Multidimensional Dynamic System Analysis Method And Its Application

This thesis mainly includes the Multi-dimensional Dynamical System Analysis Theory (MDSAT) and its applications to system analyses of Chinese stock market.On the current, the core issues of complex systems analyses may be generalized 4 facets: the first is collective features researches of complex systems; the second is features researches about interactions among elements; the third is hierarchical features researches between macro- and micro-mechanism; the last is emergence behaviors researches from low to high levels.If the complex systems can be abstracted as a single conception, the most suitable is dimension. And it is obvious that macro-behaviors features of complex systems may be analogically as attributes or functions of dimensions, and derivative dimensions. Elements in complex systems are mapped as sub-dimensions. Furthermore, the emergence behaviors from elements to systems are transformed the hierarchical transformations between sub-dimensions and parent-dimensions. There are structures to dimensions, and they are evolutive. Moreover, the structures of dimensions inevitably result in information sifts, namely processing exotic information with some special laws.On the basis of above contents, the MDSAT can be educed through analyzing complex systems. The main contents of MDSAT includes: five fundamental issues (fading of dimensions; sift of information; forward-evolvibility and backward-evolvibility; dimensions distortion in systems; and balance between projecting and sucking of systems), dimensions, dimensional distortions, and dimensional transformations (including definitions, features, and categories, and so on) as analyses foundations of MDSAT, and information sift and systematical boundary analyses (including definitions, features, and categories of information sift and systematical boundary, and relationships between them and dimensions, dimensional distortions, and dimensional transformations, and systems and environments), that is necessary constituting and applying MDSAT, and the philosophical and logical foundations of...