Fernández-Rañada, Antonio2023-06-212023-06-211985-040022-248810.1063/1.526611https://hdl.handle.net/20.500.14352/64897© 1985 American Institute of Physics.We investigate the validity of the weak-Painlevé property as an integrability criterion. We present an example of a time-dependent Hamiltonian system which possesses a weak-Painlevé type expansion, while presenting a chaotic behavior. However, this system presents also critical fixed singularities. The importance of the latter, as far as integrability is concerned, is discussed here.engjournal articlehttp://dx.doi.org/10.1063/1.526611http://scitation.aip.orgopen access537ElectricidadElectrónica (Física)2202.03 Electricidad