4 papers · 1 filter
The Chain Graph of a general Iterated Function System
Roberto De Leo
Classical fractal geometry describes the metric and topological structure of attractors generated by contractive Iterated Function Systems (IFSs). Much less is known about their gl…
Recurrent and gradient dynamics of Iterated Function Systems
Roberto De Leo
We study the qualitative dynamics of general Iterated Function Systems (IFSs) through chain recurrence and a decomposition into recurrent and gradient-like behavior. At the same ti…
Shadow chains and Conley chains for continuous-time semiflows
Roberto De Leo, James A. Yorke
In a recent series of articles we introduced the concept of "stream of a semiflow. A stream is a closed and transitive binary relation which extends the relation "being on the orbi…
Streams and Graphs of Dynamical Systems
Roberto De Leo, James A. Yorke
While studying gradient dynamical systems (DSs), Morse introduced the idea of encoding the qualitative behavior of a DS into a graph. Smale later refined Morse's idea and extended…