冰川旋回概念模型中有序与混沌之间的动力学
Dynamics between order and chaos in conceptual models of glacial cycles
摘要：
用动力系统理论研究了冰川旋回的动力学。我们探讨的气候状态的天文强迫阶段的依赖性，通过检查文献中提出的冰川周期的五个概念模型。该模型可以表示为拟周期强迫动力系统。结果表明，其中四个表现出一个奇怪的非混沌吸引子（SNA），这是一个中间制度之间的准周期性和混沌。因此，气候状态对天文强迫相位的依赖关系不是由光滑关系给出的，而是构成一个几何上的奇异集合。我们的研究结果表明，SNA的动力学是一个候选人的冰川周期的动力学，除了众所周知的准周期性和混沌动力学。
英文摘要：
The dynamics of glacial cycles is studied in terms of the dynamical systems theory. We explore the dependence of the climate state on the phase of astronomical forcing by examining five conceptual models of glacial cycles proposed in the literature. The models can be expressed as quasiperiodically forced dynamical systems. It is shown that four of them exhibit a strange nonchaotic attractor (SNA), which is an intermediate regime between quasiperiodicity and chaos. Then, the dependence of the climate state on the phase of astronomical forcing is not given by smooth relations, but constitutes a geometrically strange set. Our result suggests that the dynamics of SNA is a candidate for the dynamics of glacial cycles, in addition to the well-known dynamics of quasiperiodicity and chaos.
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