Invariant foliations and decoupling of non-autonomous difference equations

Journal of Difference Equations and Applications

Volumn 9, Issue 5, 2003, Pages 459-472

  Aulbach, Bernd ^a   Wanner, Thomas ^b  

^a UNIVERSITY OF AUGSBURG   (Germany)

^b UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

Author keywords

Decoupling; Invariant fiber bundle; Invariant foliation; Invariant manifold; Non autonomous difference equation; Non invertible difference equation

Indexed keywords

EID: 0037910374     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/1023619031000076524     Document Type: Article

References (5)

1. B. Aulbach, Differenzengleichungen und dynamische Systeme, University of Augsburg, 1990, Classroom course.
2. B. Aulbach, The fundamental existence theorem on invariant fiber bundles, J. Diff. Equ. Appl., 3 (1998), 501-537.
3. B. Aulbach and T. Wanner, Invariant foliations for Carathéodory type differential equations in Banach spaces, In: V. Lakshmikantham and A. A. Martynyuk, eds, Advances of Stability Theory at the End of XX Century, Taylor and Francis, London, to appear.
4. U. Kirchgraber and K. Palmer, Geometry in the Neighborhood of Invariant Manifolds of Maps and Flows and Linearization, Pitman, London, 1991.
5. T. Wanner, Invariante Faserbündel und topologische Äquivalenz bei dynamischen Prozessen, Diploma Thesis, University of Augsburg, (1991).