Normal Forms and Computation for Four-dimension of General Nonlinear Dynamical Systems

LI Jing; YANG Chao-xin; HE Bin

Journal of Beijing University of Technology > 2009 > 35(8): 1138-1141.

LI Jing, YANG Chao-xin, HE Bin. Normal Forms and Computation for Four-dimension of General Nonlinear Dynamical Systems[J]. Journal of Beijing University of Technology, 2009, 35(8): 1138-1141.

Citation:

LI Jing, YANG Chao-xin, HE Bin. Normal Forms and Computation for Four-dimension of General Nonlinear Dynamical Systems[J]. Journal of Beijing University of Technology, 2009, 35(8): 1138-1141.

Citation:

LI Jing, YANG Chao-xin, HE Bin. Normal Forms and Computation for Four-dimension of General Nonlinear Dynamical Systems[J]. Journal of Beijing University of Technology, 2009, 35(8): 1138-1141.

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Normal Forms and Computation for Four-dimension of General Nonlinear Dynamical Systems

College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

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Received Date: January 07, 2008
Available Online: December 09, 2022

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For the traditional method to computer normal form, it is hard to carry out for programming and reply to reduce normal forms for high dimension.The authors study the normal forms for general cases of the four-dimensional nonlinear dynamical systems.For Jordan forms of the linear parts with two double zero and a pair of pure imaginary eigenvalues, with the aid of Maple program and adjoint operator, the authors propose the computation formula and coefficients relations with original system for seven order normal form with four-dimensional general nonlinear dynamical systems without reducing dimension for the first time.The introducing improved adjiont operator method which is convenient to program can effectually solve high dimension problem.
- nonlinear dynamical system,
- normal form,
- Maple program

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