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所属单位：航空学院
发表刊物：ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
关键字：neutral delay differential equation Hopf bifurcation center manifold reduction normal form method of multiple scales implicit differential equations
摘要：Hopf bifurcation analysis is conducted on a scalar implicit Neutral Delay Differential Equation (NDDE) by means of the extension of two analytical methods: 1) center manifold reduction combined with normal form theory; 2) method of multiple scales. The modifications of the classical algorithms originally developed for explicit differential equations lead to the same algebraic results, which are further confirmed by numerical simulations. It is shown that the generalizations of these regular normal form calculation methods are useful for the local nonlinear analysis of implicit NDDEs where the explicit formalism is typically not accessible and the existence and uniqueness of solutions around the equilibrium are only assumed together with the existence of a smooth local center manifold.
ISSN号：1417-3875
是否译文：否
发表时间：2018-01-01
合写作者：Stepan, Gabor
通讯作者：张丽