Reduced Forms of a Singular Vector Field in C3 with Nilpotent Linear Part
Author:
Affiliation:
1. Nagoya University
Publisher
Division of Functional Equations, The Mathematical Society of Japan (JST)
Subject
Geometry and Topology,Algebra and Number Theory,Analysis
Link
https://www.jstage.jst.go.jp/article/fesi/58/2/58_253/_pdf
Reference8 articles.
1. [B] Bogdanov, R. I., Reduction to orbital normal form of a vector field on the plane, Functional Anal. Appl., 10 (1976), 61-62.
2. [I-L] Iooss, G. and Lombardi, E., Polynomial normal forms with exponentially small remainder for analytic vector fields, J. Differential Equations, 212 (2005), 1-61.
3. [K-O-W] Kokubu, H., Oka, H. and Wang, D., Linear grading function and further reduction of normal forms, J. Differential Equations, 132 (1996), 293-318.
4. [L-S] Lombardi, E. and Stolovitch, L., Normal forms of analytic perturbations of quasihomogeneous vector fields: Rigidity, Invariant analytic sets and Exponentially small approximation, Ann. Sci. Éc. Norm. Supér. (4) 43 (2010), 659-718.
5. [M-S] Miyake, M. and Shirai, A., Convergence of formal solutions of first order singular partial differential equations of nilpotent type, Banach Center Publ., 97, Polish Acad. Sci. Inst. Math., Warsaw, 2012, pp. 91-99.
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1. Unique Normal Form for a Class of Three-Dimensional Nilpotent Vector Fields;International Journal of Bifurcation and Chaos;2017-07
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