Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-19T11:47:18.321Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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