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Infinitesimal Brunovský form for nonlinear systems with applications to Dynamic Linearization

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'.

Integrable analytic vector fields with a nilpotent linear part

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.

Integrable anisotropic evolution equations on a sphere.

Meshkov, Anatoly G., Balakhnev, Maxim Ju. (2005)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Integrable discrete equations derived by similarity reduction of the extended discrete KP hierarchy.

Svinin, Andrei K. (2006)