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

Jaume Llibre; Marco Antonio Teixeira

doi:https://doi.org/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

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

4 Citations (Scopus)

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. © Springer Science+Business Media, LLC 2006.

Original language	English
Pages (from-to)	931-941
Journal	Journal of Dynamics and Differential Equations
Volume	18
DOIs	https://doi.org/10.1007/s10884-006-9036-z
Publication status	Published - 1 Oct 2006

Keywords

Averaging method
Center
Limit cycle
Periodic orbit

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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",

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doi = "https://doi.org/10.1007/s10884-006-9036-z",

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AU - Teixeira, Marco Antonio

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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

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DO - https://doi.org/10.1007/s10884-006-9036-z

M3 - Article

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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

Abstract

Keywords

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