The third integral and the Hamiltonian |
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| Authors: | C L Goudas |
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| Institution: | (1) Dept. of Theoretical Mechanics, University of Patras, Greece |
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| Abstract: | It is reiterated that any suggestion of the existence of a  third integral is at variance with Poincaré's theorem on the non-existence of such integrals. Even in a purely numerical approach no form of a new integral can be constructed that is valid in every domain of the phase space; and it is devoid of meaning to use as a third integral different forms of functions in various cases. |
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