Adjoint operator Method and Normal Forms of Higher order for Nonlinear Dynamical System

Zhang Wei; Chen Yushu

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(5): 421-432

Zhang Wei, Chen Yushu. Adjoint operator Method and Normal Forms of Higher order for Nonlinear Dynamical System[J]. Applied Mathematics and Mechanics, 1997, 18(5): 421-432.

Citation:

Zhang Wei, Chen Yushu. Adjoint operator Method and Normal Forms of Higher order for Nonlinear Dynamical System[J]. Applied Mathematics and Mechanics, 1997, 18(5): 421-432.

Citation:

Zhang Wei, Chen Yushu. Adjoint operator Method and Normal Forms of Higher order for Nonlinear Dynamical System[J]. Applied Mathematics and Mechanics, 1997, 18(5): 421-432.

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Adjoint operator Method and Normal Forms of Higher order for Nonlinear Dynamical System

Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China

Received Date: 1996-03-06
Publish Date: 1997-05-15

Abstract

Abstract

Normal form theory is,a very effective method when we study degeneratebifurcations of nonlinear dynamical systems.In this paper by using adjoint operatormethod,normal forms of order 3 and 4 for nonlinear dynamical system with nilpotentlinear part and Z₂-asymmetry are computed.According to normal forms obtained,universal unfoldings for some degenerate bifurcation cases of codimension 3 and simpleglobal characterizations,are studied.
- nonlinear dynamical system,
- adjoint operator method,
- normal forms of order 3 and 4,
- degenerate bifurcation of codimension 3,
- universal unfolding

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References(30)

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