Publication Abstracts
Contopoulos 1966
Contopoulos, G., 1966: Adiabatic invariants and the "third" integral. J. Math. Phys., 7, 788, doi:10.1063/1.1931208.
In a general case of Hamiltonian systems of n degrees of freedom, depending periodically ontime, n formal "third" integrals of motion are found. Their application in finding boundaries for theorbits is illustrated in a special case. Then a comparison is made between these integrals and theadiabatic invariants. Both are series expansions but the small parameter used is of different characterin each case. This is shown explicitly in a simple example and the relative accuracy of the twoexpansions is discussed.
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BibTeX Citation
@article{co06200v, author={Contopoulos, G.}, title={Adiabatic invariants and the "third" integral}, year={1966}, journal={Journal of Mathematical Physics}, volume={7}, pages={788}, doi={10.1063/1.1931208}, }
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RIS Citation
TY - JOUR ID - co06200v AU - Contopoulos, G. PY - 1966 TI - Adiabatic invariants and the "third" integral JA - J. Math. Phys. JO - Journal of Mathematical Physics VL - 7 SP - 788 DO - 10.1063/1.1931208 ER -
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