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报告题目:

Isochronous cosmological solutions of the Friedmann Robertson Walker model

报告人:

何孝凯(湖南第一师范学院)

报告时间:

报告地点:

信息与计算科学系办公室(老外语楼304)

报告摘要:

In this talk, the periodic solutions of the equation of Friedmann–Robertson–Walker cosmology with a cosmological constant will be discussed. Using variable transformation, the original second-order ordinary differential equation is converted to a planar dynamical system with cosmic time t. Numerical simulations indicate that period function T(h) of this dynamical system is monotonically increasing. However, a new planar dynamical system could be deduced by using conformal time variable τ. We prove that the new planar dynamical system has two isochronous centers under certain parameter conditions by using Picard–Fuchs equation. Explicitly, we find that there exist two families of periodic solutions with equal period for the new planar dynamical system which is derived from the Friedmann–Robertson–Walker model.