Seventh-order Normal Form of a Kind of High-dimensional Nonlinear Dynamical Systems
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Graphical Abstract
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Abstract
The normal form of high-dimension with double-zero and hyperbolic eigenvalues is further reduced and researched based on combining the technique of multi-Lie brackets and the transformation with the parameters.The conclusion is drawn that the seventh-order normal form and fourth-order normal form have the same form of high-dimension nonlinear dynamical systems.
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