3 papers
math.DS2025
What is the graph of a dynamical system?
Chirag Adwani, Roberto De Leo, James A. Yorke
Some of the basic properties of any dynamical system can be summarized by a graph. The dynamical systems in our theory run from maps like the logistic map to ordinary differential…
math.DS2025
Streams, Graphs and Global Attractors of Dynamical Systems on Locally Compact Spaces
Roberto De Leo, James A. Yorke
In a recent article, we introduced the concept of streams and graphs of a semiflow. An important related concept is the one of semiflow with {\em compact dynamics}, which we define…
math.DS2025
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…