46 citations · 258 across the 32 of their papers we have counts for
18 papers · 1 filter
Piecewise linear circle maps and conjugation to rigid rational rotations
Paul Glendinning, Siyuan Ma, James Montaldi
Criteria for piecewise linear circle homeomorphisms to be conjugate to a rigid rotation, , with rational rotation number are given. The consequences of…
A Hamiltonian approach for point vortices on non-orientable surfaces
Nataliya A. Balabanova, James Montaldi
We investigate the motion of point vortices on the Mobius band and Klein bottle. Since these are non-orientable surfaces, the standard Hamiltonian approach does not apply. We there…
Integrability and dynamics of the n-dimensional symmetric Veselova top
Francesco Fassò, Luis C. García-Naranjo, James Montaldi
We consider the the n-dimensional generalisation of the nonholonomic Veselova problem. We derive the reduced equations of motion in terms of the mass tensor of the body and determi…
Persistence of stationary motion under explicit symmetry breaking perturbation
Marine Fontaine, James Montaldi
Explicit symmetry breaking occurs when a dynamical system having a certain symmetry group is perturbed in a way that the perturbation preserves only some symmetries of the original…
Gauge momenta as Casimir functions of nonholonomic systems
Luis C. Garcia-Naranjo, James Montaldi
We consider nonholonomic systems with symmetry possessing a certain type of first integrals that are linear in the velocities. We develop a systematic method for modifying the stan…
Hamiltonian Relative Equilibria with Continuous Isotropy
James Montaldi, Miguel Rodriguez-Olmos
In symmetric Hamiltonian systems, relative equilibria usually arise in continuous families. The geometry of these families in the setting of free actions of the symmetry group is w…