Invariance and integrability: Henon-Heiles and two coupled quartic anharmonic oscillator systems

Sahadevan, R. ; Lakshmanan, M. (1986) Invariance and integrability: Henon-Heiles and two coupled quartic anharmonic oscillator systems Journal of Physics A: Mathematical and General, 19 (16). L949-L954. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/19/16/001

Related URL: http://dx.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.

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