Perturbation series for calculation of invariant surface splitting in volume-preserving maps

The invariant surface splittings for small perturbation are described for two-dimensional and three-dimensional sample volume-preserving maps by explicit analytic expressions obtained from perturbation series for the self-adjoint operator related to the Frobenius–Perron operator.

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2010-12, Vol.20 (4), p.043102-043102
Main Author: Korneev, N.
Format: Article
Language:English
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Summary:The invariant surface splittings for small perturbation are described for two-dimensional and three-dimensional sample volume-preserving maps by explicit analytic expressions obtained from perturbation series for the self-adjoint operator related to the Frobenius–Perron operator.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.3496401