Hamiltonian Systems & Symplectic Geometry: Abstracts


See also

Papers are all in pdf format (unless otherwise mentioned)


The relation between local and global dual pairs

(with Juan-Pablo Ortega and Tudor Ratiu). Math Research Letters 11 (2004), 355-363.

Relative periodic orbits in symmetric Lagrangian systems

(with Chris McCord, Mark Roberts and Luca Sbano). Proceedings of Equadiff, 2003.

Vortex dynamics on cylinders

(with Anik Soulière and Tadashi Tokieda) SIAM J. on Applied Dynamical Systems 2 (2003), 417-430.

Openness of momentum maps and persistence of extremal relative equilibria

(with Tadashi Tokieda) Topology 42 (2003), 833-844.

Relative equilibria of point vortices on the sphere.

(with Chjan Lim and Mark Roberts) Physica D 148 (2001), 97-135.

A note on semisymplectic actions of Lie groups

(with Mark Roberts) Comptes Rendues de l'Acad. des Sciences 330 (2000), 1079-1084.

Perturbing a symmetric resonance: the magnetic spherical pendulum.

SPT98 -- Symmetry and Perturbation Theory II. A. Degasperis and G. Gaeta eds., World Scientific (1999).

Relative equilibria of molecules.

(with Mark Roberts). J. Nonlinear Science 9 (1999), 53-88.

Persistance d'orbites périodiques relatives dans les systèmes hamiltoniens symétriques.

Comptes Rendues de l'Acad. des Sciences 324 (1997), 553-558.

Persistence and stability of relative equilibria.

Nonlinearity 10 (1997), 449-466.

Caustics in time reversible Hamiltonian systems.

In Singularity Theory and its Applications, Warwick 1989, Part 2
(ed. M. Roberts & I. Stewart), Lecture Notes in Maths 1463, Springer, 1991.

Get paper (92K, no figures)


Existence of nonlinear normal modes in symmetric Hamiltonian systems

Stability of nonlinear normal modes in symmetric Hamiltonian systems

(with Mark Roberts and Ian Stewart), Nonlinearity 3 (1990), 695-730 and 731-772.

Get papers: Existence or Stability (both from Journal)


Periodic Solutions near Equilibria of Symmetric Hamiltonian Systems

(with Mark Roberts and Ian Stewart), Proc. Roy. Soc. London, 325 (1988), 237-293.

Non-linear normal modes of symmetric Hamiltonian systems

(with Mark Roberts and Ian Stewart). In The physics of structure formation (ed. G. Dangelmayr and W.Güttinger), Springer, 1987.
James Montaldi
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