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Abstract:
To research hypernormal form (simplest normal form, unique normal form) of nilpotent three-dimensional vector field, the authors obtained the first normal form of this system using normal form theory of ordinary differential equation and dynamical systems, and applying new grading function and the first integral of the linear part. With further reduction the second order normal form was got under the condition that the coefficient of second-degree term was not equal to zero, and its uniqueness was proved.
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Journal of Beijing University of Technology
ISSN: 0254-0037
Year: 2012
Issue: 11
Volume: 38
Page: 1745-1748
Cited Count:
WoS CC Cited Count: 0
SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 7
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