Figure 5
Topology of dynamical systems: an \((\varepsilon ,T)\)-chain from \({x}_{0}\) to \({x}_{4}\) with respect to flow \(\phi \) is exemplified here by the solid arrows and sequence of points \({x}_{0},{x}_{1},{x}_{2},{x}_{3},{x}_{4}\). If the recurrent behavior associated with point \({x}_{0}\) (indicated by the dashed arrow) holds for all \(\varepsilon > 0\) and \(T > 0\), then it is a chain recurrent point.
