States that for a nondissipative Hamiltonian System, phase space density (the Area between phase space
contours) is constant. This requires that, given a small time increment ,

(1) |

(2) |

(3) |

Expressed in another form, the integral of the Liouville Measure,

(4) |

**References**

Chavel, I. *Riemannian Geometry: A Modern Introduction.* New York: Cambridge University
Press, 1994.

© 1996-9

1999-05-25