Further reduction of Poincaré-Dulac normal forms in symmetric systems
-
Giuseppe Gaeta
gaeta@mat.unimi.it
Downloads
Abstract
The Poincaré-Dulac normalization procedure is based on a sequence of coordinate transformations generated by solutions to homologlcal equations; in the presence of resonances, such solutions are not unique and one has to make some-what arbitrary choices for elements in the kernel of relevant homological operators, different choices producing different higher order effects. The simplest, and usual, choice is to set these kernel elements to zero; here we discuss how a different prescription can lead to a further simplification of the resulting normal form, in a completely algorithmic way.
Keywords
Similar Articles
- Augusto Visintin, About Models of Ferromagnetic Hysteresis , CUBO, A Mathematical Journal: Vol. 5 No. 2 (2003): CUBO, Matemática Educacional
- Manuel Pinto, Some Problems in Functional Differential Equations , CUBO, A Mathematical Journal: No. 8 (1992): CUBO, Revista de Matemática
- Dan Archdeacon, A picture is worth a thousand words: topological graph theory , CUBO, A Mathematical Journal: Vol. 5 No. 1 (2003): CUBO, Matemática Educacional
- Vladimir V'yugin, Victor Maslov, Algorithmic complexity and statistical mechanics , CUBO, A Mathematical Journal: Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal
- Sóstenes Lins, A New Application for Room Squares: Tournaments with Internal Referees , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Pablo A. Díaz, Absolutely continuous spectrum preservation: A new proof for unitary operators under finite-rank multiplicative perturbations , CUBO, A Mathematical Journal: Vol. 27 No. 3 (2025)
- Burkhard Lenze, Mathematical Foundations of Neural Network Theory , CUBO, A Mathematical Journal: Vol. 3 No. 1 (2001): CUBO, Matemática Educacional
- Bouzid Mansouri, Abdelouaheb Ardjouni, Ahcene Djoudi, Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii‘s fixed point theorem , CUBO, A Mathematical Journal: Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal
- Aboudramane Guiro, Idrissa Ibrango, Stanislas Ouaro, Weak homoclinic solutions to discrete nonlinear problems of Kirchhoff type with variable exponents , CUBO, A Mathematical Journal: Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal
- Joseph E. Bonin, A Brief Introduction to Matroid Theory Through Geometry , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
<< < 9 10 11 12 13 14 15 16 17 18 19 20 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2007-12-01
How to Cite
[1]
G. Gaeta, “Further reduction of Poincaré-Dulac normal forms in symmetric systems”, CUBO, vol. 9, no. 3, pp. 1–11, Dec. 2007.
Issue
Section
Articles
