计算分岔规范型和普适开折的同调方法

Abstract

Abstract:

We investigated the computations of bifurcation normal form and universal unfolding with the homological method. For the double\|zero bifurcation with Z₂-symmetry, we gave the homological equation, and derived the explicit computational formulae of normal form, and constructed the linear algebra equations for universal unfolding. Finally, we took a modified van der Pol system as an example to show the advantages of this method.

Key words: double-zero bifurcation, normal form, universal unfolding, homological method

CLC Number:

O175.14

PENG Guo jun, CHEN Chao tian. Homological Method on Computations of BifurcationNormal Form and Universal Unfolding[J].Journal of Jilin University Science Edition, 2013, 51(05): 783-788.

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Homological Method on Computations of BifurcationNormal Form and Universal Unfolding

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