The fold-flip bifurcation
نویسندگان
چکیده
The fold-flip bifurcation occurs if a map has a fixed point with multipliers +1 and −1 simultaneously. In this paper the normal form of this singularity is calculated explicitly. Both local and global bifurcations of the unfolding are analysed by exploring a close relationship between the derived normal form and the truncated amplitude system for the fold-Hopf bifurcation of ODEs. Two examples are presented, the generalized Hénon map and an extension of the Lorenz-84 model. In the latter example the first, second and third order derivatives of the Poincaré map are computed to find the normal form coefficients. Running title: The fold-flip bifurcation. ∗Mathematical Institute, Utrecht University, PO Box 80.010, 3508 TA Utrecht, The Netherlands 1
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عنوان ژورنال:
- I. J. Bifurcation and Chaos
دوره 14 شماره
صفحات -
تاریخ انتشار 2004