Browsing by Subject "Mathematica 10"

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    Dynamics of a Singularly Perturbed Quadratic Family
    (2017) Wang, Lesheng
    Some of the dynamics of the family x→x^2+c+β/x^d are described. Different behaviors occur as the parameter β and c are varied. These transitions are called bifurcations. This singular perturbed quadratic family is treated both as a real system. This paper is based on the various trials done in the Mathematica 10. The main focus of this paper is done for the parameter β and c. Specifi cally, the summary is done to present the general behaviors of the real case. Meanwhile, this paper creates some general behaviors of the system with different parameter d. The dynamics of one dimensional quadratic maps is present.