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Limit Cycle Bifurcations from a Nilpotent Focus or Center of Planar Systems
We study analytic properties of the Poincaré return map and generalized focal values of analytic planar systems with a nilpotent focus or center. We use the focal values and the map to study the number of limit cycles of this kind of systems and obtain ...
Maoan Han, Valery G. Romanovski
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Group Algebras with Nilpotent Unit Groups [PDF]
J. M. Bateman, D. B. Coleman
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Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]
Le Donne E, Morbidelli D, Rigot S.
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A cohomological characterization of finite nilpotent groups [PDF]
W. J. Wong
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Polynomial and horizontally polynomial functions on Lie groups. [PDF]
Antonelli G, Le Donne E.
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Let \(D\) be a division ring, \(V\) a vector space over \(D\) of infinite dimension. Say that an element \(g \in \text{GL} (V)\) is cofinitary if \(\dim_D C_V (g)\) is finite. A subgroup \(G \leq \text{GL} (V)\) is called cofinitary if all its non-trivial elements are cofinitary.
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