The Application of Improved Recursive Formula for Computing Normal Forms of Four-Dimensional Nilpotent Dynamical Systems

Abstract:

In this paper, an explicit recursive formula of normal forms under nonlinear near-identity transformations is introduced. By solving a series of algebra equations with the aid of Maple, not only the coefficients of k order normal form and the associated nonlinear transformations but also high (>k) order terms of the original equations can be obtained. An example about four-dimensional nilpotent dynamical system is given to show applicability of the recursive formula and the outline of symbolic computer programs is given to support application of the recursive formula.

• Periodical: Applied Mechanics and Materials (Volume 437)
• Pages: 27-31
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.437.27
• Online since: October 2013
• Authors: Lei Guo*, Qun Hong Li, Zi Gen Song
• Keywords: Dynamical System, Nilpotent, Nonlinear Transformations, Normal Form

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