Dynamical systems and ergodic theory Hamiltonian dynamics Concept
Hamiltonian system
Summary
A Hamiltonian system is a dynamical system given by Hamilton's equations , for a function of positions and momenta. Such systems model mechanical systems without friction, such as planetary systems. See the definition.
Remarks
The name honours William Rowan Hamilton.
Where this leads
22 pages build on this one.
- Leapfrog integration
- Ergodic hypothesis
- Kolmogorov–Arnold–Moser theorem
- Hamiltonian Monte Carlo
- n-body problem
- Geometric integrator
- Standard map
- Liouville's theorem on phase-space volume
- Toda lattice
- Arnold diffusion
- Melnikov method
- Fermi–Pasta–Ulam–Tsingou problem
- Verlet integration
- Integrable system
- Variational integrator
- Action-angle coordinates
- Three-body problem
- Energy drift
- Symplectic integrator
- Nekhoroshev estimates
- Beeman's algorithm
- Duffing equation
Further reading
- Web https://en.wikipedia.org/wiki/Hamiltonian_system, lead section
About this page
| Tag | 0EDKGA2FAK |
|---|---|
| URI | m2://0EDKGA2FAK |
| Kind | concept |
| Writing | W1 stated |
| MSC | 37J06 |
| Same as |
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What links here
Definitions
Instances
Used by
- Leapfrog integration
- Ergodic hypothesis
- Kolmogorov–Arnold–Moser theorem
- Hamiltonian Monte Carlo
- n-body problem
- Geometric integrator
- Liouville's theorem on phase-space volume
- Toda lattice
- Arnold diffusion
- Melnikov method
- Fermi–Pasta–Ulam–Tsingou problem
- Integrable system
- Action-angle coordinates
- Three-body problem
- Energy drift
- Symplectic integrator
- Nekhoroshev estimates
- Duffing equation