Multisymplectic geometry, variational integrators, and nonlinear PDEs
Fuente:
arXiv
Saved in:
| Main Authors: | Marsden, Jerrold E., Patrick, George W., Shkoller, Steve |
|---|---|
| Format: | Preprint |
| Published: |
1998
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Some stability properties of Hamiltonian Poisson integrators
by: Cosserat, Oscar
Published: (2025)
by: Cosserat, Oscar
Published: (2025)
Symmetry reduction of discrete Lagrangian mechanics on Lie groups
by: Marsden, Jerrold E., et al.
Published: (2000)
by: Marsden, Jerrold E., et al.
Published: (2000)
Contact structures and Beltrami fields on the torus and the sphere
by: Peralta-Salas, Daniel, et al.
Published: (2020)
by: Peralta-Salas, Daniel, et al.
Published: (2020)
Metriplectic dynamical systems on contact manifolds
by: Morrison, Philip J., et al.
Published: (2026)
by: Morrison, Philip J., et al.
Published: (2026)
A Presymplectic and Symmetry Reduced Formulation of the Maxwell Vlasov System
by: Colombo, Leonardo
Published: (2025)
by: Colombo, Leonardo
Published: (2025)
Compatible $E$-Differential Forms on Lie Algebroids over (Pre-)Multisymplectic Manifolds
by: Ikeda, Noriaki
Published: (2023)
by: Ikeda, Noriaki
Published: (2023)
Open problems in billiards and quantitative symplectic geometry
by: Albach, Bernhard, et al.
Published: (2026)
by: Albach, Bernhard, et al.
Published: (2026)
Variational integrators for stochastic Hamiltonian systems on Lie groups: properties and convergence
by: Gay-Balmaz, François, et al.
Published: (2024)
by: Gay-Balmaz, François, et al.
Published: (2024)
Regularity and persistence in non-Weinstein Liouville geometry via hyperbolic dynamics
by: Hozoori, Surena
Published: (2024)
by: Hozoori, Surena
Published: (2024)
Discrete Euler-Poincaré and Lie-Poisson Equations
by: Marsden, Jerrold E., et al.
Published: (1999)
by: Marsden, Jerrold E., et al.
Published: (1999)
Pseudo-Holomorphic Hamiltonian Systems and Kähler Duality of Complex Coadjoint Orbits
by: Wagner, Luiz Frederic
Published: (2025)
by: Wagner, Luiz Frederic
Published: (2025)
Thermodynamics a la Souriau on Kähler Non Compact Symmetric Spaces for Cartan Neural Networks
by: Fré, Pietro G., et al.
Published: (2025)
by: Fré, Pietro G., et al.
Published: (2025)
Turing complete Navier-Stokes steady states via cosymplectic geometry
by: Dyhr, Søren, et al.
Published: (2025)
by: Dyhr, Søren, et al.
Published: (2025)
On Mañé's Critical Value for Tonelli Lagrangians on Half Lie-Groups
by: Maier, Levin, et al.
Published: (2025)
by: Maier, Levin, et al.
Published: (2025)
On Mañé's critical value for the two-component Hunter-Saxton system and a infnite dimensional magnetic Hopf-Rinow theorem
by: Maier, Levin
Published: (2025)
by: Maier, Levin
Published: (2025)
Geometric Integrators for Nonholonomic Systems on Lie Groups
by: Vivek, Viyom, et al.
Published: (2026)
by: Vivek, Viyom, et al.
Published: (2026)
The symplectic geometry of the three-body problem
by: Moreno, Agustin
Published: (2021)
by: Moreno, Agustin
Published: (2021)
Lecture notes on the symplectic geometry of graded manifolds and higher Lie groupoids
by: Cueca, Miquel, et al.
Published: (2025)
by: Cueca, Miquel, et al.
Published: (2025)
The Arnold conjecture for singular symplectic manifolds
by: Brugués, Joaquim, et al.
Published: (2022)
by: Brugués, Joaquim, et al.
Published: (2022)
On the existence of critical compatible metrics on contact $3$-manifolds
by: Mitsumatsu, Yoshihiko, et al.
Published: (2023)
by: Mitsumatsu, Yoshihiko, et al.
Published: (2023)
The Hopf--Rinow Theorem and Mañé's Critical Value for Magnetic Geodesics on Half Lie-Groups
by: Maier, Levin, et al.
Published: (2025)
by: Maier, Levin, et al.
Published: (2025)
Anosov contact metrics, Dirichlet optimization and entropy
by: Hozoori, Surena
Published: (2023)
by: Hozoori, Surena
Published: (2023)
Multiple closed geodesics on Finsler $3$-dimensional sphere
by: Duan, Huagui, et al.
Published: (2023)
by: Duan, Huagui, et al.
Published: (2023)
On the intersections of projected Hamiltonian orbits in cotangent bundles
by: Dahinden, Lucas, et al.
Published: (2026)
by: Dahinden, Lucas, et al.
Published: (2026)
A counterexample to the singular Weinstein conjecture
by: Fontana-McNally, Josep, et al.
Published: (2023)
by: Fontana-McNally, Josep, et al.
Published: (2023)
Positive ($S^1$-equivariant) symplectic homology of convex domains, higher capacities, and Clarke's duality
by: Matijević, Stefan
Published: (2024)
by: Matijević, Stefan
Published: (2024)
The special concave toric domain for the rotating Kepler problem
by: Mohebbi, Amin
Published: (2021)
by: Mohebbi, Amin
Published: (2021)
Systolic inequalities for S1-invariant contact forms in dimension three
by: Vialaret, Simon
Published: (2024)
by: Vialaret, Simon
Published: (2024)
On the minimal number of closed geodesics on positively curved Finsler spheres
by: Duan, Huagui, et al.
Published: (2024)
by: Duan, Huagui, et al.
Published: (2024)
Sharp systolic inequalities for invariant tight contact forms on principal S1-bundles over S2
by: Vialaret, Simon
Published: (2024)
by: Vialaret, Simon
Published: (2024)
Systolic $S^1$-index and characterization of non-smooth Zoll convex bodies
by: Matijević, Stefan
Published: (2025)
by: Matijević, Stefan
Published: (2025)
Strong closing lemmas in Hamiltonian dynamics
by: Irie, Kei
Published: (2025)
by: Irie, Kei
Published: (2025)
Electromagnetic curvature via Jacobi-Maupertuis and beyond
by: Assenza, Valerio, et al.
Published: (2025)
by: Assenza, Valerio, et al.
Published: (2025)
Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds
by: Taimanov, I. A.
Published: (2024)
by: Taimanov, I. A.
Published: (2024)
Information Geometry on the $\ell^2$-Simplex via the $q$-Root Transform
by: Maier, Levin
Published: (2025)
by: Maier, Levin
Published: (2025)
Spectral invariants over the integers
by: Kawamoto, Yusuke, et al.
Published: (2023)
by: Kawamoto, Yusuke, et al.
Published: (2023)
An equivariant Reeb-Beltrami correspondence and the Kepler-Euler flow
by: Fontana-McNally, Josep, et al.
Published: (2023)
by: Fontana-McNally, Josep, et al.
Published: (2023)
The stochastic Hamilton-Jacobi-Bellman equation on Jacobi structures
by: Wei, Pingyuan, et al.
Published: (2025)
by: Wei, Pingyuan, et al.
Published: (2025)
Lie group foliations: Dynamical systems and integrators
by: McLachlan, Robert I., et al.
Published: (2002)
by: McLachlan, Robert I., et al.
Published: (2002)
$H$-covering of a supermanifold
by: Santamaria, Fernando A. Z., et al.
Published: (2024)
by: Santamaria, Fernando A. Z., et al.
Published: (2024)
Similar Items
-
Some stability properties of Hamiltonian Poisson integrators
by: Cosserat, Oscar
Published: (2025) -
Symmetry reduction of discrete Lagrangian mechanics on Lie groups
by: Marsden, Jerrold E., et al.
Published: (2000) -
Contact structures and Beltrami fields on the torus and the sphere
by: Peralta-Salas, Daniel, et al.
Published: (2020) -
Metriplectic dynamical systems on contact manifolds
by: Morrison, Philip J., et al.
Published: (2026) -
A Presymplectic and Symmetry Reduced Formulation of the Maxwell Vlasov System
by: Colombo, Leonardo
Published: (2025)