chapter  11
43 Pages

Hamiltonian Systems

ByR. Grimshaw

A Hamiltonian system is one for which the equations can be obtained from a single scalar function, H(p, q, t), called the Hamiltonian, in terms of which the equations are () p ′ = − ∂ H ∂ q ,             q ′ = ∂ H ∂ p   .