@misc{10481/74507, year = {2022}, month = {3}, url = {http://hdl.handle.net/10481/74507}, abstract = {An integrable Hamiltonian system presents monodromy if the action-angle variables cannot be defined globally. As a prototype of classical monodromy with azimuthal symmetry, we consider a linear molecule interacting with external fields and explore the topology structure of its phase space. Based on the behavior of closed orbits around singular points or regions of the energy-momentum plane, a semitheoretical method is derived to detect classical monodromy. The validity of the monodromy test is numerically illustrated for several systems with azimuthal symmetry.}, organization = {Ministerio de Ciencia e Innovación (Spain) and Project PID2019-106732GB-I00 (MINECO)}, organization = {Spanish Project No. FIS2017-89349-P (MINECO)}, organization = {Consejería de Conocimiento, Investigación y Universidad, Junta de Andalucía and European Regional Development Fund (ERDF), Ref. SOMM17/6105/UGR}, title = {An introduction to classical monodromy: applications to molecules in external fields}, doi = {10.1063/5.0079354}, author = {Omiste, Juan J. and González Férez, María Rosario and Ortega Ríos, Rafael}, }