Exponentially small splitting of separatrices for area-preserving maps

Chaos, solitons and fractals

Volumn 11, Issue 1, 2000, Pages 241-243

  Gelfreich, Vassili ^a,b  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^b FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; FUNCTIONS; ORDINARY DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; THEOREM PROVING;

AREA-PRESERVING MAPS; SEPARATRICES;

CHAOS THEORY;

EID: 0033942873     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(98)00289-6     Document Type: Article

References (7)

1. E. Fontich, C. Simó, The splitting of separatrices for analytic diffeomorphisms, Ergodic Theory Dynamical Systems 10 (1990) 295-318.
2. V.G. Gelfreich, Conjugation to a shift and the splitting of invariant manifolds, Applicationes Mathematicae 24 (2) (1996) 127-140.
3. V.G. Gelfreich, A proof of the exponentially small transversality of the separatrices for the standard map, 1997, preprint;
4. Comm. Math. Phys. 201 (1999) 155-219.
5. V.G. Gelfreich, V.F. Lazutkin, N.V. Svanidze, A refined formula for the separatrix splitting for the standard map, Physica D 71 (2) (1994) 82-101.
6. V.G. Gelfreich, V.F. Lazutkin, M.B. Tabanov, Exponentially small splitting in Hamiltonian systems, Chaos 1 (2) (1991) 137-142.
7. V.F. Lazutkin, Splitting of separatrices for the Chirikov's standard map. VINITI no. 6372/84, 1984 (Russian).