Article Contents
Article Contents

# Leray functor and orbital Conley index for non-invariant sets

• An orbital Conley index for non-invariant compact sets of discrete-time dynamical systems is introduced. The construction of this new index uses an algebraic reduction process inspired from Leray. Applications to detection of periodic orbits and chaos are presented.
Mathematics Subject Classification: Primary: 58F35, 34C35, 54H20.

 Citation: