RT Journal Article T1 The weak-Painlevé property as a criterion for the integrability of dynamical-systems A1 Fernández-Rañada, Antonio AB 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. PB American Institute of Physics SN 0022-2488 YR 1985 FD 1985-04 LK https://hdl.handle.net/20.500.14352/64897 UL https://hdl.handle.net/20.500.14352/64897 LA eng NO © 1985 American Institute of Physics. DS Docta Complutense RD 7 may 2024