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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.DS2024
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.DS2024★ 1 cited
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…