Reeb traps and Hamiltonian plugs

Examples of non vanishing vector fields on closed manifolds without periodic orbits are mainly constructed by using Wilson plugs. I will introduce the definition of a plug and explain how it can be used to find examples of such vector fields. For Reeb flows plugs can not exist but I will present examples of semi contact plugs in dimension five and higher, compare their dynamics with the 3-dimensional situation and discuss relations to the Weinstein conjecture. Finally I will apply the semi contact plug construction to build Hamiltonian plugs.