The study of nonlinear problems was developed in works[1,2] 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.
Wu Xue-mou, Pansystems methodology and nonlinear analysis:new study of bifurcation, catastrophe, chaos and stability, Proceedings of the 1985 International Conference on Nonlinear Mechanics.