Invariant manifolds of maps close to a product of rotations: close to the rotation axis-Reference-Cited by-同舟云学术

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

Published:2003-07 Issue:2 Volume:191 Page:490-517
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Bonckaert Patrick,Fontich Ernest

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference5 articles.

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-arc@math.utexas.edu, 2002. Indiana Univ. Math. J., in press.

2. F. Dumortier, S. Ibañez, H. Kokubu, C. Simó, forthcoming paper.

3. Invariant manifolds for near identity differentiable maps and splitting of separatrices;Fontich;Ergodic Theory Dyn. Systems,1990

4. Invariant Manifolds;Hirsch,1977

5. Singularities of vector fields;Takens;Publications Mathématiques de l’Institut des Hautes Études Scientifiques,1974

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Hopf-Zero singularities truly unfold chaos;Communications in Nonlinear Science and Numerical Simulation;2020-05

2. A formal classification of Hopf-Bogdanov-Takens singularities of codimension three;Journal of Mathematical Analysis and Applications;2019-12

3. About the unfolding of a Hopf-zero singularity;Discrete & Continuous Dynamical Systems - A;2013

4. On dynamical systems close to a product of $m$ rotations;Discrete & Continuous Dynamical Systems - A;2009

5. Invariant manifolds of dynamical systems close to a rotation: Transverse to the rotation axis;Journal of Differential Equations;2005-07