Multisymplectic geometry, variational integrators, and nonlinear PDEs JE Marsden, GW Patrick, S Shkoller Communications in Mathematical Physics 199, 351-395, 1998 | 728 | 1998 |
Relative equilibria in Hamiltonian systems: the dynamic interpretation of nonlinear stability on a reduced phase space GW Patrick Journal of Geometry and Physics 9 (2), 111-119, 1992 | 110 | 1992 |
Error analysis of variational integrators of unconstrained Lagrangian systems GW Patrick, C Cuell Numerische Mathematik 113, 243-264, 2009 | 58 | 2009 |
Relative equilibria of Hamiltonian systems with symmetry: linearization, smoothness, and drift GW Patrick Journal of Nonlinear Science 5, 373-418, 1995 | 58 | 1995 |
Integration algorithms and classical mechanics JE Marsden, GW Patrick, WF Shadwick American Mathematical Soc., 1996 | 56 | 1996 |
A symplectic integrator for Riemannian manifolds B Leimkuhler, GW Patrick Journal of Nonlinear Science 6, 367-384, 1996 | 54 | 1996 |
Stability of Poisson equilibria and Hamiltonian relative equilibria by energy methods GW Patrick, M Roberts, C Wulff Archive for rational mechanics and analysis 174 (3), 301-344, 2004 | 48 | 2004 |
The dynamics of two coupled rigid bodies in three space G Patrick Cont. Math. AMS 97, 315-336, 1989 | 41 | 1989 |
Two axially symmetric coupled rigid bodies: relative equilibria, stability, bifurcations, and a momentum preserving symplectic integrator GW Patrick University of California, Berkeley, 1991 | 37 | 1991 |
The transversal relative equilibria of a Hamiltonian system with symmetry GW Patrick, RM Roberts Nonlinearity 13 (6), 2089, 2000 | 17 | 2000 |
Variational development of the semi-symplectic geometry of nonholonomic mechanics GW Patrick Reports on Mathematical Physics 59 (2), 145-184, 2007 | 16 | 2007 |
Geometric discrete analogues of tangent bundles and constrained Lagrangian systems C Cuell, GW Patrick Journal of Geometry and Physics 59 (7), 976-997, 2009 | 14 | 2009 |
Dynamics of perturbed relative equilibria of point vortices on the sphere or plane GW Patrick Journal of Nonlinear Science 10, 401-415, 2000 | 14 | 2000 |
Dynamics near relative equilibria: Nongeneric momenta at a 1: 1 group-reduced resonance GW Patrick Mathematische Zeitschrift 232, 747-788, 1999 | 13 | 1999 |
Nonlinear stability of coupled rigid bodies G Patrick Department of Math-ematics, University of California, Berkeley, CA, Ph. D …, 1990 | 11 | 1990 |
Skew critical problems C Cuell, GW Patrick Regular and Chaotic Dynamics 12, 589-601, 2007 | 10 | 2007 |
Geometry, Mechanics, and Dynamics DE Chang, DD Holm, G Patrick, T Ratiu Springer New York, 2002 | 9 | 2002 |
Stability by KAM confinement of certain wild, nongeneric relative equilibria of underwater vehicles with coincident centers of mass and buoyancy GW Patrick SIAM Journal on Applied Dynamical Systems 2 (1), 36-52, 2003 | 8 | 2003 |
Lagrangian mechanics without ordinary differential equations GW Patrick arXiv preprint math-ph/0510085, 2005 | 7 | 2005 |
Stability transitions for axisymmetric relative equilibria of Euclidean symmetric Hamiltonian systems GW Patrick, M Roberts, C Wulff Nonlinearity 21 (2), 325, 2008 | 5 | 2008 |