Abstract
In this paper, we mainly focus on the unique normal form for a class of three-dimensional vector fields via the method of transformation with parameters. A general explicit recursive formula is derived to compute the higher order normal form and the associated coefficients, which can be achieved easily by symbolic calculations. To illustrate the efficiency of the approach, a comparison of our result with others is also presented.
Original language | English |
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Article number | 1750224 |
Journal | International Journal of Bifurcation and Chaos |
Volume | 27 |
Issue number | 14 |
DOIs | |
Publication status | Published - 30 Dec 2017 |
Externally published | Yes |
Keywords
- Three-dimensional nilpotent vector field
- multiple Lie bracket
- transformation with parameters
- unique normal form