4 papers
Wandering Flows on the Plane
Joseph Auslander, Roberto De Leo
We study planar flows without non-wandering points and prove several properties of these flows in relation with their prolongational relation. The main results of this article are…
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…
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…
Infinite towers in the graph of a dynamical system
Roberto De Leo, James A. Yorke
Chaotic attractors, chaotic saddles and periodic orbits are examples of chain-recurrent sets. Using arbitrary small controls, a trajectory starting from any point in a chain-recurr…