Research of the periodic solutions of the Hénon-Heiles nonintegrable Hamiltonian system by the Lindstedt-Poincaré method

Journal of Physics A: Mathematical and General

Volumn 31, Issue 22, 1998, Pages 5083-5103

  Benbachir, Saâd ^a,b  

^a FACULTÉ DES SCIENCES   (Morocco)

^b NONE   (Morocco)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032486021     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/22/010     Document Type: Article

References (13)

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4. Benbachir S 1987 Contribution à l'étude des solutions périodiques de systèmes Hamiltoniens par un algorithme de calcul basé sur la méthode de Lindstedt-Poincaré Doctorat en Math-Appliquées Pau, France
5. Hénon M and Heiles C 1964 The applicability of the third integral of motion; some numerical experiments Astron. J. 69 73-9
6. Giacaglia G E O 1978 Perturbation Methods in Nonlinear Systems (Applied Mathematical Science 8) (New York: Springer)
7. Kevorkian J and Cole J D 1981 Perturbation Methods in Applied Mathematics (New York: Springer)
8. Codaccioni J P and Caboz R 1984 Anharmonic oscillators and generalised hypergeometric functions J. Math. Phys. 25
9. Caboz R and Loiseau J F 1983 Lien entre période et hauteur normalisée à l'intérieur de puits de potentiel pour l'oscillateur anharmonique C. R. Acad. Sci., Paris. T 296 1753-6
10. Churchill R C, Pecelli G P and Rod D L 1979 A survey of Henon-Heiles Hamiltonian with applications to related examples Stochastic Behaviour in Classical and Quantum Hamiltonian Systems (Lecture Notes in Physics 93) (Berlin: Springer)
11. Reinhard H 1982 Equations différentielles Fondements et Applications (Paris: Gauthier-Villars)
12. Burlirsh R and Stoer J. 1990 Introduction to Numerical Analysis (New York: Springer)
13. Cuyt A and Wuytack L 1987 Nonlinear Methods in Numerical Analysis (Mathematics Studies 136) (Amsterdam: North-Holland)