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
- Bourama Toni, Planar Pseudo-almost Limit Cycles and Applications to solitary Waves , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Sorin G. Gal, Remarks on the generation of semigroups of nonlinear operators on p-Fréchet spaces, 0 < p < 1 , CUBO, A Mathematical Journal: Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal
- Jito Vanualailai, Bibhya Sharma, Moving a Robot Arm: An interesting application of the Direct method of Lyapunov , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal
- Homero G. Díaz-Marín, Osvaldo Osuna, Non-algebraic limit cycles in Holling type III zooplankton-phytoplankton models , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Roberto Dieci, Gian-Italo Bishi, Laura Gardini, Routes to Complexity in a Macroeconomic Model Described by a Noninvertible Triangular Map , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Yuan Zhang, Zuodong Yang, Existence of Entire Solutions for Quasilinear Elliptic Systems under Keller-Osserman Condition , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Junwei Liu, Chuanyi Zhang, Existence and stability of almost periodic solutions to impulsive stochastic differential equations , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Toka Diagana, Khalil Ezzinbi, Mohsen Miraoui, Pseudo-almost periodic and pseudo-almost automorphic solutions to some evolution equations involving theoretical measure theory , CUBO, A Mathematical Journal: Vol. 16 No. 2 (2014): CUBO, A Mathematical Journal
- A.A. Martynyuk, Matrix Liapunov‘s Functions Method and Stability Analysis of Continuous Systems , CUBO, A Mathematical Journal: Vol. 6 No. 4 (2004): CUBO, A Mathematical Journal
- Saulius Minkevicius, Analysis of the Component-Based Reliability in Computer Networks , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
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
