标题： 大气二氧化碳在千年时间尺度上的混沌动力学 显示英文标题

标题： Chaotic dynamics of atmospheric CO_2 at millennial timescales

摘要： 直接证据显示大气CO_2动态对倾角周期强迫的混沌响应已在过去650千年的大气$CO_2$数据重建中被发现。 与线性系统不同，周期强迫会导致周期响应，而非线性混沌响应周期强迫可能导致指数衰减的宽带功率谱，衰减率T_e等于强迫的周期。 结果显示重建的时间序列的功率谱有一个指数衰减的宽带部分，T_e=41千年前，即观测到的衰减率T_e等于倾角周期强迫的周期。 然后，功率谱的低频峰对应于底层动力系统的基本振荡，大约为100千年前的周期。 这可以被视为冰川循环著名的41-100千年前问题的解决方案。 显示英文摘要

摘要： Direct evidence of chaotic response of the atmospheric CO_2 dynamics to obliquity periodic forcing has been found in a reconstruction of atmospheric $CO_2$ data, for the past 650 kyr. Unlike linear systems, where periodic forcing leads to periodic response, nonlinear chaotic response to periodic forcing can result in exponentially decaying broad-band power spectrum with decay rate T_e equal to the period of the forcing. It is shown that power spectrum of the reconstructed time series has an exponentially decaying broad-band part with T_e =41 kyr, i.e. the observed decay rate T_e equals the period of the obliquity periodic forcing. Then, low-frequency peak of the power spectrum corresponds to fundamental oscillation of the underlying dynamical system with about 100 kyr period. This can be considered as a solution of the well known 41-100 kyr problem of the glaciation cycles.