A condition which ensures absence of periodic orbits for nonsmoothdynamical systems is presented. The condition is a higherdimensional generalization of Bendixson's criterion applicable todifferential inclusions. The main argument is based on contractionanalysis of the d-measured volume along the system trajectories.A connection to the methods for estimates of the Hausdorffdimension is emphasized.
|Title of host publication||Proceedings of the 16th international symposium on mathematical theory of networks and systems (MTNS 2004), Leuven, Belgium, July 2004|
|Place of Publication||s.l.|
|Publication status||Published - 2004|