Invariance and integrability: Henon-Heiles and two coupled quartic anharmonic oscillator systems
- 11 November 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (16) , L949-L954
- https://doi.org/10.1088/0305-4470/19/16/001
Abstract
It is shown that the Henon-Heiles and two coupled quartic anharmonic oscillator systems possess non-trivial generalised Lie symmetries for specific sets of parametric values, for which second integrals of motion can also be constructed directly using Noether's theorem, thereby establishing their complete integrability.Keywords
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