| Linear
almost Poisson structures and Hamilton-Jacobi equation. Applications
to nonholonomic mechanics | 2010/01/01 | English | 63 |
| Sobolev metrics on shape space of surfaces | 2011/01/01 | English | 49 |
| Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle | 2014/01/01 | English | 31 |
| Geodesic Vlasov equations and their integrable moment closures | 2009/01/01 | English | 27 |
| Nonholonomic Hamilton-Jacobi equation and integrability | 2009/01/01 | English | 25 |
| On Euler's equation and 'EPDiff' | 2013/01/01 | English | 25 |
| On the $k$-symplectic, $k$-cosymplectic and
multisymplectic formalisms of classical field theories | 2011/01/01 | English | 24 |
| Semi-basic 1-forms and Helmholtz conditions for the inverse
problem of the calculus of variations | 2009/01/01 | English | 22 |
| Clebsch optimal control formulation in mechanics | 2011/01/01 | English | 21 |
| Integrable Euler top and nonholonomic Chaplygin ball | 2011/01/01 | English | 21 |
| Variational formulation of commuting Hamiltonian flows: Multi-time Lagrangian 1-forms | 2013/01/01 | English | 21 |
| A Hamilton-Jacobi theory on Poisson manifolds | 2014/01/01 | English | 20 |
| Higher-order variational problems on lie groups and optimal control applications | 2014/01/01 | English | 20 |
| $G$-Chaplygin systems
with internal symmetries, truncation, and an (almost) symplectic
view of Chaplygin's ball | 2009/01/01 | English | 19 |
| The supergeometry of Loday algebroids | 2013/01/01 | English | 18 |
| Dirac cotangent bundle reduction | 2009/01/01 | English | 17 |
| The geometry and dynamics of interacting rigid bodies and point
vortices | 2009/01/01 | English | 17 |
| Sub-Riemannian and sub-Lorentzian geometry on $SU(1,1)$ and on its universal cover | 2011/01/01 | English | 16 |
| Three-dimensional discrete systems of Hirota-Kimura type and deformed Lie-Poisson algebras | 2009/01/01 | English | 16 |
| Sobolev metrics on shape space, II: Weighted Sobolev metrics and almost local metrics | 2012/01/01 | English | 16 |
| Families of canonical transformations by Hamilton-Jacobi-Poincaré equation. Application to rotational and orbital motion | 2010/01/01 | English | 15 |
| A property of conformally Hamiltonian vector fields; Application to the Kepler problem | 2012/01/01 | English | 15 |
| Self-organization on Riemannian manifolds | 2019/01/01 | English | 15 |
| Geometric arbitrage theory and market dynamics | 2015/01/01 | English | 15 |
| The Hamilton-Jacobi theory and the analogy between classical and
quantum mechanics | 2009/01/01 | English | 14 |
| Point vortices on the sphere: Stability of symmetric relative equilibria | 2011/01/01 | English | 14 |
| Global well-posedness of a 3D MHD model in porous media | 2019/01/01 | English | 14 |
| When is a control system mechanical? | 2010/01/01 | English | 14 |
| Geometry of matrix decompositions seen through optimal transport and information geometry | 2017/01/01 | English | 13 |
| Tulczyjew triples in higher derivative field theory | 2015/01/01 | English | 13 |