title: Some examples related to the method of Lagrangian descriptors.
abstract: We provide families of counter-examples, including Hamiltonian systems, to the method of Lagrangian descriptors developed by Mancho, Wiggins, and their co-workers. A detailed mathematical discussion on why that methodology fails together with some pathological phenomena are given as well.
authors.affiliation: Departamento de Matemática Aplicada II, Universidad de Vigo, Vigo, Spain.
authors.forename: Alfonso
authors.initials: A
authors.lastname: Ruiz-Herrera