Stability of homoclinic orbits and diffusion in phase space

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 230, Issue 3-4, 1997, Pages 183-189

  Grotta Ragazzo, C ^a,b  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

Hamiltonian systems; Homoclinic orbits; Stability

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DEGREES OF FREEDOM (MECHANICS); DYNAMICAL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS;

EIGENVALUES; HAMILTONIAN SYSTEMS; HOMOCLINIC; HOMOCLINIC ORBITS; IN-PHASE; TWO DEGREES OF FREEDOM;

HAMILTONIANS;

EID: 0002921477     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(97)00230-2     Document Type: Article

References (24)

1. V.I. Arnold, V.V. Kozlov and A.I. Neishtadt, Dynamical systems III, Encyclopaedia of mathematical sciences, Vol. 3 (Springer, Berlin, 1988).
2. V.I. Arnold, Dokl. Nauk. Akad. SSSR 156 (1964) 9.
3. B.V. Chirikov, Phys. Rep. 52 (1979) 264.
4. M. Hénon and C. Heiles, Astron. J. 69 (1964) 73.
5. L.M. Lerman, Sel. Math. Sov. 10 (1991) 297.
6. A. Mielke, P. Holmes and O. O'Reilly, J. Dyn. Diff. Eqs. 4 (1992) 95.
7. C. Conley, J. Diff. Eq. 5 (1969) 136.
8. R.C. Churchill, D.L. Rod, J. Diff. Eqs. 37 (1980) 351.
9. J. Llibre, R. Martínez, C. Simó, J. Diff. Eq. 58 (1985) 104.
10. C. Grotta Ragazzo, to appear in Comm. Math. Phys.
11. C. Grotta Ragazzo, Comm. Math. Phys. 166 (1994) 255.
12. C. Grotta Ragazzo, Comm. Pure Appl. Math 50 (1997) 108.
13. C. Grotta Ragazzo, in preparation.
14. S.S. Abdullaev and G.M. Zaslavsky, Phys. Plasmas 2 (1995) 4533; Phys. Plasmas 3 (1996) 1.
15. S.S. Abdullaev and G.M. Zaslavsky, Phys. Plasmas 2 (1995) 4533; Phys. Plasmas 3 (1996) 1.
16. L.D. Landau and E.M. Lifshitz, Quantum mechanics, nonrelativistic theory (Pergamon, Oxford, 1965) Section 25, Problem 4.
17. P. Morse and H. Feshbach, Methods of theoretical physics, Vol. 2 (McGraw-Hill, New York, 1953) ch. 12.3, Eq. 12.3.22.
18. J.D. Meiss, Rev. Mod. Phys. 64 (1992) 795.
19. J. Mather, Erg. Th. Dyn. Syst. 4 (1984) 301.
20. J. Llibre, R. Martínez and C. Simó, J. Diff. Eq. 58 (1985) 104.
21. C. Grotta Ragazzo, preprint (1996).
22. J. Bastos de Figueiredo, C. Grotta Ragazzo and C.P. Malta, preprint (1997).
23. C. Grotta Ragazzo, Int. J. Bif. Chaos 5 (1995) 545.
24. O.Yu. Koltsova and L.M. Lerman, Int. J. Bif. Chaos 6 (1996) 991.