Titlebook: Elements of Applied Bifurcation Theory; Yuri A. Kuznetsov Book 19982nd edition Springer-Verlag New York 1998 bifurcation.dynamical systems

頭腦冷靜

One-Parameter Bifurcations of Fixed Points in Discrete-Time Dynamical Systems, possible dimension in which they can occur: the fold and flip bifurcations for scalar systems and the Neimark-Sacker bifurcation for planar systems. In Chapter 5 it will be shown how to apply these results to .-dimensional systems when . is larger than one or two, respectively.

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Two-Parameter Bifurcations of Fixed Points in Discrete-Time Dynamical Systems,ose evolution operator . approximates the map in question (or an appropriate iterate of the map). We present bifurcation diagrams of the approximate normal forms and discuss their relationships with the original maps.