Equivariant Hopf bifurcation for functional differential equations of mixed type

نویسنده

  • Shangjiang Guo
چکیده

In this paper we employ the Lyapunov–Schmidt procedure to set up equivariant Hopf bifurcation theory of functional differential equations of mixed type. In the process we derive criteria for the existence and direction of branches of bifurcating periodic solutions in terms of the original system, avoiding the process of center manifold reduction. © 2010 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Appl. Math. Lett.

دوره 24  شماره 

صفحات  -

تاریخ انتشار 2011