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E. Aranda-Bricaire, C. Moog, J. Pomet (1995)
Banach Center Publications
We define, in an infinite-dimensional differential geometric framework, the 'infinitesimal Brunovský form' which we previously introduced in another framework and link it with equivalence via diffeomorphism to a linear system, which is the same as linearizability by 'endogenous dynamic feedback'.
Xianghong Gong (1995)
Annales de l'institut Fourier
We study the normalization of analytic vector fields with a nilpotent linear part. We prove that such an analytic vector field can be transformed into a certain form by convergent transformations when it has a non-singular formal integral. We then prove that there are smoothly linearizable parabolic analytic transformations which cannot be embedded into the flows of any analytic vector fields with a nilpotent linear part.
Meshkov, Anatoly G., Balakhnev, Maxim Ju. (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Svinin, Andrei K. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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