87 citations · 877 across the 97 of their papers we have counts for
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Poisson Reduction of Controlled Hamiltonian System by Controllability Distribution
Tudor S. Ratiu, Hong Wang
In this paper, we first study the Poisson reductions of controlled Hamiltonian (CH) system and symmetric CH system by controllability distributions. These reductions are the extens…
Multisymplectic variational integrators and space/time symplecticity
François Demoures, François Gay-Balmaz, Tudor S. Ratiu
Multisymplectic variational integrators are structure preserving numerical schemes especially designed for PDEs derived from covariant spacetime Hamilton principles. The goal of th…
Integrable G-Strands on semisimple Lie groups
François Gay-Balmaz, Darryl D. Holm, Tudor S. Ratiu
The present paper derives systems of partial differential equations that admit a quadratic zero curvature representation for an arbitrary real semisimple Lie algebra. It also deter…
The affine invariant of generalized semitoric systems
Álvaro Pelayo, Tudor S. Ratiu, San Vũ Ngoc
A generalized semitoric system F:=(J,H): M --> R^2 on a symplectic 4-manifold is an integrable system whose essential properties are that F is a proper map, its set of regular valu…