Motivated by the study of the topological properties of the flow on the boundary of the basin of attraction of asymptotically stable equilibria and limit cycles, we provide a set of sufficient conditions which allow to interpret the flow on a possibly exotic set, as the push-forward, through a suitable map (for instance an immersion), of a corresponding flow defined on a compact manifold without boundary.
How to represent flows on immersions / D. Angeli; R. Johnson. - STAMPA. - (2006), pp. 4845-4850. ( 45th IEEE Congress on Decision and Control San Diego USA dicembre 2006) [10.1109/cdc.2006.377029].
How to represent flows on immersions
ANGELI, DAVID;JOHNSON, RUSSELL ALLAN
2006
Abstract
Motivated by the study of the topological properties of the flow on the boundary of the basin of attraction of asymptotically stable equilibria and limit cycles, we provide a set of sufficient conditions which allow to interpret the flow on a possibly exotic set, as the push-forward, through a suitable map (for instance an immersion), of a corresponding flow defined on a compact manifold without boundary.
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