Bifurcation and global dynamical behavior of the f(T) theory

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	Bifurcation and global dynamical behavior of the f(T) theory
	Feng, CJ ; Li, XZ ; Liu, LY
刊名	MODERN PHYSICS LETTERS A
	2014
卷号	29 期号:7 页码:1450033
关键词	GENERAL-RELATIVITY COSMOLOGY GRAVITY TORSION
ISSN号	0217-7323
通讯作者	Feng, CJ (reprint author), Shanghai Normal Univ, Shanghai United Ctr Astrophys, 100 Guilin Rd, Shanghai 200234, Peoples R China.
英文摘要	Usually, in order to investigate the evolution of a theory, one may find the critical points of the system and then perform perturbations around these critical points to see whether they are stable or not. This local method is very useful when the initial values of the dynamical variables are not far away from the critical points. Essentially, the nonlinear effects are totally neglected in such kind of approach. Therefore, one cannot tell whether the dynamical system will evolute to the stable critical points or not when the initial values of the variables do not dose enough to these critical points. Furthermore, when there are two or more stable critical points in the system, local analysis cannot provide the information on which the system will finally evolute to. In this paper, we have further developed the nullcline method to study the bifurcation phenomenon and global dynamical behavior of the f(T) theory. We overcome the shortcoming of local analysis. And, it is very clear to see the evolution of the system under any initial conditions.
学科主题	Physics
收录类别	SCI
资助信息	National Science Foundation of China [11105091, 11047138]; Shanghai Municipal Education Commission and Shanghai Education Development Foundation Grant [12CG51]; National Education Foundation of China Grant [2009312711004]; Shanghai Natural Science Foundation, China Grant [10ZR1422000]; Key Project of Chinese Ministry of Education Grant [211059]; Shanghai Special Education Foundation [ssd10004]; Program of Shanghai Normal University [DXL124]
原文出处	http://dx.doi.org/10.1142/S0217732314500333
语种	英语
WOS记录号	WOS:000333043500002
公开日期	2015-06-03
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/15812]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Feng, CJ,Li, XZ,Liu, LY. Bifurcation and global dynamical behavior of the f(T) theory[J]. MODERN PHYSICS LETTERS A,2014,29(7):1450033.
APA	Feng, CJ,Li, XZ,&Liu, LY.(2014).Bifurcation and global dynamical behavior of the f(T) theory.MODERN PHYSICS LETTERS A,29(7),1450033.
MLA	Feng, CJ,et al."Bifurcation and global dynamical behavior of the f(T) theory".MODERN PHYSICS LETTERS A 29.7(2014):1450033.