| Abstract: |
| Dynamical systems represented as graphs with special emphasis on the logistic map and on partial differential equations. We have recently described the graph of the logistic map. For some parameter values, the graph has infinitely many nodes that are chaotic saddles. Now we approach graphs more generally. Our approach is based on feedback controls for ordinary and partial differential equations. We develop the general theory. In particular, under mild conditions, we show the graphs are connected. |
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