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Author:

Li, Jing (Li, Jing.) (Scholars:李静) | Yuan, Xing (Yuan, Xing.) | Zhang, Li-Na (Zhang, Li-Na.)

Indexed by:

EI Scopus PKU CSCD

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.

Keyword:

Ordinary differential equations Dynamical systems Grading Integral equations

Author Community:

  • [ 1 ] [Li, Jing]College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
  • [ 2 ] [Yuan, Xing]College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
  • [ 3 ] [Zhang, Li-Na]College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

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Source :

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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