REALIZATION OF SIMPLE SMALE FLOWS IN S^3 USING 3-BAND TEMPLATES

Abstract

This dissertation investigates non-singular Smale flows with saddle sets modeled by specific templates, focusing on their structural configurations. In particular, we examine the linking relationships between the attractor and repeller in simple Smale flows, especially when chaotic saddle sets are represented by various template models. By analyzing these template-based structures, we aim to provide new insights into the organization and behavior of Smale flows on the 3-sphere.