Erratum to: “Group analysis of non-autonomous linear Hamiltonians through differential Galois theory”. (English) Zbl 1252.37047
Summary: In our original submission [ibid. 31, No. 2, 157–173 (2010; Zbl 1287.37037)] a case consideration in Theorem 5.1 is missing that lead us to another normal form for a Hamiltonian of \(2 + \frac {1}{2}\) degrees of freedom that was not included in the table of Theorem 6.1. Here we present the corrected version of Theorem 5.1 and the complete table.
MSC:
| 37J30 | Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) |
| 12H05 | Differential algebra |
| 37J35 | Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests |
| 70H05 | Hamilton’s equations |
| 70H06 | Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics |
