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Characteristic multipliers and stationary integrals

Published online by Cambridge University Press:  09 April 2009

Arthur R. Jones
Arthur R. Jones
Affiliation:
The Australian National UniversityCanberra
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In this note some rudimentary results about the characteristic multipliers of periodic solutions of differential equations are given which supplement those given by Poincaré [2], Chapitre IV, and by Wintner [4].

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 8 , Issue 2 , May 1968 , pp. 377 - 382
Copyright
Copyright © Australian Mathematical Society 1968

References

[1]Bartlett, J. H., ‘The restricted problem of three bodies’, Mat. Fys. Skr. Dan. Selsk. 2 (1964).Google Scholar
[2]Poincaré, H., Les méthodes nouvelles de la mécanique céleste (Tome I) (Gauthier-Villars, Paris, 1892).Google Scholar
[3]Siegel, C. L., Vorlesungen über Himmelsmechanik (Springer, 1956).Google Scholar
[4]Wintner, A., ‘Three notes on characteristic exponents and equations of variation in celestial mechanics’, Amer. J. Math. 53 (1931), 605–625.CrossRefGoogle Scholar
[5]Wintner, A., The analytical foundations of celestial mechanics (Princeton, 1947).Google Scholar