Dynamics of a Singularly Perturbed Quadratic Family
2017
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Dynamics of a Singularly Perturbed Quadratic Family
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2017
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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.
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University Honors Capstone Project Paper and Poster, University of Minnesota Duluth, 2017. Department of Mathematics and Statistics. Faculty Advisor: Dr. Bruce Peckham.
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Wang, Lesheng. (2017). Dynamics of a Singularly Perturbed Quadratic Family. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/195236.
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