Invariant tori fulfilled by periodic orbits for four-dimensional C 2 differential systems in the presence of resonance

Jaume Llibre; Ana Cristina Mereu; Marco A. Teixeira

doi:10.1142/S0218127410027738

Invariant tori fulfilled by periodic orbits for four-dimensional C ² differential systems in the presence of resonance

Jaume Llibre, Ana Cristina Mereu, Marco A. Teixeira

Departament de Matemàtiques

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Resum

We provide an algorithm for studying invariant tori fulfilled by periodic orbits of a perturbed system which emerge from the set of periodic orbits of an unperturbed linear system in p : q resonance. We illustrate the algorithm with an application. © 2010 World Scientific Publishing Company.

Idioma original	English
Pàgines (de-a)	3341-3344
Revista	International Journal of Bifurcation and Chaos
Volum	20
Número	10
DOIs	https://doi.org/10.1142/S0218127410027738
Estat de la publicació	Publicada - 1 de gen. 2010

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10.1142/S0218127410027738

Com citar-ho

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title = "Invariant tori fulfilled by periodic orbits for four-dimensional C 2 differential systems in the presence of resonance",

abstract = "We provide an algorithm for studying invariant tori fulfilled by periodic orbits of a perturbed system which emerge from the set of periodic orbits of an unperturbed linear system in p : q resonance. We illustrate the algorithm with an application. {\textcopyright} 2010 World Scientific Publishing Company.",

keywords = "averaging theory, center, invariant tori, Periodic orbit, resonance",

author = "Jaume Llibre and Mereu, {Ana Cristina} and Teixeira, {Marco A.}",

year = "2010",

month = jan,

day = "1",

doi = "10.1142/S0218127410027738",

language = "English",

volume = "20",

pages = "3341--3344",

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}

Invariant tori fulfilled by periodic orbits for four-dimensional C ² differential systems in the presence of resonance. / Llibre, Jaume; Mereu, Ana Cristina; Teixeira, Marco A.
In: International Journal of Bifurcation and Chaos, Vol. 20, Núm. 10, 01.01.2010, pàg. 3341-3344.

Producció científica: Contribució a una revista › Article › Recerca › Avaluat per experts

TY - JOUR

T1 - Invariant tori fulfilled by periodic orbits for four-dimensional C 2 differential systems in the presence of resonance

AU - Llibre, Jaume

AU - Mereu, Ana Cristina

AU - Teixeira, Marco A.

PY - 2010/1/1

Y1 - 2010/1/1

N2 - We provide an algorithm for studying invariant tori fulfilled by periodic orbits of a perturbed system which emerge from the set of periodic orbits of an unperturbed linear system in p : q resonance. We illustrate the algorithm with an application. © 2010 World Scientific Publishing Company.

AB - We provide an algorithm for studying invariant tori fulfilled by periodic orbits of a perturbed system which emerge from the set of periodic orbits of an unperturbed linear system in p : q resonance. We illustrate the algorithm with an application. © 2010 World Scientific Publishing Company.

KW - averaging theory

KW - center

KW - invariant tori

KW - Periodic orbit

KW - resonance

U2 - 10.1142/S0218127410027738

DO - 10.1142/S0218127410027738

M3 - Article

SN - 0218-1274

VL - 20

SP - 3341

EP - 3344

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 10

ER -

Invariant tori fulfilled by periodic orbits for four-dimensional C 2 differential systems in the presence of resonance

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Invariant tori fulfilled by periodic orbits for four-dimensional C ² differential systems in the presence of resonance