Normal forms á la moser for aperiodically time-dependent hamiltonians in the vicinity of a hyperbolic equilibrium

Alessandro Fortunati; Stephen R Wiggins

doi:10.3934/dcdss.2016044

Normal forms á la moser for aperiodically time-dependent hamiltonians in the vicinity of a hyperbolic equilibrium

Alessandro Fortunati, Stephen R Wiggins

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Abstract

The classical theorem of Moser, on the existence of a normal form in the neighbourhood of a hyperbolic equilibrium, is extended to a class of real-analytic Hamiltonians with aperiodically time-dependent perturbations. A stronger result is obtained in the case in which the perturbing function exhibits a time decay.

Original language	English
Pages (from-to)	1109-1118
Number of pages	10
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	9
Issue number	4
DOIs	https://doi.org/10.3934/dcdss.2016044
Publication status	Published - 1 Aug 2016

Keywords

Hamiltonian systems
Moser normal form
Aperiodic time dependence

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title = "Normal forms {\'a} la moser for aperiodically time-dependent hamiltonians in the vicinity of a hyperbolic equilibrium",

abstract = "The classical theorem of Moser, on the existence of a normal form in the neighbourhood of a hyperbolic equilibrium, is extended to a class of real-analytic Hamiltonians with aperiodically time-dependent perturbations. A stronger result is obtained in the case in which the perturbing function exhibits a time decay. ",

keywords = "Hamiltonian systems, Moser normal form, Aperiodic time dependence",

author = "Alessandro Fortunati and Wiggins, \{Stephen R\}",

year = "2016",

month = aug,

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doi = "10.3934/dcdss.2016044",

language = "English",

volume = "9",

pages = "1109--1118",

journal = "Discrete and Continuous Dynamical Systems - Series S",

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publisher = "American Institute of Mathematical Sciences",

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T1 - Normal forms á la moser for aperiodically time-dependent hamiltonians in the vicinity of a hyperbolic equilibrium

AU - Fortunati, Alessandro

AU - Wiggins, Stephen R

PY - 2016/8/1

Y1 - 2016/8/1

N2 - The classical theorem of Moser, on the existence of a normal form in the neighbourhood of a hyperbolic equilibrium, is extended to a class of real-analytic Hamiltonians with aperiodically time-dependent perturbations. A stronger result is obtained in the case in which the perturbing function exhibits a time decay.

AB - The classical theorem of Moser, on the existence of a normal form in the neighbourhood of a hyperbolic equilibrium, is extended to a class of real-analytic Hamiltonians with aperiodically time-dependent perturbations. A stronger result is obtained in the case in which the perturbing function exhibits a time decay.

KW - Hamiltonian systems

KW - Moser normal form

KW - Aperiodic time dependence

UR - https://arxiv.org/abs/1503.05134v2

U2 - 10.3934/dcdss.2016044

DO - 10.3934/dcdss.2016044

M3 - Article (Academic Journal)

SN - 1937-1632

VL - 9

SP - 1109

EP - 1118

JO - Discrete and Continuous Dynamical Systems - Series S

JF - Discrete and Continuous Dynamical Systems - Series S

IS - 4

ER -

Normal forms á la moser for aperiodically time-dependent hamiltonians in the vicinity of a hyperbolic equilibrium

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Keywords

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