Invariant manifolds of maps close to a product of rotations: Close to the rotation axis

Journal of Differential Equations

Volumn 191, Issue 2, 2003, Pages 490-517

  Bonckaert, Patrick ^a   Fontich, Ernest ^b  

^a HASSELT UNIVERSITY   (Belgium)

^b Dept de Matematica Aplicada Analisi ^*  (Spain)

Author keywords

Bifurcations; Invariant manifolds; Perturbations of rotations

Indexed keywords

EID: 0038685348     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0396(03)00025-1     Document Type: Article

References (5)

1. X. Cabré, E. Fontich, R. de la Llave, The parameterization method for invariant manifolds I: manifolds associated to non-resonant subspaces, preprint, 02-16, mp-arcμath.utexas.edu, 2002. Indiana Univ. Math. J., in press.
2. F. Dumortier, S. Ibañez, H. Kokubu, C. Simó, forthcoming paper.
3. E. Fontich, C. Simó, Invariant manifolds for near identity differentiable maps and splitting of separatrices, Ergodic Theory Dyn. Systems 10 (1990) 319-346.
4. M. Hirsch, C. Pugh, M. Shub, Invariant Manifolds, in: Lecture Notes in Mathematics, Vol. 583, Springer, New York, 1977.
5. F. Takens, Singularities of vector fields, Publications Mathématiques de l'Institut des Hautes Études Scientifiques 43 (1974) 47-100.