منابع مشابه
PBW Bases, Non–Degeneracy Conditions and Applications
We establish an explicit criteria (the vanishing of non–degeneracy conditions) for certain noncommutative algebras to have Poincaré–Birkhoff– Witt basis. We study theoretical properties of such G–algebras, concluding they are in some sense ”close to commutative”. We use the non–degeneracy conditions for practical study of certain deformations of Weyl algebras, quadratic and diffusion algebras. ...
متن کاملKAM theory in configuration space
A new approach to the Kolmogorov-Arnold-Moser theory concermng the existence of invariant ton having prescnbed frequencies îs presented It îs based on the Lagrangian formahsm m configuration space instead of the Hamiltonian formahsm in phase space used in earher approaches In particular, the construction of the invariant ton avoids the composition of infinitely many coordinate transformations T...
متن کاملA tutorial on KAM theory
This is a tutorial on some of the main ideas in KAM theory. The goal is to present the background and to explain and compare somewhat informally some of the main methods of proof. It is an expanded version of the lectures given by the author in the Summer Research Institute on Smooth Ergodic Theory Seattle, 1999. The style is somewhat informal and expository and it only aims to be an introducti...
متن کاملConverse KAM Theory for monotone
We apply variational methods to Converse KAM theory. These are useful for symplectomorphisms in the annulus that satisfy weaker hypotheses than those usually required. For instance, we do not need the existence of a global Lagrangian generating function. We obtain the variational principles from the primitive function of our symplectomorphism. They are introduced not only for the orbits of a sy...
متن کاملKAM theory and Geometric Integration
The main goal of this meeting was to bring together people working on the qualitative behavior of solutions of Hamiltonian systems (ordinary differential equations and partial differential equation) both from the theoretical and numerical points of view. The motivation for this workshop came from some recent developments both from the theoretical and numerical sides done essentially on the qual...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2011
ISSN: 0019-3577
DOI: 10.1016/j.indag.2011.09.005