My Research Papers

All papers here are in pdf format (unless otherwise stated)

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• [2013] A sufficient condition for the existence of Hamiltonian bifurcations with continuous isotropy.
  
  (with Miguel Rodriguez-Olmos) [Abstract & Paper]
• [2013] Deformation of geometry and bifurcations of vortex rings
  
  (with Tadashi Tokieda) [Abstract & paper]
• [2012] Finite-dimensional behaviour and observability in a randomly forced PDE
  
  (with David Broomhead, Jeremy Huke, and Mark Muldoon) [Abstract & Paper (200kb)]
• [2012] Generalized Dirichlet to Neumann operator on invariant differential forms and equivariant cohomology.
  
  (with Qusay Al-Zamil) [Abstract & Paper (140k)]
• [2012] Witten-Hodge theory for manifolds with boundary and equivariant cohomology.
  
  (with Qusay Al-Zamil) [Abstract & Paper (130k)]
• [2011] Point Vortices on the Sphere: Stability of Symmetric Relative Equilibria
  (with Frédéric Laurent-Polz and Mark Roberts) [Abstract & Paper (4Mb)] (new version)
• [2011] Dynamics of poles with position-dependent strengths and its optical analogues
  
  (with Tadashi Tokieda) [Abstract & Paper (120k)]
• [2011] On the stability of Hamiltonian relative equilibria with non-trivial isotropy.
  
  (with Miguel Rodriguez-Olmos) [Abstract & Paper (108k)]
• [2009] Symplectic group actions and covering spaces
  
  (with Juan-Pablo Ortega) [Abstract & Paper (172k)]
• [2007] A note on the geometry of linear Hamiltonian systems of signature 0 in R⁴
  
  [Abstract & Paper (60k)]
• [2005] Stability of relative equilibria of point vortices on the sphere
  (with Frédéric Laurent-Polz and Mark Roberts) [Abstract, Paper (430k)] (new version above, [2011])
• [2004] Bifurcation and forced symmetry breaking in Hamiltonian systems
  (with Féthi Grabsi and Juan-Pablo Ortega) [Abstract, Paper (155k)]
• [2004] The relation between local and global dual pairs
  (with Juan-Pablo Ortega and Tudor Ratiu) [Abstract & Paper (185k)]
• [2004] Golden gaskets: variations on the Sierpinski sieve
  (with Dave Broomhead and Nikita Sidorov) [Abstract, Paper (2.8Mb)]
• [2004] Relative periodic orbits of symmetric Lagrangian systems
  (with Chris McCord, Mark Roberts and Luca Sbano) [Abstract, Paper (188k)]
• [2003] Vortex dynamics on cylinders
  (with Anik Soulière and Tadashi Tokieda) [Abstract, Paper (300k)]
• [2003] Openness of momentum maps and persistence of extremal relative equilibria
  (with Tadashi Tokieda) [Abstract, Paper (250K)]
• [2002] Group theoretic conditions for existence of robust relative homoclinic trajectories
  (with Pete Ashwin) [Abstract, Paper (250K)]
• [2001] Relative equilibria of point vortices on the sphere
  (with Chjan Lim and Mark Roberts) [Abstract, Paper (427K)]
• [2000] A note on semisymplectic actions of Lie groups
  (with Mark Roberts) [Abstract, Paper (84k)]]
• [2000] Real continuation from the complex quadratic family: Fixed point bifurcation sets
  (with Bruce Peckham) [Abstract, Paper (ps.gz, 500K)]
• [1999] Perturbing a symmetric resonance: the magnetic spherical pendulum
  [Abstract, Paper (146K)]
• [1999] Relative equilibria of molecules
  (with Mark Roberts) [Abstract, Paper (266K)]
• [1999] Multiplicities of zero-schemes in quasi-homogeneous corank-1 singularities
  (with W.L. Marar and M.A.S. Ruas) [Abstract, Paper (174K)]
• [1997] Persistance d'orbites périodiques relatives dans les systèmes hamiltoniens symétriques
  [Abstract, Paper (131K)]
• [1997] Persistence and stability of relative equilibria
  [Abstract, Paper (150K)]
• [1995] Bifurcation générique d'ondes rotatives d'isotropie maximale
  (with Pascal Chossat and Muriel Koenig) [Abstract, Paper (145K)]
• [1994] The path formulation of bifurcation theory
  [Abstract, Paper (217K)]
• [1994] Deformations of maps on complete intersections, Damon's K_V-equivalence and bifurcations
  (with david Mond) [Abstract, Paper (222K)]
• [1994] Multiplicities of critical points of invariant functions
  [Abstract, Paper (225K)]
• [1993] Quotient spaces and critical points of invariant functions for C*-actions
  (with Duco van Straten) [Abstract, Paper (321K)]
• [1991] On generic composites of mappings.
  [Abstract, Paper (DOI)]
• [1991] Caustics in time reversible Hamiltonian systems
  [Abstract, Paper (92K, no figures)]
• [1990] One-forms on singular curves and the topology of real curve singularities
  (with Duco van Straten) [Abstract, Paper (via DOI)]
• [1990] Stability of nonlinear normal modes in symmetric Hamiltonian systems
  (with Mark Roberts and Ian Stewart) [Abstract, Paper (from journal)]
• [1990] Existence of nonlinear normal modes in symmetric Hamiltonian systems
  (with Mark Roberts and Ian Stewart) [Abstract, Paper (from journal)]
• [1988] Periodic solutions near equilibria of symmetric Hamiltonian systems
  (with Mark Roberts and Ian Stewart) [Abstract, Paper (from journal)]
• [1987] Non-linear normal modes of symmetric Hamiltonian systems
  (with Mark Roberts and Ian Stewart) [Abstract]
• [1986] Surfaces in 3-space and their contact with circles.
  [Abstract, Paper (via Project Euclid)]
• [1986] On contact between submanifolds.
  [Abstract, Paper (via DOI)]

James Montaldi
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