Homoclinic orbits in the complex domain

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 7, Issue 2, 1997, Pages 253-274

  Lazutkin, V F ^a   Simo C ^b  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^b UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031063207     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127497000182     Document Type: Article

References (14)

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5. Lazutkin, V. F. [1992-1993a] "An analytic integral along the separatrix of the semistandard map: Existence and an exponential estimate for the distance between the stable and unstable separatrices," Algebra i Analis 4(4), 110-142; St. Petersburg Math. J. 4(4), 721-748.
6. Lazutkin, V. F. [1992-1993a] "An analytic integral along the separatrix of the semistandard map: Existence and an exponential estimate for the distance between the stable and unstable separatrices," Algebra i Analis 4(4), 110-142; St. Petersburg Math. J. 4(4), 721-748.
7. Lazutkin, V. F. [1993b] "Existence of ferns," Universitat de Barcelona. Mathematics Preprint Series No. 137.
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10. Percival, I. C. [1982] "Chaotic boundary of a Hamiltonian map," Physica D6, 67-77.
11. Pesin, Ya. B. [1976] "Families of invariant manifolds corresponding the nonzero characteristic exponents," Izvestiya Akademii Nauk SSSR, ser.mat. 40(6), 1332-1379.
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13. Poincaré, H. [1892] Les Méthodes Nouvelles de la Méchanique Céleste, Vols. 1-3, Gauthier-Villars, Paris, reprinted by Dover, New York, 1957.
14. Simó, C. [1990] "Analytical and numerical computation of invariant manifolds," in Modern Methods in Celestial Mechanics eds. Benest, D. & Froeschlé, C. (Editions Frontières), pp. 285-330.