Journal
RUSSIAN MATHEMATICAL SURVEYS
Volume 56, Issue 3, Pages 499-558Publisher
TURPION LTD
DOI: 10.1070/RM2001v056n03ABEH000394
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This is a survey of the main results related to separatrix splitting for area-preserving maps and Hamiltonian systems with one and a half degrees of freedom. Special attention is paid to problems in which the separatrix splitting is exponentially small with respect to the perturbation parameter.
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