Nonlinear dynamics in the Friedmann equation

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概要

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• We have studied relativistic equations and chaotic behaviors of the gravitational field on the basis of general relativity and nonlinear dynamics. The Friedmann equation shows chaotic behaviors in case of the inflation (G/G>0) and open (ζ=-1) universe. We have shown the following properties of the Friedmann chaos; (1) the sensitive dependence of solutions on the initial values and parameters. (2) the self-similarity of solutions in the x-x plane and the x-ρ plane. Numerical calculations were carried out with the use of the microsoft EXCEL.

• 2006-02-18

著者

• 趙 華安

  Mathematics Department Faculty Of Engineering Kyushu Kyoritsu University

• 水野 裕二

  Department Of Electrical Electronic And Information Engineering Faculty Of Engineering Kyushu Kyorit

• 田中 洋介

  Physics Department Faculty Of Engineering Kyushu Kyoritsu University

• 嘉戸 達彦

  Department of Mechanical Engineering Faculty of Engineering Kyushu Kyoritsu University

関連論文

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