Hyperbolic periodic orbits from the bifurcation of a four-dimensional nonlinear center

Antoni Ferragut; Jaume Llibre; Marco Antonio Teixeira

doi:https://doi.org/10.1142/S0218127407018294

Hyperbolic periodic orbits from the bifurcation of a four-dimensional nonlinear center

Antoni Ferragut, Jaume Llibre, Marco Antonio Teixeira

Department of Mathematics

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

2 Citations (Scopus)

Abstract

We study the bifurcation of hyperbolic periodic orbits from a four-dimensional nonlinear center in a class of differential systems. The tool for proving these results is the averaging theory. © World Scientific Publishing Company.

Original language	English
Pages (from-to)	2159-2167
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	17
DOIs	https://doi.org/10.1142/S0218127407018294
Publication status	Published - 1 Jan 2007

Keywords

Center averaging method
Limit cycle
Periodic orbit

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title = "Hyperbolic periodic orbits from the bifurcation of a four-dimensional nonlinear center",

abstract = "We study the bifurcation of hyperbolic periodic orbits from a four-dimensional nonlinear center in a class of differential systems. The tool for proving these results is the averaging theory. {\textcopyright} World Scientific Publishing Company.",

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

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AU - Teixeira, Marco Antonio

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N2 - We study the bifurcation of hyperbolic periodic orbits from a four-dimensional nonlinear center in a class of differential systems. The tool for proving these results is the averaging theory. © World Scientific Publishing Company.

AB - We study the bifurcation of hyperbolic periodic orbits from a four-dimensional nonlinear center in a class of differential systems. The tool for proving these results is the averaging theory. © World Scientific Publishing Company.

KW - Center averaging method

KW - Limit cycle

KW - Periodic orbit

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DO - https://doi.org/10.1142/S0218127407018294

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