不动泛系定理与浑沌的泛系逻辑守恒性

利用泛系方法论研究非线性问题不必考虑微分流形与线性空间的相应条件,也没有连续性的要求1,2]。文献2]在泛系框架下,已把浑沌,引子,怪引子等的研究转化为相应的不动子集的研究,并给出了它们存在的一些条件。本文就是在这个基础上进一步研究它们的泛系逻辑守恒性,也就是它们的泛系形影之间的某些相对不变性。

Fixed Pansystems Theorems and Pansystems Logic Conservation of Chaos

The study of nonlinear problems was developed in works1,2] by means of the pansystems methodology (PM) which does not need the condition related to differential manifolds and linear space. In work 2], within the framework of PM, we proved that study of panchaos, panattractor and strange panattractor can be transformed conditionally into some forms of fixed subsets. As a continuation of work 2], we now research the pansystems logic conservation of panchaos, panattractor, strange panattractor and some other fixed subsets.