Integration of a generalized Hénon-Heiles Hamiltonian

Details Integration of a generalized Hénon-Heiles Hamiltonian Integration of a generalized Hénon-Heiles Hamiltonian

2001-12-19

arxiv.org/abs/nlin/0112030v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTex 2e. To appear, Journal of Mathematical Physics

Scientific paper

10.1063/1.1456948

The generalized H\'enon-Heiles Hamiltonian $H=1/2(P_X^2+P_Y^2+c_1X^2+c_2Y^2)+aXY^2-bX^3/3$ with an additional nonpolynomial term $\mu Y^{-2}$ is known to be Liouville integrable for three sets of values of $(b/a,c_1,c_2)$. It has been previously integrated by genus two theta functions only in one of these cases. Defining the separating variables of the Hamilton-Jacobi equations, we succeed here, in the two other cases, to integrate the equations of motion with hyperelliptic functions.

Affiliated with

Also associated with

No associations

Rating

Integration of a generalized Hénon-Heiles Hamiltonian does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Integration of a generalized Hénon-Heiles Hamiltonian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integration of a generalized Hénon-Heiles Hamiltonian will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-521742