RT Journal Article T1 An introduction to classical monodromy: Applications to molecules in external fields A1 Omiste Romero, Juan José A1 González Férez, Rosario A1 Ortega Ríos, Rafael AB 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 semi-theoretical method is derived to detect classical monodromy. The validity of the monodromy test is numerically illustrated for several systems with azimuthal symmetry. PB American Institute of Physics YR 2022 FD 2022-03-22 LK https://hdl.handle.net/20.500.14352/125665 UL https://hdl.handle.net/20.500.14352/125665 LA eng NO J. J. Omiste, R. González-Férez and R. Ortega, An introduction to classical monodromy: Applications to molecules in external fields, J. Math. Phys. 63, 032702 (2022) NO Ministerio de Ciencia, Innovación y Universidades NO European Regional Development Fund NO Junta de Andalucía DS Docta Complutense RD 19 mar 2026