Conformal Hamiltonian systems

By Robert I. McLachlan, Matthew Perlmutter. 2001

117 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c279006aee3638b06c31899f3bb93af8ffc18bd1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

1. G. Quispel
2. Jerrold E. Marsden
3. Robert I. McLachlan
4. Houman Owhadi
5. Molei Tao

In Statistical and Nonlinear Physics

1. G. Quispel
2. Robert I. McLachlan
3. Houman Owhadi
4. Molei Tao
5. Jerrold E. Marsden
6. Sanjay Lall
7. Petr Krysl
8. G. Haller

Citations in the corpus

• Nonintrusive and Structure Preserving Multiscale Integration of Stiff ODEs, SDEs, and Hamiltonian Systems with Hidden Slow Dynamics via Flow Averaging (2009, background): “, it preserves the precise symplectic area change associated with the flow of inertial Langevin processes [84].”
• Geometric integrators for ODEs (2006, background): “Conformal Hamiltonian systems can be integrated [84] by splitting off the dissipative part, which (without loss of generality) always has the form q̇ = 0, ṗ = −cp and can be integrated explicitly.”
• Splitting methods (2002, unknown): “(The structure of these systems is studied in McLachlan and Perlmutter (2001).)”