Limit cycles for a mechanical system coming from the perturbation of a four-dimensional linear center

Jaume Llibre; Marco Antonio Teixeira

doi:10.1007/s10884-006-9036-z

Limit cycles for a mechanical system coming from the perturbation of a four-dimensional linear center

Jaume Llibre, Marco Antonio Teixeira

Departament de Matemàtiques

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Resum

We study the bifurcation of limit cycles from the periodic orbits of a four-dimensional center in a class of differential systems coming from the Mechanics. The tool for proving these results is the averaging theory. © Springer Science+Business Media, LLC 2006.

Idioma original	Anglès
Pàgines (de-a)	931-941
Revista	Journal of Dynamics and Differential Equations
Volum	18
DOIs	https://doi.org/10.1007/s10884-006-9036-z
Estat de la publicació	Publicada - 1 d’oct. 2006

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10.1007/s10884-006-9036-z

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@article{841ed17653a74359982c0e1bc9abe9db,

title = "Limit cycles for a mechanical system coming from the perturbation of a four-dimensional linear center",

abstract = "We study the bifurcation of limit cycles from the periodic orbits of a four-dimensional center in a class of differential systems coming from the Mechanics. The tool for proving these results is the averaging theory. {\textcopyright} Springer Science+Business Media, LLC 2006.",

keywords = "Averaging method, Center, Limit cycle, Periodic orbit",

author = "Jaume Llibre and Teixeira, {Marco Antonio}",

year = "2006",

month = oct,

day = "1",

doi = "10.1007/s10884-006-9036-z",

language = "English",

volume = "18",

pages = "931--941",

journal = "Journal of Dynamics and Differential Equations",

issn = "1040-7294",

publisher = "Springer New York",

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TY - JOUR

T1 - Limit cycles for a mechanical system coming from the perturbation of a four-dimensional linear center

AU - Llibre, Jaume

AU - Teixeira, Marco Antonio

PY - 2006/10/1

Y1 - 2006/10/1

N2 - We study the bifurcation of limit cycles from the periodic orbits of a four-dimensional center in a class of differential systems coming from the Mechanics. The tool for proving these results is the averaging theory. © Springer Science+Business Media, LLC 2006.

AB - We study the bifurcation of limit cycles from the periodic orbits of a four-dimensional center in a class of differential systems coming from the Mechanics. The tool for proving these results is the averaging theory. © Springer Science+Business Media, LLC 2006.

KW - Averaging method

KW - Center

KW - Limit cycle

KW - Periodic orbit

U2 - 10.1007/s10884-006-9036-z

DO - 10.1007/s10884-006-9036-z

M3 - Article

SN - 1040-7294

VL - 18

SP - 931

EP - 941

JO - Journal of Dynamics and Differential Equations

JF - Journal of Dynamics and Differential Equations

ER -

Limit cycles for a mechanical system coming from the perturbation of a four-dimensional linear center

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