Limit sets and the Poincare-Bendixson Theorem in impulsive semidynamical systems

By Everaldo M. Bonotto, Márcia Federson. 2008

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We consider semidynamical systems with impulse effects at variable times and we discuss some properties of the limit sets of orbits of these systems such as invariancy, compactness and connectedness. As a consequence we obtain a version of the Poincare–Bendixson Theorem for impulsive semidynamical systems.

Subfields: Applied Mathematics, Control and Systems Engineering, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/fea7f6ed90149cd3835513a8a583ce532cfed14d