most citedGeneralized Normal Forms of Infinitesimal Symplectic and Contact Transformations in the Neighborhood of a Singular Point

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math.DS2013★ 1 cited

Generalized Normal Forms of Infinitesimal Symplectic and Contact Transformations in the Neighborhood of a Singular Point

Arthur S. Vaganyan

Definition of generalized normal form for a system of ODEs corresponding to an infinitesimal symplectic or contact transformation near a singular point, with an arbitrary polynomia…

math.DS2012★ 1 cited

Generalized Normal Forms of Two-Dimensional Autonomous Systems with a Hamiltonian Unperturbed Part

Arthur Vaganyan, Vladimir Basov

Generalized pseudo-Hamiltonian normal forms (GPHNF) and an effective method of obtaining them are introduced for two-dimensional systems of autonomous ODEs with a Hamiltonian quasi…