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NUMERICAL HOPF BIFURCATION OF DELAY-DIFFERENTIAL EQUATIONS

NUMERICAL HOPF BIFURCATION OF DELAY-DIFFERENTIAL EQUATIONS
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摘要 In this paper we consider the numerical solution of some delay differential equations undergoing a Hopf bifurcation. We prove that if the delay differential equations have a Hopf bifurcation point atλ=λ*, then the numerical solution of the equation also has a Hopf bifurcation point atλh =λ* + O(h). In this paper we consider the numerical solution of some delay differential equations undergoing a Hopf bifurcation. We prove that if the delay differential equations have a Hopf bifurcation point atλ=λ*, then the numerical solution of the equation also has a Hopf bifurcation point atλh =λ* + O(h).
出处 《Annals of Differential Equations》 2006年第3期436-441,共6页 微分方程年刊(英文版)
关键词 delay differential equations Euler-method numerical approximation Hopf bifurcation delay differential equations, Euler-method, numerical approximation, Hopf bifurcation
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参考文献1

  • 1T. Koto.Naimark-Sacker Bifurcations in the Euler Method for a Delay Differential Equation[J].Bit Numerical Mathematics.1999(1)

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