Periodic orbits for a generalized Friedmann-Robertson-Walker Hamiltonian system in dimension 6

Fatima Ezzahra Lembarki; Jaume Llibre

doi:https://doi.org/10.3934/dcdss.2015.8.1165

Periodic orbits for a generalized Friedmann-Robertson-Walker Hamiltonian system in dimension 6

Fatima Ezzahra Lembarki, Jaume Llibre

Department of Mathematics

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

4 Citations (Scopus)

Abstract

A generalized Friedmann-Robertson-Walker Hamiltonian system is studied in dimension 6. The averaging theory is the tool used to provide sufficient conditions on the six parameters of the system which guarantee the existence of continuous families of period orbits parameterized by the energy.

Original language	English
Pages (from-to)	1165-1211
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	8
Issue number	6
DOIs	https://doi.org/10.3934/dcdss.2015.8.1165
Publication status	Published - 1 Dec 2015

Keywords

Averaging theory
Family of periodic orbits
Friedmann-Robertson-Walker
Periodic orbits
Periodic orbits parameterized by the energy

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title = "Periodic orbits for a generalized Friedmann-Robertson-Walker Hamiltonian system in dimension 6",

abstract = "A generalized Friedmann-Robertson-Walker Hamiltonian system is studied in dimension 6. The averaging theory is the tool used to provide sufficient conditions on the six parameters of the system which guarantee the existence of continuous families of period orbits parameterized by the energy.",

keywords = "Averaging theory, Family of periodic orbits, Friedmann-Robertson-Walker, Periodic orbits, Periodic orbits parameterized by the energy",

author = "Lembarki, {Fatima Ezzahra} and Jaume Llibre",

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AU - Lembarki, Fatima Ezzahra

AU - Llibre, Jaume

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Y1 - 2015/12/1

N2 - A generalized Friedmann-Robertson-Walker Hamiltonian system is studied in dimension 6. The averaging theory is the tool used to provide sufficient conditions on the six parameters of the system which guarantee the existence of continuous families of period orbits parameterized by the energy.

AB - A generalized Friedmann-Robertson-Walker Hamiltonian system is studied in dimension 6. The averaging theory is the tool used to provide sufficient conditions on the six parameters of the system which guarantee the existence of continuous families of period orbits parameterized by the energy.

KW - Averaging theory

KW - Family of periodic orbits

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KW - Periodic orbits

KW - Periodic orbits parameterized by the energy

UR - https://ddd.uab.cat/record/169440

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M3 - Article

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JO - Discrete and Continuous Dynamical Systems - Series S

JF - Discrete and Continuous Dynamical Systems - Series S

SN - 1937-1632

IS - 6

ER -

Periodic orbits for a generalized Friedmann-Robertson-Walker Hamiltonian system in dimension 6

Abstract

Keywords

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