Hénon-Heiles Equation
A nonlinear nonintegrable Hamiltonian System with
 |  |  | (1) |
 | |  | (2) |
where
 | |  | (3) |
 | |  | (4) |
The energy is
 | (5) |
The above plots are Surfaces of Section for 
and 
. The Hamiltonian for ageneralized Hénon-Heiles potential is
 | (6) |
- 1.
, - 2.
, - 3.
, and - 4.
.
References
Gleick, J. Chaos: Making a New Science. New York: Penguin Books, pp. 144-153, 1988. Hénon, M. and Heiles, C. ``The Applicability of the Third Integral of Motion: Some Numerical Experiments.'' Astron. J. 69, 73-79, 1964.
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