Reminiscences on science at IHÉS. A problem on homoclinic theory and a brief review

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5. [Ge] V.G. Gelfreich , A proof of exponentially small transversality of the sepratrices for the standard map, in mp_arc@math.utexas.edu, #98-270: this recent paper, besides clarifyng various aspects of previous papers, provides an accurate exposition of the main ideas (and appropriate references) of the other papers by the russian school . 
6. [GGM0] G. Gallavotti , G. Gentile, V. Mastropietro, Field theory and KAM tori , p. 1-9, Mathematical Physics Electronic Journal, MPEJ, 1, 1995. ( http://mpej.unige.ch ) Zbl0849.58038MR1359460
7. [GGM1] G. Gallavotti , G. Gentile, V. Mastropietro, Separatrix splitting for systems with three time scales, to appear in Communications in Mathematical Physics, preprint in Pendulum: separatrix splitting, mp_arc@math.utexas.edu, # 97-472. Zbl0936.37034
8. [GGM2] G. Gallavotti , G. Gentile, V. Mastropietro, HamiltonJacobi equation, heteroclinic chains and Arnol'd diffusion in three time scales systems, mp_arc@math.utexas.edu #98-4; chao-dyn@xyz.lanl.gov, #9801004. 
9. [GGM3] G. Gallavotti , G. Gentile, V. Mastropietro, Melnikov's approximation dominance . Some examples, chaodyn@xyz.lanl.gov #9804043 . 
10. [GGM4] G. Gallavotti , G. Gentile, V. Mastropietro, Homoclinic splitting, II. A possible counterexample to a claim by Rudnev and Wiggins on PhysicaD, chao-dyn@xyz.lanl.gov #9804017. 
11. [HM] P. Holmes , J. Marsden, Melnikov's method and Arnold diffusionforperturbations of integrable systems , Journal of Mathematical Physics, 23, 669-676, 1982.. Zbl0497.70025MR649549
12. See also: Holmes, P., Marsden, J., Scheurle, J.: Exponentially Small Splittings of Separatrices with applications to KAM Theory and Degenerate Bifurcations, Contemporary Mathematics , 81, 213-244, 1988. Zbl0685.70017MR986267
13. [T] W. Thirring , Course in Mathematical Physics, vol. 1, p. 133, Springer , Wien, 1983 . Zbl0491.46057MR681697