SOME PANSYSTEMS STUDIES ON PANCHAOS AND STRANGE PANATTRACTOR

Paper [1] discussed the relations among panchaos and strange panattractor andpansystems operators. Paper [2] gave the applications of the fixed-point pansystemstheorems to these typical nonlinear problems. In this paper, we firstly present severalconcepts: increasing relation, maximal panchaos, etc., and discuss the relations amongthem. We also discuss the problems when two increasing relations have the same panchaosand when panchaos of gis panchaos of g＇ as well.     

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.     

浑沌与怪引子的某些泛系研究

文[1]讨论了泛浑沌及泛怪引子与泛系算子ε₇(g)之间的联系。文[2]讨论了不动泛系定理在这些典型的非线性问题研究中的应用。本文首先给出了增关系、极大泛浑沌等几个概念,讨论了它们之间的关系;本文还讨论了g的泛浑沌与它的传递包的泛浑沌的关系以及在一定条件下两个增关系的泛浑沌相同的条件。     

A Property of N-ary Relation Ring

In paper [1], Professor Xie Bangjie discussed the ring with left zero factor ideals having the condition of rising chain. Qiu Qichang also has work on the aspect [2]. By using T-ary relation Professor Wu Xuemou investigated body-shadow relation, whole-parts relation, etc, [3]. In this paper, the conception of n-ary relation ring is introduced, and a necessary and sufficient condition of a ring R being a right Noether ring is given.