Some pansystems studies on panchaos and strange panattractor

Paper 1] discussed the relations among panchaos and strange panattractor and pansystems operators. Paper 2] gave the applications of the fixed-point pansystems theorems to these typical nonlinear problems. In this paper, we firstly present several concepts: increasing relation, maximal panchaos, etc., and discuss the relations among them. We also discuss the problems when two increasing relations have the same panchaos and when panchaos of g is panchaos of g^t as well.