My Research Papers

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

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• [2022] A Hamiltonian approach for point vortices on non-orientable surfaces I: the Möbius band.
  
  (with Nataliya Balabanova) [ArXiv]
• [2021] Two body problem on a sphere in the presence of a uniform magnetic field.
  
  (with Nataliya Balabanova) [mims eprint, ArXiv, DOI]
• [2020] Attracting and repelling 2-body problems on a family of surfaces of constant curvature.
  
  (with Luis García-Naranjo) [mims eprint, ArXiv, DOI]
• [2019] Generalized point vortex dynamics on CP².
  
  (with Amna Shaddad) [mims eprint, ArXiv, DOI]
• [2019] Non-Abelian momentum polytopes for products of CP².
  
  (with Amna Shaddad) [mims eprint, ArXiv, DOI]
• [2019] Integrability and dynamics of the n-dimensional symmetric Veselova top.
  
  (with F. Fassò & L. García-Naranjo) [mims eprint, ArXiv, DOI]
• [2019] Persistence of stationary motion under explicit symmetry breaking perturbation.
  
  (with Marine Fontaine) [mims eprint, ArXiv, DOI]
• [2018] Hermitian flag manifolds and orbits of the Euclidean group.
  
  (with Philip Arathoon) [mims eprint, ArXiv]
• [2018] Reduction and relative equilibria for the 2 body problem on spaces of constant curvature.
  
  (with A.V. Borisov, L. García-Naranjo & I.S. Mamaev) [mims eprint, arXiv DOI ]
• [2017] Feynman path integrals and Lebesgue-Feynman measures.
  
  (with Oleg G. Smolyanov) [mims eprint, arXiv, DOI ]
• [2017] Gauge momenta as Casimir functions of nonholonomic systems.
  
  (with Luis García-Naranjo) [mims eprint, arXiv, DOI ]
• [2016] Periodic orbits in Hamiltonian systems with involutory symmetries.
  
  (with Reem Alomair) [mims eprint, DOI]
• [2015] Transformations of Feynman path integrals and the generalized densities of Feynman pseudomeasures.
  
  (with Luis García-Naranjo and Oleg G. Smolyanov) [mims eprint, DOI]
• [2015] Hamiltonian relative equilibria with continuous isotropy
  (with Miguel Rodriguez-Olmos) [ArXiv]
• [2015] Existence of symmetric central configurations.
  
  [ArXiv, DOI]
• [2014] Transformations of measures via their generalized densities.
  
  (with Oleg G. Smolyanov) [mims eprint, DOI]
• [2014] Point vortices on the hyperbolic plane.
  
  (with Citlalitl Nava-Gaxiola) [mims eprint, DOI]
• [2014] Bifurcations of relative equilibria near zero momentum in Hamiltonian systems with spherical symmetry.
  
  [On arXiv, DOI]
• [2013] Classification of symmetry groups for planar n-body choreographies.
  
  (with Katie Steckles) [mims eprint, DOI]
• [2013] A sufficient condition for the existence of Hamiltonian bifurcations with continuous isotropy.
  
  (with Miguel Rodriguez-Olmos) [mims eprint, DOI]
• [2013] Deformation of geometry and bifurcations of vortex rings
  
  (with Tadashi Tokieda) [mims eprint, DOI]
• [2012] Finite-dimensional behaviour and observability in a randomly forced PDE
  
  (with Dave Broomhead, Jerry Huke, and Mark Muldoon) [mims eprint, DOI]
• [2012] Generalized Dirichlet to Neumann operator on invariant differential forms and equivariant cohomology.
  
  (with Qusay Al-Zamil) [mims eprint, DOI]
• [2012] Witten-Hodge theory for manifolds with boundary and equivariant cohomology.
  
  (with Qusay Al-Zamil) [mims eprint, DOI]
• [2011] Point Vortices on the Sphere: Stability of Symmetric Relative Equilibria
  (with Frédéric Laurent-Polz and Mark Roberts) [mims eprint, DOI] (new version)
• [2011] Dynamics of poles with position-dependent strengths and its optical analogues.
  
  (with Tadashi Tokieda) [mims eprint, DOI]
• [2011] On the stability of Hamiltonian relative equilibria with non-trivial isotropy.
  
  (with Miguel Rodriguez-Olmos) [mims eprint, DOI]
• [2009] Symplectic group actions and covering spaces
  
  (with Juan-Pablo Ortega) [mims eprint, DOI]
• [2007] A note on the geometry of linear Hamiltonian systems of signature 0 in R⁴
  
  [mims eprint, DOI]
• [2005] Stability of relative equilibria of point vortices on the sphere
  (with Frédéric Laurent-Polz and Mark Roberts) (new version above, [2011])
• [2004] Bifurcation and forced symmetry breaking in Hamiltonian systems.
  (with Féthi Grabsi and Juan-Pablo Ortega) [mims eprint, DOI]
• [2004] The relation between local and global dual pairs.
  (with Juan-Pablo Ortega and Tudor Ratiu) [mims eprint]
• [2004] Golden gaskets: variations on the Sierpinski sieve.
  (with Dave Broomhead and Nikita Sidorov) [mims eprint, DOI]
• [2004] Relative periodic orbits of symmetric Lagrangian systems.
  (with Chris McCord, Mark Roberts and Luca Sbano) [Abstract, Paper]
• [2003] Vortex dynamics on cylinders.
  (with Anik Soulière and Tadashi Tokieda) [Paper, DOI]
• [2003] Openness of momentum maps and persistence of extremal relative equilibria.
  (with Tadashi Tokieda) [eprint, DOI]
• [2002] Group theoretic conditions for existence of robust relative homoclinic trajectories.
  (with Pete Ashwin) [eprint, DOI]
• [2001] Relative equilibria of point vortices on the sphere.
  (with Chjan Lim and Mark Roberts) [eprint, DOI]
• [2000] A note on semisymplectic actions of Lie groups.
  (with Mark Roberts) [Abstract, preprint, DOI]
• [2000] Real continuation from the complex quadratic family: Fixed point bifurcation sets.
  (with Bruce Peckham) [Abstract, preprint (gzipped), DOI]
• [1999] Perturbing a symmetric resonance: the magnetic spherical pendulum.
  [Abstract, Paper]
• [1999] Relative equilibria of molecules.
  (with Mark Roberts) [eprint, DOI]
• [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.
  [preprint, DOI]
• [1997] Persistence and stability of relative equilibria.
  [eprint, DOI]
• [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) [Paper (222K)]
• [1994] Multiplicities of critical points of invariant functions
  [mims eprint, published version]
• [1993] Quotient spaces and critical points of invariant functions for C*-actions
  (with Duco van Straten) [mims eprint, published version]
• [1991] On generic composites of mappings.
  [DOI]
• [1991] Caustics in time reversible Hamiltonian systems.
  [Abstract, Paper (no figures)]
• [1990] One-forms on singular curves and the topology of real curve singularities
  (with Duco van Straten) [DOI]
• [1990] Stability of nonlinear normal modes in symmetric Hamiltonian systems
  (with Mark Roberts and Ian Stewart) [Abstract, DOI]
• [1990] Existence of nonlinear normal modes in symmetric Hamiltonian systems
  (with Mark Roberts and Ian Stewart) [Abstract, DOI]
• [1988] Periodic solutions near equilibria of symmetric Hamiltonian systems
  (with Mark Roberts and Ian Stewart) [Abstract, DOI]
• [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, DOI]

James Montaldi
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