Investigation of paleomagnetic and paleoclimatic data of late Pleistocene with modern methods of nonlinear time series analysis and improving of some of these methods

该项目的目的是应用和发展现代非线性数据分析技术，以研究过去100.000年来地球磁场和气候变化之间的复杂动力学关系。我们主要打算基于同步分析和最大相关性的新方法来研究这些多变量数据的相位稳定性和非线性相关性。特别感兴趣的问题是测试气候信号和相对古强度之间可能存在的相位延迟，研究长期变化的影响，特别是在米兰科维奇以下范围内的影响，以及详细分析相对古强度的漂移。沉积物数据的非线性分析将主要基于Negendank教授小组和Bleil教授小组进行的沉积物调查。我们还将建立一个数据分析技术工具箱，包括现代和标准方法；它将用于这一特别研究方案的其他项目。

The aim of this project is to apply and develop modern techniques of nonlinear data analysis to study complex dynamical relationships between the variations of the Earth's magnetic field and of the climate during the last 100.000 years. We mainly intend to study phase stability and nonlinear correlations of these multivariate data based on new approaches of synchronization analysis and maximal correlations. Problems of special interests are to test for a possible phase delay between climate signals and the relative palaeointensity, to study the influence of long-term variations, especially in the sub-Milankovitch range, and to analyse excursions of relative palaeointensity in detail. The nonlinear analysis of sediment data will be mainly based on the sediment investigations performed in the group of Prof. Negendank and in the group of Prof. Bleil. We will also build up a toolbox of data analysis techniques including modern as well as standard methods; it will be available for other projects in this special research programme.