Ian Melbourne's Reprint List

Hamiltonian Systems

1. M. Dellnitz and I. Melbourne. Generic movement of eigenvalues for equivariant selfadjoint matrices. J. Comp. Appl. Math. 55 (1994) 249-259
   ( abstract )

2. I. Melbourne. Versal unfoldings of equivariant linear Hamiltonian vector fields. Math. Proc. Camb. Philos. Soc. 114 (1993) 559-573
   ( abstract, postscript file or pdf file )

3. I. Melbourne and M. Dellnitz. Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group. Math. Proc. Camb. Philos. Soc. 114 (1993) 235-268
   ( abstract, postscript file or pdf file )

4. M. Dellnitz and I. Melbourne. The equivariant Darboux theorem. Exploiting Symmetry in Applied and Numerical Analysis (E. Allgower et al eds.) 1992 AMS-SIAM Summer Seminar Proceedings. Lectures in Appl. Math. 29 (1993) 163-169
   ( abstract, postscript file or pdf file )

5. M. Dellnitz, I. Melbourne and J. Marsden. Generic bifurcation of Hamiltonian vector fields with symmetry. Nonlinearity 5 (1992) 979-996
   ( abstract, postscript file or pdf file )

6. M. Dellnitz, J. Marsden, I. Melbourne and J. Scheurle. Generic bifurcations of pendula. Bifurcation and Symmetry (E. Allgower et al eds.) ISNM 104, Birkhauser, Basel, 1992, 111-122