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Title: | ON DYNAMICAL SYSTEMS CLOSE TO A PRODUCT OF m ROTATIONS | Authors: | BONCKAERT, Patrick Carletti, Timoteo Fontich, Ernest |
Issue Date: | 2009 | Publisher: | AMER INST MATHEMATICAL SCIENCES | Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 24(2). p. 349-366 | Abstract: | We consider one parameter families of analytic vector fields and diffeomorphisms, including for a parameter value, say epsilon = 0, the product of rotations in R-2m x R-n 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. | Notes: | [Bonckaert, Patrick] Hasselt Univ, B-3590 Diepenbeek, Belgium. [Carletti, Timoteo] Fac Univ Notre Dame Paix, Dept Math, B-5000 Namur, Belgium. [Fontich, Ernest] Univ Barcelona, Dept Matemat Aplicada & Anal, E-08007 Barcelona, Spain. | Keywords: | Perturbations of rotations; subcenter invariant manifolds; bifurcations | Document URI: | http://hdl.handle.net/1942/9652 | ISSN: | 1078-0947 | e-ISSN: | 1553-5231 | DOI: | 10.3934/dcds.2009.24.349 | ISI #: | 000265190500005 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2010 |
Appears in Collections: | Research publications |
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