On dynamical systems close to a product of m rotations

Patrick Bonckaert; Timoteo Carletti; Ernest Fontich

On dynamical systems close to a product of m rotations

Patrick Bonckaert, Timoteo Carletti, Ernest Fontich

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Résumé

Nous considérons familles analytiques à 1 paramètre de champs de vecteurs et difféomorphismes, qui comprennent pour une valeur du paramètre le produit de rotations en R2m × Rn et telles que pour une valeur positive du paramètre l'origne est un point hyperbolique de type selle. Nous considérons la question de la détermination de la variété stable limite pout \epsilon qui tend vers zéro comme une variété invariante de type subcentre pour \epsilon = 0

langue originale	Anglais
Pages (de - à)	349-366
Nombre de pages	18
journal	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume	24
Numéro de publication	2
Etat de la publication	Publié - juin 2009

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@article{d676132d73d24c88806bdeedf390046f,

title = "On dynamical systems close to a product of m rotations",

abstract = "We consider analytic one parameter families of vector fields and diffeomorphisms, including for a parameter value, the product of rotations in R2m × Rn such that for positive values of the parameter the origin is a hyperbolic point of saddle type. We address the question of determining the limit stable invariant manifold when \epsilon goes to zero as a subcenter invariant manifold when \epsilon = 0",

keywords = " subcenter invariant manifolds, Perturbations of rotations, bifurcations",

author = "Patrick Bonckaert and Timoteo Carletti and Ernest Fontich",

note = "Publication code : FP SB010/2007/10 ; QA 0002.2/001/07/10",

year = "2009",

month = jun,

language = "English",

volume = "24",

pages = "349--366",

journal = "DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS",

publisher = "Southwest Missouri State University",

number = "2",

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TY - JOUR

T1 - On dynamical systems close to a product of m rotations

AU - Bonckaert, Patrick

AU - Carletti, Timoteo

AU - Fontich, Ernest

N1 - Publication code : FP SB010/2007/10 ; QA 0002.2/001/07/10

PY - 2009/6

Y1 - 2009/6

N2 - We consider analytic one parameter families of vector fields and diffeomorphisms, including for a parameter value, the product of rotations in R2m × Rn such that for positive values of the parameter the origin is a hyperbolic point of saddle type. We address the question of determining the limit stable invariant manifold when \epsilon goes to zero as a subcenter invariant manifold when \epsilon = 0

AB - We consider analytic one parameter families of vector fields and diffeomorphisms, including for a parameter value, the product of rotations in R2m × Rn such that for positive values of the parameter the origin is a hyperbolic point of saddle type. We address the question of determining the limit stable invariant manifold when \epsilon goes to zero as a subcenter invariant manifold when \epsilon = 0

KW - subcenter invariant manifolds

KW - Perturbations of rotations

KW - bifurcations

M3 - Article

VL - 24

SP - 349

EP - 366

JO - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

JF - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

IS - 2

ER -

On dynamical systems close to a product of m rotations

Résumé

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