白垩纪碳酸盐岩稳定碳同位素的分形和混沌分析

Analysis of Fractal and Chaos for Stable Carbon Isotope of Carbonate in Cretaceous

应用分形与混沌理论对白垩纪海相碳酸盐岩碳同位素δ(13C)进行了非线性分析,认为碳同位素δ(13C)变化序列均为混沌演化序列,当相空间维数m>8时出现混沌吸引子,混沌吸引子的分维数D在3.74左右;它的演化为混沌动力过程,描述它的变化至少是具备4个独立变量的动力学系统。CO2的碳同位素组成系统是一个混沌系统,只要δ(13C)偏移发生很小的变化,就会引发或终止δ(13C)正偏移,这就是系统对初始条件的敏感依赖性及其内部蕴涵的非线性反馈机制成为维系过程长期进行的内在动力学原因。

The analysis of the stable carbon isotope δ（^13C） of marine carbonate in Cretaceous by fractal and chaos theory shows that it＇s spatial variation of chaos evolution sequences in phase space. When the phase space dimension rn is more than 8, there appears chaotic attractors which fractal dimension is about 3.74. The evolution of stable carbon isotope δ（^13C） is a chaotic dynamical process, which is described by a dynamical system of not less than four independence variables. When δ（^13C） excursion changes, a positive δ（^13C） starts or ends. The system of iso- topic carbon composition is a chaos system of sensitive to initialization, and the nonlinear feedback interior mechanism causes the interior dynamics in long process.