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ADJOINT OPERATOR METHOD AND NORMAL FORMS OF HIGHER ORDER FOR NONLINEAR DYNAMICAL SYSTEM

ADJOINT OPERATOR METHOD AND NORMAL FORMS OF HIGHER ORDER FOR NONLINEAR DYNAMICAL SYSTEM
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摘要 Normal form theory is a very effective method when we study degenerate bifurcations of nonlinear dynamical systems. In this paper by using adjoint operator method, normal forms of order 3 and 4 for nonlinear dynamical system with nilpotent linear part and Z(2)-asymmetry are computed. According to normal forms obtained, universal unfoldings for some degenerate bifurcation cases of codimension 3 and simple global characterizations, are studied. Normal form theory is a very effective method when we study degenerate bifurcations of nonlinear dynamical systems. In this paper by using adjoint operator method, normal forms of order 3 and 4 for nonlinear dynamical system with nilpotent linear part and Z(2)-asymmetry are computed. According to normal forms obtained, universal unfoldings for some degenerate bifurcation cases of codimension 3 and simple global characterizations, are studied.
作者 张伟 陈予恕
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1997年第5期449-461,共13页 应用数学和力学(英文版)
关键词 nonlinear dynamical system adjoint operator method normal forms of order 3 and 4 degenerate bifurcation of codimension 3 universal unfolding nonlinear dynamical system adjoint operator method normal forms of order 3 and 4 degenerate bifurcation of codimension 3 universal unfolding
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