An approach on fixed pansystems theorems: panchaos and strange panattractor (Q1106521)

Let G be a non-empty set, \(g\subset G^ 2\) be a binary relation on G, \(D\subset G\). If \(D^ 2\cap g=\emptyset\), then D is called a panchaos with respect to g; if for any \(x\in G-D\), \(x\circ g\cap D\neq \emptyset\), then D is called a panattractor with respect to g; if D is a panchaos and at the same time a panattractor with respect to g, then D is called a strange panattractor with respect to g. In the paper are presented results indicating that panchaos, panattractors and strange panattractors correspond respectively to fixed subsets of certain pansystems operators.