Phase Space Analysis of Multibody Systems Using Lie-Transforms Approach

1990 ◽  
Author(s):  
N. Sreenath
1998 ◽  
Vol 21 (6) ◽  
pp. 463-475 ◽  
Author(s):  
Q. Liu ◽  
S. Islam ◽  
I. Rodriguez-Iturbe ◽  
Y. Le

2004 ◽  
Vol 70 (4) ◽  
Author(s):  
M. K. Olsen ◽  
A. B. Melo ◽  
K. Dechoum ◽  
A. Z. Khoury

2021 ◽  
pp. 2150052
Author(s):  
Qihong Huang ◽  
Ruanjing Zhang ◽  
Jun Chen ◽  
He Huang ◽  
Feiquan Tu

In this paper, we analyze the universe evolution and phase space behavior of the Umami Chaplygin model, where the Umami Chaplygin fluid replaces both a dark energy and a dark and baryonic matter. We find the Umami Chaplygin model can be stable against perturbations under some conditions and can be used to explain the late-time cosmic acceleration. The results of phase space analysis show that there exists a late-time accelerated expansion attractor with [Formula: see text], which indicates the Umami Chaplygin fluid can behave as a cosmological constant. Moreover, the Umami Chaplygin model can describe the expansion history of the universe. The evolutionary trajectories of the statefinder diagnostic pairs and the finite time future singularities are also discussed.


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