---
tag: 0EDKGA2FAK
kind: concept
name: Hamiltonian system
msc: [37J06]
sources:
  - url: https://en.wikipedia.org/wiki/Hamiltonian_system
    locator: lead section
same_as:
  wikidata: Q2072471
  wikipedia: Hamiltonian system
---

## Summary

A Hamiltonian system is a dynamical system given by Hamilton's equations $q' = \partial H / \partial p$, $p' = -\partial H / \partial q$ for a function $H$ of positions and momenta.
Such systems model mechanical systems without friction, such as planetary systems. See the [[definition|0C2AKPDCD9]].

## Remarks

The name honours William Rowan Hamilton.