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Journal of Differential Equations
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Journal of Differential Equations
Article . 2005
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Polynomial normal forms with exponentially small remainder for analytic vector fields

Authors: Iooss, Gérard; Lombardi, Eric;

Polynomial normal forms with exponentially small remainder for analytic vector fields

Abstract

A key tool in the study of the dynamics of vector fields near an equilibrium point is the theory of normal forms, invented by Poincaré, which give simple forms to which a vector field can be reduced close to the equilibrium...

Country
France
Keywords

Normal forms for dynamical systems, 330, Exponentially small remainders, optimal truncation, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], semisimple linearization, exponentially small remaiders, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Normal forms, 510, exponentially small remainders, Analytic vector fields, normal forms, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], analytic vector fields, small divisors, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Transformation and reduction of ordinary differential equations and systems, normal forms, Analysis

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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!
42
Top 10%
Top 10%
Top 10%
Green
hybrid