Generalized normal forms of two-dimensional autonomous systems with a hamiltonian unperturbed part

Authors

  • Vladimir V. Basov St.Petersburg State University, Universitetskiy pr., 28, Petrodvorets, 198504, Russian Federation;
  • Artur S. Vaganyan St.Petersburg State University, Universitetskiy pr., 28, Petrodvorets, 198504, Russian Federation;

Abstract

A new effective method for finding the structures of generalized normal forms (GNF) of two-dimensional autonomous systems with a quasi-homogeneous Hamiltonian unperturbed part in a neighbourhood of the equilibrium is presented. GNFs for systems with the unperturbed part represented by a vector with monomial components are given explicitly. The obtained GNFs are compared to the known results by Takens, Baider and Sanders, Basov et al.

Keywords:

normal forms, formal transformations

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Published

2014-08-01

How to Cite

Basov, V. V., & Vaganyan, A. S. (2014). Generalized normal forms of two-dimensional autonomous systems with a hamiltonian unperturbed part. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 1(3), 351–359. Retrieved from https://math-mech-astr-journal.spbu.ru/article/view/11062

Issue

Vol. 1 No. 3 (2014)

Section

Mathematics

License

Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.

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