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摘要: |
给出了Hopf分岔中向量函数f:Rn×R→Rn的泰勒展示中与黑赛矩阵形成形式相类似的一个比较完美的系数具体表现形式,增强了对向量函数泰勒公式的算子系数的视觉认识。这里向量函数f(x1,x2,...,xn,ρ ) =(f1(x1,x2,...,xn,ρ),f2(x1,x2,...,xn,ρ ),...,fn( x1,x2,...,xn, ρ))T. |
关键词: Hopf分岔 泰勒公式 向量函数 算子 |
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Remarks on Operator Coefficient in Taylor Formula for Vector Function of Hopf Bifurcation |
YUAN Hong, ZHANG Fu-chen, LI Xiao-wu
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Abstract: |
A relatively perfect coefficient expression similar to a Hessian matrix in Taylor expanded formula of vector function of Hopf bifurcation f: R, which enhance visual recognition to operator coefficient of Taylor formula of vector function, here vector function f(x1,x2,...,xn,ρ ) =(f1(x1,x2,...,xn,ρ),f2(x1,x2,...,xn,ρ ),...,fn( x1,x2,...,xn, ρ))T. |
Key words: Hopf bifurcation Taylor formula vector function operator |