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Matematicheskie Zametki, 2010, Volume 88, Issue 1, Pages 63–77
DOI: https://doi.org/10.4213/mzm8795 (Mi mzm8795) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On New Resonances and Normal Forms of Autonomous Systems with One Zero Eigenvalue

V. S. Samovol

State University – Higher School of Economics
Full-text PDF (481 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm8795
Abstract: In this paper, in a neighborhood of a singular point, we consider autonomous systems of ordinary differential equations such that the matrix of their linear part has one zero eigenvalue, while the other eigenvalues lie outside the imaginary axis. We study the reducibility of such systems to polynomial normal form.
Keywords: autonomous system, ordinary differential equations, singular point, zero eigenvalue, Taylor series, resonance, polynomial normal form.
Received: 17.11.2008
English version:
Mathematical Notes, 2010, Volume 88, Issue 1, Pages 67–78
DOI: https://doi.org/10.1134/S0001434610070072
Bibliographic databases:
Document Type: Article
UDC: 517.91
Language: Russian
Citation: V. S. Samovol, “On New Resonances and Normal Forms of Autonomous Systems with One Zero Eigenvalue”, Mat. Zametki, 88:1 (2010), 63–77; Math. Notes, 88:1 (2010), 67–78
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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