo, CHENG Fang-Yuan 2009 Chin. Phys. Lett. 26 069801
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Abstract For the variable generalized Chaplygin gas (VGCG) as a dynamical system, its stability is analyzed and the related dynamical attractors are investigated. By analysis it is shown that there are two critical points corresponding to the matter-dominated phase and the VGCG dark energy-dominated phase, respectively. Moreover, when the parameters n, α and γ take some fixed values, the phase with ωVGCG= -0.92 is a dynamical attractor and the equation of state of VGCG reaches it from either ωVGCG > -1 or ωVGCG< -1, independent of the initial values of the dynamical system. This shows a satisfactory cosmological model: the early matter-dominated era, followed by the dark energy-dominated era. Meanwhile, the evolutions of density parameters Ωγ and ΩVGCG are quite different from each other. For different initial values of x and y,Ωγ decreases and ΩVGCG increases as the time grows, they will eventually approach Ωγ=0 and ΩVGCG= 1. Furthermore, since different values of n or α may lead to different equation-of-state parameters ΩVGCG, we also discuss the constraints on the parameters n and α by the observation data.
Keywords: 98.80.Es      98.80.Jk     
Received: 11 August 2008      Published: 01 June 2009
PACS:  98.80.Es (Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc))  
  98.80.Jk (Mathematical and relativistic aspects of cosmology)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/26/6/069801       OR      https://cpl.iphy.ac.cn/Y2009/V26/I6/069801
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FU Huan-Huan
WU Ya-Bo
CHENG Fang-Yuan
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