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SIAM Journal on Applied Dynamical Systems
Article
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arXiv.org e-Print Archive
Preprint . 2012
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SIAM Journal on Applied Dynamical Systems
Article . 2012 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2012
License: arXiv Non-Exclusive Distribution
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Article . 2012
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https://dx.doi.org/10.1137/110...
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The Inner Equation for Generalized Standard Maps

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2012Embargo end date: 01 Jan 2012 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Applied Dynamical Systems, volume 11, pages 1,062-1,097 (eissn: 1536-0040, Copyright policy )
Authors: Immaculada Baldomá; Pau Martín;

doi: 10.1137/110859932 , 10.48550/arxiv.1206.5623

arXiv: 1206.5623

The Inner Equation for Generalized Standard Maps

Abstract

We study particular solutions of the inner equation associated to the splitting of separatrices on generalized standard maps. An exponentially small complete expression for their difference is obtained. We also provide numerical evidence that the inner equation provides quantitative information of the splitting of separatrices even in the case when the limit flow does not.

38 pages, 5 figures

Related Organizations
Keywords

37J10, 34C37, 37C29, 34E10, 34M37, FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Average
Average
Green
bronze