Stability of equilibria and fixed points of conservative systems

Nonlinearity

Volumn 12, Issue 5, 1999, Pages 1351-1362

  Cabral, Hildeberto E ^a   Meyer, Kenneth R ^b  

^a FEDERAL UNIVERSITY OF PERNAMBUCO   (Brazil)

^b UNIVERSITY OF CINCINNATI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033196541     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/12/5/309     Document Type: Article

References (13)

1. Arnold V I 1963 Proof of A N Kolmogorov's theorem on the preservation of quasiperiodic motions under small perturbations of the Hamiltonian Russ. Math. Surv. 18 9-36
2. Alfriend J 1970 The stability of the triangular Lagrangian points for commensurability of order 2 Celest. Mech. 1 351-9
3. 4 at three-to-one commensurability Celest. Mech. 4 60-77
4. Cherry T M 1928 On periodic solutions of Hamiltonian systems of differential equations Phil. Trans. R. Soc. A 227 137-221
5. Chetaev N 1961 The Stability of Motion (Oxford: Pergamon)
6. Dirichlet G L 1846 Über die stabilitát des gleichgewichts J. Reine Angew. Math. 32 85-8
7. Hall G R and Meyer K R 1995 Introduction to Hamiltonian Dynamical Systems and the N-Body Problem (New York: Springer)
8. Markeev A P 1966 On the stability of the triangular libration points in the circular bounded three body problem Appl. Math. Mech. 33 105-10
9. Markeev A P 1978 Libration Points in Celestial Mechanics and Space Dynamics (Moscow: Nauka) (in Russian)
10. Meyer K R 1971 Generic stability properties of periodic points Trans. Am. Math. Soc. 154 273-7
11. Meyer K R and Schmidt D S 1986 The stability of the Lagrange triangular point and a theorem of Arnold J. Diff. Eqns 62 222-36
12. Siegel C L and Moser JK 1971 Lectures on Celestial Mechanics (New York: Springer)
13. Whittaker E T 1937 A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (Cambridge: Cambridge University Press)